Travelling wave solutions of Drinfel'd–Sokolov–Wilson, Whitham–Broer–Kaup and (2+ 1)-dimensional Broer–Kaup–Kupershmit equations and their applications
In this paper, some new exact travelling wave solutions are constructed in different form of
coupled partial differential equations having terms of odd and even order partial derivative …
coupled partial differential equations having terms of odd and even order partial derivative …
[HTML][HTML] Symmetry analysis and exact Jacobi elliptic solutions for the nonlinear couple Drinfeld Sokolov Wilson dynamical system arising in shallow water waves
We adopted the Lie symmetry technique to obtain some new exact waveform solutions for
the coupled Drinfeld Sokolov Wilson (DSW) system. This system emerges from phenomena …
the coupled Drinfeld Sokolov Wilson (DSW) system. This system emerges from phenomena …
Extended trial equation method to generalized nonlinear partial differential equations
In this article, we give the extended trial equation method for solving nonlinear partial
differential equations with higher order nonlinearity. By use of this method, the exact …
differential equations with higher order nonlinearity. By use of this method, the exact …
Application of the trial equation method for solving some nonlinear evolution equations arising in mathematical physics
Application of the trial equation method for solving some nonlinear evolution equations arising in
mathematical physics Page 1 PRAMANA c Indian Academy of Sciences Vol. 77, No. 6 — journal …
mathematical physics Page 1 PRAMANA c Indian Academy of Sciences Vol. 77, No. 6 — journal …
The investigation of exact solutions of nonlinear partial differential equations by using exp (− Φ (ξ)) method
In this work, the methodology of the exp (− Φ (ξ)) method is given. The effectiveness of the
method is demonstrated by applications to two nonlinear partial differential equations …
method is demonstrated by applications to two nonlinear partial differential equations …
[HTML][HTML] Soliton structures and dynamical behaviors for the integrable system of Drinfel'd–Sokolov–Wilson equations in dispersive media
This study is used to investigate the exact explicit solutions and dynamical behaviors of the
(1+ 1)-dimensional integrable system of Drinfel'd–Sokolov–Wilson equations in dispersive …
(1+ 1)-dimensional integrable system of Drinfel'd–Sokolov–Wilson equations in dispersive …
[HTML][HTML] Chaotic behavior and solitary wave solutions of stochastic-fractional Drinfel'd–Sokolov–Wilson equations with Brownian motion
T Han, Z Zhao, K Zhang, C Tang - Results in Physics, 2023 - Elsevier
The stochastic-fractional Drinfel'd–Sokolov–Wilson equation is a presently improved
nonlinear partial differential equation in electromagnetism and fluid mechanics. Using the …
nonlinear partial differential equation in electromagnetism and fluid mechanics. Using the …
[HTML][HTML] Mathematical analysis of the generalized Benjamin and Burger-KdV equations via the extended trial equation method
FBM Belgacem, H Bulut, HM Baskonus… - Journal of the Association …, 2014 - Elsevier
In this paper, using the Extended Trial Equation (ETEM), we get new traveling wave
solutions of the Generalized Benjamin, the Generalized Burger-Kdv Equations (GBE …
solutions of the Generalized Benjamin, the Generalized Burger-Kdv Equations (GBE …
[HTML][HTML] Abundant analytical closed-form solutions and various solitonic wave forms to the ZK-BBM and GZK-BBM equations in fluids and plasma physics
Solitary wave profiles of various forms can be found in many disciplines, including
oceanography, marine engineering, plasma physics, optical fibers, fluid dynamics, and …
oceanography, marine engineering, plasma physics, optical fibers, fluid dynamics, and …
The generalized bifurcation method for deriving exact solutions of nonlinear space-time fractional partial differential equations
Z Wen - Applied Mathematics and Computation, 2020 - Elsevier
In this paper, we develop a generalized bifurcation method to study exact solutions of
nonlinear space-time fractional partial differential equations (PDEs), which is based on the …
nonlinear space-time fractional partial differential equations (PDEs), which is based on the …