[HTML][HTML] Wave profile analysis of a couple of (3+ 1)-dimensional nonlinear evolution equations by sine-Gordon expansion approach
Abstract The (3+ 1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-
Kuznetsov equations have a significant impact in modern science for their widespread …
Kuznetsov equations have a significant impact in modern science for their widespread …
[HTML][HTML] Linear and nonlinear effects analysis on wave profiles in optics and quantum physics
In the field of quantum mechanics and fluid physics, especially in the study of nonlinear
geometric optics and superconductivity, the Landau-Ginzburg-Higgs (LGH) and the (2+ 1) …
geometric optics and superconductivity, the Landau-Ginzburg-Higgs (LGH) and the (2+ 1) …
[HTML][HTML] Symmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov–Kuznetsov dynamical model arising in a dust plasma
In this article, we consider the extended Zakharov–Kuznetsov (EZK) equation, which
describes the nonlinear plasma dust acoustic waves (DAWs) in a magnetized dusty plasma …
describes the nonlinear plasma dust acoustic waves (DAWs) in a magnetized dusty plasma …
Conservation laws and exact solutions for coupled Schrödinger–KdV dynamical models arising in plasma
S Wael, SM Maowad, OH El-Kalaawy - Pramana, 2022 - Springer
In the current work, we study the coupled Schrödinger–KdV (CS–KdV) equation. The Lie
point symmetry generators are derived for the CS–KdV equation. We also show that the CS …
point symmetry generators are derived for the CS–KdV equation. We also show that the CS …
Bilinear Bäcklund transformation, N‐soliton, and infinite conservation laws for Lax–Kadomtsev–Petviashvili and generalized Korteweg–de Vries equations
In this paper, we obtain the bilinear form for the Lax–Kadomtsev–Petviashvili (Lax–KP) and
the generalized (3+ 1)‐dimensional Korteweg–de Vries equations based on the binary Bell …
the generalized (3+ 1)‐dimensional Korteweg–de Vries equations based on the binary Bell …
Integrability, conservation laws and exact solutions for a model equation under non-canonical perturbation expansions
In this paper, the non-linear for the small long amplitude waves in two dimensional (2D)
shallow water waves propagation with free surface are considered. The shallow water wave …
shallow water waves propagation with free surface are considered. The shallow water wave …
Modulational instability: conservation laws and bright soliton solution of ion-acoustic waves in electron-positron-ion-dust plasmas
OH El-Kalaawy - The European Physical Journal Plus, 2018 - Springer
We consider the nonlinear propagation of non-planar (cylindrical and spherical) ion-acoustic
(IA) envelope solitary waves in an unmagnetized plasma consisting of electron-positron-ion …
(IA) envelope solitary waves in an unmagnetized plasma consisting of electron-positron-ion …
Bifurcation, similarity reduction, conservation laws and exact solutions of modified-Korteweg-de Vries–Burger equation
In this paper, non-linear propagation of oscillatory and monotonous DIA shocks in dusty
plasma with dust charge fluctuations and small isothermal deviation of electrons is …
plasma with dust charge fluctuations and small isothermal deviation of electrons is …
Bifurcation, bilinear forms, conservation laws and soliton solutions of the temporal-second-order KdV equation
The temporal-second-order KdV equation, which describes the propagation of two wave
modes with different phase velocities and same dispersion relation, nonlinearity and …
modes with different phase velocities and same dispersion relation, nonlinearity and …
Conservation laws, analytical solutions and stability analysis for the time-fractional Schamel–Zakharov–Kuznetsov–Burgers equation
In this paper, we consider the (3+ 1) (3+1)-dimensional time-fractional Schamel–Zakharov–
Kuznetsov–Burgers (SZKB) equation. With the help of the Riemann–Liouville derivatives …
Kuznetsov–Burgers (SZKB) equation. With the help of the Riemann–Liouville derivatives …