Emad H.M. Zahran

• Doctor of Engineering
• Lecturer at College of engineering Shubra.

In this work, we will study one of the notable integrable models, the Akbota-Gudekli-Kairat-Zhaidary Equation, which belongs to a class of integrable space curves and surfaces. It exhibits a wide range of traveling wave solutions, facilitated by the existence of a Lax pair associated with the nonlinear differential equation. The primary focus of th...

The soliton solutions of the two-dimensional homogeneous Bose–Einstein Condensates Model that is related to the atomic interactions strength and the initial momentum have been discussed through this article to explain the vision when the initial momentum is sufficiently high; the thickness of the bubble-shaped BEC undergoes a counterintuitive thinn...

New diverse enormous soliton solutions to the Gross–Pitaevskii equation, which describes the dynamics of two dark solitons in a polarization condensate under non-resonant pumping, have been constructed for the first time by using two different schemes. The two schemes utilized are the generalized Kudryashov scheme and the ( G’ / G )-expansion schem...

The paper aims to establish diverse types of the soliton solutions for the integrable Kuralay equations to discuss the integrable motion of the induced space curves by these equations. The solitons arising from the integrable Kuralay equations are considered by tall superiority and qualitative studies for many effective phenomena in various fields...

The paper aims to establish diverse types of the soliton solutions for the integrable Kuralay equations to discuss the integrable motion of the induced space curves by these equations. The solitons arising from the integrable Kuralay equations are considered by tall superiority and qualitative studies for many effective phenomena in various fields...

We will study the transmission of double-hump solitons of the coupled Manakov equations (CME) that have unlimited position for the generation and amplification of double-hump solitons in fiber lasers. These double-hump soliton solutions of CME will be extracted by using three ansatz techniques that are prepared for this target. The first one has pr...

The main target of this article is extracting new various types of the solitons emerging from the complex wave patterns which is famous model arising in telecommunications engineering line. These new visions of these solitons will be constructed in the framework of three impressive techniques that are used for the first time for this purpose. The t...

The Myrzakulov–Lakshmanan Equation-II (MLE-II) that refers to the (2 + 1)-dimensional integrable spin system has five various formalisms. In Our current study we will construct new types of the soliton solutions for only one of these forms namely the MLE-II. These new types of soliton solutions will be constructed through three impressive, effectiv...

In this article, we employ the Black Scholes model which plays a vital role in economic operation and financial market management. The Paul-Painlevé approach is used for the first time to achieve the exact wave solution to this equation. Furthermore, the numerical solution to this equation has been constructed by using the variational iteration met...

This research paper is about the ultrasound propagation, which propagates the mechanical vibration of the molecules or of the particles of a material. It measures the speed of sound in air. Ultrasound imaging is being used in a well-established way to produce pictures of tissues inside the body of human beings. They are modeled in non-linear wave e...

One of the important problems arising in biology science is the bacteria motion that surrenders to some operators as light, heat…,etc. The Chavy-Waddy-Kolokolnikov equation (CWKE) is considered one of the famous models in biology branch that is very valuable in the modeling bacteria collective formation attracted to the light. Hereby, we will study...

In this article, we will introduce new types of private soliton solutions to the higher order nonlinear Schrödinger equation (HOSE), containing cubic–quintic–septic nonlinearity, weak nonlocal nonlinearity, self-frequency shift, and self-steepening effect. The suggested model describes the propagation of an optical pulse in the weakly nonlocal nonl...

In this paper, the new optical wave solutions of truncated M-fractional perturbed Kundu–Eckhaus model with full non-linearity are obtained by utilizing the expa\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\...

Our attention concenters on deriving diverse forms of the soliton arising from the Myrzakulov-Lakshmanan XXXII (M-XXXII) that describes the generalized Heisenberg ferromagnetic equation. This model has been solved numerically only using the N-fold Darboux Transformation method, not solved analytically before. We will derive new types of the analyti...

In this study, we will extract new impressive visions for the optical soliton solution and other novel set of the rational soliton solutions to the perturbed Biswas-Milovic equation with Kudryashov’s law of refractive index (PBMEWKL) that describes pulses propagation of different categories in optical fiber. Three various schemas are enforcement to...

In this paper, the new optical wave solutions of truncated M-fractional perturbed Kundu-Eckhaus model with full non-linearity are obtained by utilizing the expa function technique and modified extended tanh expansion function technique. The solutions are in the form of dark soliton, bright soliton, singular solitons and other form of solutions. The...

In this work, new varieties of unexpected scenarios for the solitons arising from the spatio-temporal dispersion (1+1)-dimensional Ito-equation (STDIE) are considered as an extension of the KdV (mKdV) type to higher order and usually employed to predict the rolling behavior of ships in regular sea. Moreover, they can describe the interaction proces...

The fundamental objective of this work is focused to achieve a class of advanced and impressive exact estimations to the Zoomeron equation and the time-fraction biological population model through contrivance by a couple of important and magnificent techniques, namely, the modified extended tanh-function method which depend on the balance theory an...

In our current article, we establish four new types of group for the optical soliton solutions to the three dimensional modified Zakharov–Kuznetsov equation’s new model. Four distinct and impressive techniques are used for this target, which are the extended simple equation method (ESEM), the extended direct algebraic method (EDAM), the G′G\documen...

Throughout this work, three different methodologies namely the the (G’/G)-expansion method, the extended simple equation method and the Paul-Painleve approach method were introduced, to offer a variety of novel analytical solutions to the nonlinear Schrödinger equation that describes few-cycle pulse propagation in metamaterials. The obtained result...

This article includes the extended simple equation method (ESEM) and the Paul-Painlevé approach method (PPAM), two different methodologies, to offer a variety of novel analytical performances for the (1 + 1)-dimensional Van Der Waals (VDW) gas system. The variational iteration method (VIM), whose initial condition will be obtained from these soluti...

In this study, we will derive many new diverse performances for the solitary wave solutions to the DNA Peyrard–Bishop Model with Beta-Derivative (DNAPBM) via three distinctive techniques. The first one has profile name: The (G′/G)-expansion method, while the second one has the profile name: the extended direct algebraic method (EDAM) and the third...

In our current article, we will use two diverse methods namely the extended simple equation method (ESEM) and the extended direct algebraic method (EDAM) to extract the soliton solutions of popularized anti-cubic nonlinear Schrödinger equation that is very useful in the field of the optics. The obtained rational solutions via these two reliable, ef...

The main purpose of this study was to produce abundant new types of soliton solutions for the Radhakrishnan-Kundu-Lakshmanan equation that represents unstable optical solitons that emerge from optical propagations through the use of birefringent fibers. These new types of soliton solutions have behaviors that are bright, dark, W-shaped, M-shaped, p...

In our current study, we will derive new diverse enormous impressive analytical optical soliton solutions for the Schrödinger–Poisson dynamical system. The proposed model is applied in gravity field with the corresponding quantum state that produces coupling between different gravity states. Moreover, this model has a significant role in the field...

In this work we will extract new private types of impressive soliton solutions for two distinct models that describe propagation of waves in nonlinear optics. The first one is the perturbed Gerdjikov-Ivanov equation (PGIE) which act for the dynamics of solitons propagation that carry quantic nonlinearity of Schrödinger's equation while Schrödinger'...

In this article, new variety types of exact solution to the Fujimoto-Watanable- equation (FWE) that equivalent to the modified Korteweg- de Vries- equation have been derived. These new types of solutions which weren’t realized before by any other technique have been established in the framework of the Ricatti-Bernolli Sub-ODE method (RBSODM). Also,...

Throughout this work, we will derive new various types of lump solutions to the nonlinear Schrödinger equation that describing few-cycle pulse propagation in metamaterials. The propagation of waves through optical fibre is one of recent phenomenon that plays fundamental rule in all telecommunication processes as well as medicine devices industries,...

The main aim of this article is to establish new impressive diverse soliton solutions to the nonlinear Coupled Konno-Oono Model (NCKOM) that represents current-field string interact with an external magnetic field. The achieved soliton solutions will give stretch study for this model and all related phenomena’s. Three different schemes have been ca...

In our current study, we will derive new diverse enormous impressive analytical optical soliton solutions for the Schrödinger-Poisson dynamical system. The proposed model is applied in gravity field with the corresponding quantum state that produces coupling between different gravity states. Moreover, this model has a significant role in the field...

The paper aims at establishing diverse types of the soliton solutions for the integrable Kuralay equations to discuss the integrable motion of the induced space curves by these equations. The soliton arising from the integrable Kuralay equations are considered by tall superiority and qualitative studies for many effective phenomenon' in various fie...

The main aim of this article is to established new impressive diverse soliton solutions to the nonlinear Coupled Konno-Oono model (NCKOM) that represents current-field string interact with an external magnetic field. The achieved soliton solutions will give stretch study for this model and all related phenomena’s. Three different schemas have been...

In this work, we will design unexpected configurations for the optical soliton propagation in lossy fiber system in the presence of the dispersion term solitons via two distinct and impressive techniques. The first one is the (G′/G)‐expansion method, while the second is solitary wave ansatze method. The two methods are implemented in the same vein...

In this article, we will establish new impressive vision for the solitary solutions of Bogoyavlenskii-equation (BE) that represents the (2 + 1)-dimensional interaction of a Riemann wave propagation along definite axis along wave on the normal to it. A comparison between the achieved results from the point of view of three different mathematical ana...

The propagation of solitons in birefringent fiber is one of the phenomena that has an important role in all modern technological means of communication. The generalized (2 + 1) nonlinear Schrödinger equation (GNLSE) with its four-mixing waves (FMW) is the famous model that describes the propagation of solitons in birefringent fiber perfectly. In fa...

In the current letter, we will generate new unexpected and impressive optical soliton solutions to the perturbed Gerdjikov–Ivanov equation that look like in the nonlinear fiber optics and photonic crystal fibers, has distinguished act for the dynamics of the propagation of solitons that carry quartic nonlinearity of Schrödinger’s equation. These ne...

In this paper, the nonlinear dynamical exact wave solutions to the non-fractional order and the time-fractional order of the biological population models are achevied for the first time in the framwork of the Paul-Painlevé approachmethod (PPAM). When the variables appearing in the exact solutions take specific values, the solaitry wave solutions wi...

In this article, we will apply the solitary wave ansatz technique and the modified stretched mapping technique to achieve the solitary wave solutions for the cubic-nonlinear Schrödinger equation which describes the slowing varying wave packets and generic small amplitude. The achieved solitary wave solutions using these two distinct techniques will...

In the present work, we will detect unpredicted conducts “which weren't realized before” to the soliton solutions of the (2+1)-Boussinesq equation by using three distinct algorithms. The proposed equation is the famous nonlinear one which distinguishes the waves of coastal and ocean engineering that involve the nonlinearity and dispersion terms. Mo...

In this study, we applied sub-equation method, Kudryashov method and exp-function method for time fractional Huxley equation (TFHE) in the sense of the conformable derivative and obtained new exact solutions. The results show that these methods are very effective for solving nonlinear fractional differential equations (NFDEs) that arose in mathemat...

In this paper, we will implement a comparison between three different perceptions to the behavior of the exact solution to the generalized Hirota–Satsuma coupling Korteweg–de Vries System (GHSCKDVS). The proposed model plays a vital role in different branches of physics and applied mathematics. Specially, this model describes dispersive waves as th...

In this article, we will establish new impressive vision for the solitary solutions of Bogoyavlenskii-equation (BE) that represent the (2 + 1)-dimensional interaction of a Riemann wave propagation along definite axis along wave on the normal to it. A comparison between the achieved results from the point of view of three different mathematical anal...

The main target of this work is implementing new accurate impressive optical solitons for four forms of the nonlinear refractive index cubic–quartic through birefringent fibers which play a vital role in all modern telecommunications process. These four different forms have profile names which are the cubic–quartic in polarization-preserving fibers...

In our current work, we will extract abundant analytical optical soliton solutions to the (3+1)-Boussinesq equation ((3+1)-BE) by using three different techniques that are implemented for the first time to this model. The suggested model is the developed one that governs the coastal and ocean engineering waves that involve the nonlinearities and th...

In this work, we will construct the new unexpected designs to the solitons arising from geophysical Korteweg–de Vries equation (GPKdVE), which is one of the famous Korteweg–de Vries (KdV) equations. These new soliton designs will be detected in the framework of three different techniques. The three techniques that are chosen for this purpose are th...

In our current study, we will extract enormous, impressive soliton solutions to a (2+1)-dimensional Heisenberg ferromagnetic spin chains with bilinear and anisotropic interactions in the semi classical limit. The suggested model has its wide importance for many magnetism phenomena. Specially, it is very momentous in modern magnetism theory in which...

The principal objective of this work focuses on achieving a class of advanced and impressive N-dark–dark solitons estimations to the coupled nonlinear Schrödinger system (CNLSS) that represents the propagation of optical pluses in the model-locked fiber lasers. The achieved results will perfectly describe different nonlinear coherent structures for...

In this article, we utilize the generalized full nonlinearity perturbed complex Fokas-Lenells model (GFLM) which is a general dynamics representation of modern electronic communications "Internet blogs, Facebook communication and Twitter comments". The modified simple equation method (MSEM) has been applied effectively to generate closed form solut...

In our current paper, we will extract new unexpected diverse variety of the exact solutions to the Keller-Segel -Fisher system (KSFS) which is a famous mathematical biological model that governs the mechanism of bacteria to discovery food and gets rid of venoms. The suggested model plays a vital rule for health of humans, animals as well as all oth...

The main target of this work is implementing multiple accurate cubic optical solitons for the nonlinear Schrödinger equation in the presence of third-order dispersion effects, absence of the chromatic dispersion. The emergence cubic optical solitons of the proposed model are extracted for the Kerr-Law and Power-Law nonlinearity in the framework of...

From point of view of two distinct various techniques accurate solutions for the thin-film ferroelectric materials equation which plays vital role in optics are implemented which represent haw utilized waves propagate through ferroelectric materials. The first one is the modified simple equation method which surrender to the balance rule and gives...

In this article, the Paul–Painleve approach (PPA) which was formulated recently and built on the balance role has been used perfectly to achieve new impressive solitary wave solutions to the nanosoliton of ionic waves (NSOIW) propagating along the microtubules in the living cells. In addition, variational iteration method (VIM) has been applied in...

From the point of view of the extended simple equation method, multiple new private distinct types for the cubic-quartic optical soliton birefringent fibers with four forms nonlinear refractive index have been extracted. The suggested model has vital effective effect in all modern telecommunications process. The suggested method which has invited f...

The main target of this work implements new accurate impressive optical solitons for four forms of the nonlinear refractive index cubic-quartic through birefringent fibers which play a vital role in all modern telecommunications process. These four different forms listed under whose profile names which are the cubic-quartic in polarization-preservi...

From the point of view of two distinct methods, we will construct new multiple types of private exact solutions of the (2+1)-dimensional modified Zakharov–Kuznetsov equation (MZKE) which is a famous model in plasma physics. The suggested methods for this purpose are the extended simple equation method (ESEM) and the Paul–Painleve approach method (P...

In this article the perturbed Gerdjikov-Ivanov (GI)-equation which acts for the dynamics of propagation of solitons is employed. The balanced modified extended tanh-function (METF)and the non-balanced Riccati-Bernoulli Sub-ODE (RBSub-ODE) methods are used for the first time to obtain the new optical solitons of this equation. The obtained results g...

From point of view of this work, we will establish a novelty impressive behavior to the traveling wave solutions to the Benjamin-Bona-Mahony-Burgers equation (BBMBE) with dual power-law nonlinearity which is stretch to the Korteweg-de Varies equation but has more advantages compared with it. The traveling wave solutions of this equation have been a...

From the point power of view of the extended simple equation method, multiple new private distinct types for the cubic-quartic optical soliton birefringent fibers with four forms nonlinear refractive index which have and play a vital effective effect in all modern telecommunications process have been extracted. The suggested method which continuous...

In this study, we will establish multiple-impressive different perceptions for the solitary wave solution to the magneto-optic waveguides with anti-cubic nonlinearity (MOWWACN) in the framework of three distinct manners. The three manners are implemented in the same vein and parallel to extract multiple new perceptions for the solitary wave solutio...

In this paper, new exact traveling wave solutions for the coupling Boiti-Leon-Pempinelli system are obtained by using two important different methods. The first is the modified extended tanh function methods which depend on the balance rule and the second is the Ricatti-Bernoulli Sub-ODE method which doesn’t depend on the balance rule. The solitary...

In this article we will utilize new perception of the Benjamin-Bona-Mahony equation that represents developed stretch for the Korteweg-de Varies equation which denotes to the unidirectional propagation of small amplitude long waves on the surface of hydro magnetic and acoustic waves in channel significantly for shallow water. The main idea of this...

The main target of this work is implementing multiple accurate cubic optical solitons for the nonlinear Schrödinger equation in the presence of third-order dispersion effects, absence of the chromatic dispersion. The emergence cubic optical solitons of the proposed model are extracted for the kerr-law and power law nonlinearity in the framework of...

In this article, the Paul-Painlevé approach which is a new important technique that has been discovered recently and gives surprise results is used to achieve the optical soliton solutions of the thin-film ferro-electric materials equation. The obtained results which haven’t been achieved before by using any other methods can be considered as a ben...

In this article, we will study the modified nonlinear Schrödinger equation which represents the propagation of rogue waves in ocean engineering that occur in deep water, usually far out at sea, and are a threat even to capital ships and ocean liners. In related subject for all like waves which occurred at different branches of science which have th...

In this article, we employ the Mikhailov–Novikov–Wang integrable equation (MNWIE) appearing by means of the perturbatives symmetry approach to the rating of integrable non‐evolutionary PDEs. The new exact soliton solutions of this equation which were not achieved before have been realized for the first time in the framework of the (G′/G)‐expansion...

In this paper, we will solve the (3 + 1)-dimensional Yu–Toda–Sassa–Fukuyama equation (YTSFE) which widely investigates the dynamics of solitons and nonlinear wave arising in a fluid dynamics, plasma physics and weakly dispersive media. The Paul-Painlevé approach (PPA) is used for the first time to achieve the soliton solutions of this equation. Fur...

This paper focuses on realizing the exact solutions of three distinct important biological models using the Painlevé approach. These three models are the nonlinear dynamics of microtubules — a new model, the Kundu–Eckhaus model and the double chain model of DNA. Furthermore, the numerical solutions of these three equations have been achieved using...

The main target of this article is to realize bright and dark soliton solutions to the complex Kundu-Eckhaus equation which represents a general form of integrable system that is gauge-equivalent to the mixed nonlinear Schrödinger equation. This soliton solution which represents the propagation of the ultra-short femtosecond pulses and the rogue wa...

In this article, the perturbed Fokas-Lenells equation (FLE)” which plays a vital role in modern asocial media and electronic communication” is employed. Two important different methods are invited to demonstrating new accurate solutions of this equation. The first method is the modified simple equation method (MSEM) that reduces large volume of cal...

In this article, we employ the nonlinear complex conformable Kundu–Eckhaus model which represents the propagation of the ultra-short femtosecond pulses and the rogue wave in an optical fiber. The exact and solitary wave solutions of this model are obtained for the first time in the framework of the modified extended tanh-function method. The obtain...

In this article, the three nonlinear Maccari’s-system (TNLMS) which describe how isolated waves are propagates in finite region of space is included. New accurate travelling wave solutions of this model are obtained using the balanced modified extended tanh-function method (BMETFM).The obtained results give an accuracy interpretation of the propaga...

In this paper, we utilized the Jaulent-Miodek equation which is one of important models in particle physics and engineering. The exact traveling wave solutions for this equation "involving parameters" according to two different techniques are constructed. When these parameters are taken as special values , the solitary wave solutions are derived fr...

In this study, the modified extended tanh-function method is handling to obtain many new solitary wave solutions of two important models in nonlinear physics. The first one is the foam drainage equation which is a simple model for describing the flow of liquid through channels and nodes between the bubbles, driven by gravity and capillarity. The se...

In this paper, we employ the extended tanh function method to find the exact traveling wave solutions and solitary wave solutions involving parameters of the Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling...

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to some nonlinear evolution equations which play an important role in mathematical physics. Keywords Extended Jacobian elli...

In this research, we employ the extended exp (- φ (ξ))-expansion method for the first time to obtain the exact and solitary wave solutions of the (3+1)-Dimensional Yu-Toda-SasaFukuyama Equation. We obtain the wide range of exact and solitary wave solutions of distinct physical structure.

The extended exp−-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a new double-Chain model of DNA, the nonlinear Burger equation with power law non linearity and the perturbed nonlinear Schrodinger equation with Kerr law non linearity. The proposed method give a wide range for the solut...

In this research, we find the exact traveling wave solutions involving parameters of the generalized Hirota- Satsuma couple KdV system according to the 𝒆xp(−𝝋(𝝃)) -expansion method and when these parameters are taken to be special values we can obtain the solitary wave solutions which is derived from the exact traveling wave solutions. It is shown...

In this work, exact traveling wave solutions of Bogoyavlenskii equation are studied by using the modified extended tanh-function method. This method presents a wider applicability for handling many other nonlinear evolution equation in mathematical physics.

In this work, exact traveling wave solutions of Bogoyavlenskii equation are studied by using the modified extended tanh-function method. This method presents a wider applicability for handling many other nonlinear evolution equation in mathematical physics.

In this research, we find the exact traveling wave solutions involving parameters of the generalized Hirota-Satsuma couple KdV system according to the modified extended tanh-function method with the aid of Maple 16. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is...

In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to Dynamical system in a new Double-Chain Model of DNA and a diffusive predator-prey system which play an important role in...

In this paper, we employ the exp(−φ(ξ))-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides a more powerfu...

In this paper, we employ the ( G'/G, 1/G)-expansion method to find the exact traveling wave solutions involving parameters of nonlinear dynamics of microtubulesa New Model. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provi...

The exp(-φ(ξ))-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a new double-Chain model of DNA and a diffusive predator-prey system. The proposed method also can be used for many other nonlinear evolution equations.

In this paper, we employ extended tanh-function method and the (G G)-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equation Modified Li-ouville equation and comparison between this two method and another method which have been solved it. When these parameters are taken to be special values,...

The exp((−�� (�� ))-expansion method is used as the first time to investigate the wave solution of a nonlinear the space-time nonlinear fractional PKP equation, the space-time nonlinear fractional SRLW equation, the space-time nonlinear fractional STO equation and the space-time nonlinear fractional KPP equation. The proposed method also can be use...

In this paper, we employ the (G'/G, 1/G )-expansion method to find the exact traveling wave solutions involving parameters of nonlinear dynamics of microtubulesa New Model. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provi...

The extended exp (-ϕ(ξ))-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a newdouble-Chain model of DNA, the nonlinear Burger equation with power law non linearity and the perturbed nonlinear Schrodinger equation with Kerr law non linearity. The proposed method give a wide range for the...

The modified simple equation method is employed to find the exact traveling wave solutions involving parameters for nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the modified simple equation method provides an eff...

In this work, exact traveling wave solutions of the system of shallow water wave equations and a diffusive predator-prey system are studied by the(G'/G)-expansion method. The solutions obtained are general solutions which are in the form of hyperbolic, trigonometric and rational functions and a variety of special solutions like kink shaped, anti ki...

The exp(-ϕ(ξ))-expansion method is used as the first time to investigate the wave solution of the nonlinear Burger equation with power law non-linearity, the perturbed non-linear Schrodinger equation with Kerr law non linearity. The proposed method also can be used for many other nonlinear evolution equations. Keywords: exp(-ϕ(ξ))-expansion method,...