
Kamalesh Chandra RoyBegum Rokeya University | BRUR · Department of Mathematics
Kamalesh Chandra Roy
Master of Philosophy
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11
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Introduction
Additional affiliations
October 2011 - April 2015
April 2015 - January 2022
January 2005 - October 2011
Publications
Publications (11)
This article presents the new exact traveling wave solutions of fourth order (1+1)-dimensional Boussinesq equation. We proposed a new exponential expansion method and apply to undertake this study. The analytical solutions are defined by various types of mathematical functions. This study further shows some solitary and periodic waves graphically....
This research work is to represent an advance exp(-Φ(ξ))-expansion method with nonlinear ordinary differential
equation for constructing interacting analytical solutions of nonlinear coupled physical models arising in science and
engineering. It is capable of determining all branches of interacting analytical solutions simultaneously and this diffi...
The theoretical investigations of resonance physical phenomena by nonlinear coupled evolution equations are
become important in currently. Hence, the purpose of this paper is to represent an advance exp (-Φ(ξ))-expansion method with
nonlinear ordinary differential equation for finding exact solutions of some nonlinear coupled physical models. The p...
Review works Solar System Effects in Schwarzschild de-Space Time. The Schwarzschild space-time describes the gravitational field of a spherically symmetric mass. Based on this space-time we calculate Solar system effects like gravitational redshift, light deflection, gravitational time delay, perihelion shift, geodetic precession.
Temperature change plays a crucial role in global change sciences. In the past several decades, comprehensive findings have been achieved on temperature change in China for the past 100 years. Several time series have been created to illustrate the averaged surface air temperature for the country. The correlations of these series range from 0.73 to...
We have considered the steady laminar flow over a linearly stretching sheet subjected to an order of chemical reaction. A similarity transformation is utilized to convert the governing nonlinear partial differential equations into ordinary differential equations. The exact solution to this study may obtained by exploiting the fact that some feature...
Combining extended Krylov-Bogoliubov-Mitropolskii (KBM) and harmonic balance methods, an analytical technique is presented to determine approximate solutions of nonlinear systems with damping and varying coefficients. The first approximate solution (perturbation) in which the unperturbed solutions contain few harmonic terms show good agreement with...
Second approximate solut ion of a second order differential equation with slowly varying coefficients and damping is obtained by Krylov-Bogoliubov-Mitropolskii method. The method is illustrated by an example. The second or higher order approximate solution is able to give better results than first approximate solution when the reduced frequency is...
Combining Krylov–Bogoliubov–Mitropolskii (KBM) and harmonic balance methods, an analytical technique is presented to determine approximate solutions of nonlinear oscillatory systems with damping. The first approximate perturbation solutions in which the unperturbed solutions contain two harmonic terms agree with numerical solutions nicely even if t...
This paper attempts to show the more suitability of the extended general Struble's technique than the unified Krylov–Bogoliubov–Mitropolskii (KBM) method in solving the problems that occur during the critical conditions. Recently a critically damped condition of an nth, n=2,3, … order weakly nonlinear autonomous ordinary differential equation has b...
An asymptotic method has been found to obtain approximate solution of a second of a second order Nonlinear Differential system based on the extension of Krylov-Bogoliubov-mitropolskii method, whose coefficients change slowly and periodically with time. Moreover a non-autonomous case also investigated in which an external periodic force acts in the...