A. Latifi

Qom University Of Technology · departement of fundamental sciences

This work is an analytical investigation of the evolution of surface water waves in Miles and Jeffreys theories of wind wave interaction in water of finite depth. The present review is divided into two major parts. The first corresponds to the surface water waves in a linear regime and its nonlinear extensions. In this part, Miles theory of wave am...

This work is an analytical investigation of the evolution of surface water waves in Miles and Jeffreys theories of wind wave interaction in water of finite depth. The present review is divided into two major parts. The first corresponds to the surface water waves in a linear regime and its nonlinear extensions. In this part, Miles theory of wave am...

In the quantum three-body problem, There are three possible models: 1. Each particle interacts independently with the two others, forming three interacting pairs. Pairwise interactions refer to this model. 2. Each particle interacts with the centre of mass of the two others, called the pure three-body interaction. 3. Each particle interacts with th...

In this study, the evolution of surface water solitary waves under the action of Jeffreys’ wind–wave amplification mechanism in shallow water is analytically investigated. The analytic approach is essential for numerical investigations due to the scale of energy dissipation near coasts. Although many works have been conducted based on the Jeffreys’...

We derive the anti dissipative Serre-Green-Naghdi (SGN) equations in the context of nonlinear dynamics of surface water waves under wind forcing, in finite depth. The anti-dissipation occurs du to the continuos transfer of wind energy to water surface wave. We find the solitary wave solution of the system, with an increasing amplitude under the win...

We elaborate on a new methodology, which starting with an integrable evolution equation in one spatial dimension, constructs an integrable forced version of this equation. The forcing consists of terms involving quadratic products of certain eigenfunctions of the associated Lax pair. Remarkably, some of these forced equations arise in the modelling...

We elaborate on a new methodology, which starting with an integrable evolution equation in one spatial dimension, constructs an integrable forced version of this equation. The forcing consists of terms involving quadratic products of certain eigenfunctions of the associated Lax pair. Remarkably, some of these forced equations arise in the modelling...

The slogan “nobody is safe until everybody is safe” is a dictum to raise awareness that in an interconnected world, pandemics, such as COVID-19, require a global approach. Motivated by the ongoing COVID-19 pandemic, we model here the spread of a virus in interconnected communities and explore different vaccination scenarios, assuming that the effic...

The slogan "nobody is safe until everybody is safe" is a dictum to raise awareness that in an interconnected world, pandemics such as COVID-19, require a global approach. Motivated by the ongoing COVID-19 pandemic, we model here the spread of a virus in interconnected communities and explore different vaccination scenarios, assuming that the effica...

Labyrinth chaos was discovered by Otto Rössler and René Thomas in their endeavour to identify the necessary mathematical conditions for the appearance of chaotic and hyperchaotic motion in continuous flows. Here, we celebrate their discovery by considering a single labyrinth walks system and an array of coupled labyrinth chaos systems that exhibit...

Labyrinth chaos was discovered by Otto R\"ossler and Ren\'e Thomas in their endeavour to identify the necessary mathematical conditions for the appearance of chaotic and hyperchaotic motion in continuous flows. Here, we celebrate their discovery by considering a single labyrinth walks system and an array of coupled labyrinth chaos systems that exhi...

In this paper, we show that "Labyrinth walks", the conservative version of "Labyrinth chaos" and member of the Thomas-R\"ossler class of systems, does not admit an autonomous Hamiltonian as a constant function in time, and as a consequence, does not admit a symplectic structure. However, it is conservative, and thus admits a vector potential, being...

A new physical and mathematical model of Rayleigh-Benard convection in a gas-vapor mixture of oxygen and cyclohexane is proposed, where the dependence of density on temperature has its maximum. Linear analysis of stability is performed, two threshold cases are analyzed when the density inversion parameter is large or small enough. Formulae for the...

We provide here a comprehensive proof that the so-called Labyrinth chaos systems, a member of the Thomas-R\"ossler (TR) class of systems do not admit a Hamiltonian; yet they admit a vector potential. The proof starts from the general case of TR systems, which are in general non-conservative and we show that this is also true for the conservative (v...

Using an appropriate set of variables, the Hamiltonian of the full three-body problem of Calogero-Sutherland type including two and three-body interactions is shown to be a Laplace-Beltrami differential operator. Its eigenfunctions are then expressed in term of Jack polynomials. The wave functions for distin-guishable, fermionic and bosonic particl...

The Hamiltonian of the three-body problem with two and three-body interactions of Calogero–Sutherland type written in an appropriate set of variables is shown to be a differential operator of Laplace–Beltrami \(H_{LB}\) type. Its eigenfunction is expressed then in terms of Jack Polynomials. In the case of identical distinguishable fermions, the onl...

In this article, we consider a 3-body system with two and three-body interaction of Calogero-Sutherland type. Calogero-Sutherland systems are ordered systems and without Coulombian interaction. This characteristic allows us to use Jack polynomials to express the energy of this system by means of the partitions of Jack polynomials.

The Miles' quasi laminar theory of waves generation by wind in finite depth h is presented. In this context, the fully nonlinear Green-Naghdi model equation is derived for the first time. This model equation is obtained by the non perturbative Green-Naghdi approach, coupling a nonlinear evolution of water waves with the atmospheric dynamics which w...

In this article, we consider the trigonometric 3-body g2 algebra and we study W-invariant commuting differential operators which includes complete integrable Hamiltonian of 3-body system with trigonometric interactions. In this context, we find for the first time the constants of motion of this problem. To do so, we have conjectured the forms of th...

This work regards the extension of the Miles’ and Jeffreys’ theories of growth of wind-waves in water of finite depth. It is divided in two major sections. The first one corresponds to the surface water waves in a linear regimes and the second one to the surface water waver considered in a weak nonlinear, dispersive and anti-dissipative regime. In...

This work regards the extension of the Miles’ and Jeffreys’ theories of growth of wind-waves in water of finite depth. It is divided in two major sections. The first one corresponds to the surface water waves in a linear regimes and the second one to the surface water waver considered in a weak nonlinear, dispersive and antidissipative regime. In t...

In this paper, we introduce the geodesic deviation equation by considering the curvature and torsion. The equations governing the displacement of test masses in presence of gravitational waves are obtained in two approaches; firstly, by considering curvature based on general relativity, and the other, is by considering torsion based on its definiti...

A new set of nonlinear coupled equations is derived in the context of small amplitude limit of the general wave equations in a fluid type warm electrons/cold ions plasma irradiated by a continuous laser beam. This limit is proved to be integrable by means of the spectral transform theory with singular dispersion relation. An exact asymptotic soluti...

The equations for gravitational plane waves produced by a typical binary system as a solution of linear approximation of Einstein equations is derived. The dynamics of the corresponding gravitational field is analyzed in a 4-dimensional space-time manifold, endowed with a metric and taking into account the torsion. In this context, the geometrical...

A new set of nonlinear coupled equations is derived in the context of small amplitude limit of the general wave equations in a fluid type warm electrons/cold ions plasma irradiated by a continuous laser beam. This limit is proved to be integrable by means of the spectral transform theory with singular dispersion relation. An exact asymptotic soluti...

In this study, we have investigated the effect of the number of wells and quantum ring thickness on subband energy levels, intersubband transition energies and optical properties of a constant total effective radius multi-wells quantum rings. By increasing of the number of wells from 1 to 2, we have red shift in the absorption peak positions while...

Riemannian geometry is the most influential non-Euclidean geometry in physics through Ein-stein's General Relativity. But the Riemannian space is not the most general non-Euclidean geometry, since it does not include torsion. Torsion is the result of an asymmetry of connection coefficients with respect to the swapping of indices. Different attempts...

The authors derive and study a hierarchy of nonlinear coupled evolution equations (among which is the coupled Korteveg-de Vries/Schrodinger equation) for which they prove that a mixed initial-boundary value problem is solvable. They give the method of solution together with the Backlund transformation and establish the infinite set of conserved den...

A perturbative method proves the nonintegrability in the Painlevé sense. The search for all possible particular solutions in closed form proves the nonexistence of any vacuum solution other than the three known ones.

The perturbation of an exact solution exhibits a movable transcendental essential singularity, thus proving the nonintegrability. Then, all possible exact particular solutions which may be written in closed form are isolated with the perturbative Painleve test; this proves the inexistence of any vacuum solution other than the three known ones.

The perturbation of an exact solution exhibits a movable transcendental essential singularity, thus proving the nonintegrability. Then, all possible exact particular solutions which may be written in closed form are isolated with the perturbative Painlev\'e test; this proves the inexistence of any vacuum solution other than the three known ones.

The perturbation of an exact solution exhibits a movable transcendental essential singularity, thus proving the nonintegrability. Then, all possible exact particular solutions which may be written in closed form are isolated with the perturbative Painlev\'e test; this proves the inexistence of any vacuum solution other than the three known ones.

The perturbation of an exact solution exhibits a movable transcendental essential singularity, thus proving the nonintegrability. Then, all possible exact particular solutions which may be written in closed form are isolated with the perturbative Painlev\'e test; this proves the inexistence of any vacuum solution other than the three known ones.

A perturbative method proves the nonintegrability in the Painlevé sense. The search for all possible particular solutions in closed form proves the inexistence of any vacuum solution other than the three known ones. NLS 94, Chernogolovka, 25 July-3 August 1994 S94/084 The Bianchi IX cosmological model in the logarithmic time τ [?, ?, ?] σ 2 (Log A)...

The analytical proofs of the nonintegrability of the Bianchi IX model are exhibited.

We study the evolution of Langmuir waves coupled to the ion acoustic wave by means of the ponderomotive force in the Karpman limit (caviton equation). Using the spectral transform with singular dispersion relation, it is shown that the background noise (fluctuations in the ion density) is amplified and its time asymptotic behavior will be a static...

A detailed study of a system of coupled waves is given for which an initial‐boundary value problem is solved by means of the spectral transform theory. This system represents the nonlinear interaction of an electrostatic high‐frequency wave with the ion acoustic wave in a two component homogeneous plasma. As a result it is understood the plasma ins...

In the context of one-dimensional nonlinear waves in plasmas, we derive an integrable model of coupled nonlinear equations for the description of the interaction of the Langmuir waves with the acoustic waves through the ponderomotive force. Our model includes nonlinearity and dispersion of the acoustic wave and accounts for a resonant scattering of...

We study here the dynamical interaction of the electrostatic waves (ESW) with the ion acoustic waves (IAW), in one spatial dimension, by deriving from the hydrodynamic Poisson-Maxwell equations for the plasma an integrable model for which we solve an initial/boundary value problem. The boundary value problem consists in prescribing the incoming ESW...

To describe the dynamics of the interaction of a (small amplitude) laser beam with a plasma in the fluid approximation, taking into account the stimulated Brillouin back-scattering, the broadening of the pump wave and the ponderomotive effects (nonlinear coupling), we build a one-dimensional model by means of multiscale expansions. The electronic d...

The perturbation of an exact solution exhibits a movable transcendental essential singularity, thus proving the nonintegrability. Then, all possible exact particular solutions which may be written in closed form are isolated with the perturbative Painleve test; this proves the inexistence of any vacuum solution other than the three known ones.