Travelling wave solutions of Drinfel'd–Sokolov–Wilson, Whitham–Broer–Kaup and (2+ 1)-dimensional Broer–Kaup–Kupershmit equations and their applications

M Arshad, AR Seadawy, D Lu, J Wang - Chinese Journal of Physics, 2017 - Elsevier
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 …

[HTML][HTML] Symmetry analysis and exact Jacobi elliptic solutions for the nonlinear couple Drinfeld Sokolov Wilson dynamical system arising in shallow water waves

M Usman, A Hussain, FD Zaman, SM Eldin - Results in Physics, 2023 - Elsevier
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 …

Extended trial equation method to generalized nonlinear partial differential equations

Y Gurefe, E Misirli, A Sonmezoglu, M Ekici - Applied Mathematics and …, 2013 - Elsevier
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 …

Application of the trial equation method for solving some nonlinear evolution equations arising in mathematical physics

Y Gurefe, A Sonmezoglu, E Misirli - Pramana, 2011 - Springer
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 …

The investigation of exact solutions of nonlinear partial differential equations by using exp (− Φ (ξ)) method

A Akbulut, M Kaplan, F Tascan - Optik, 2017 - Elsevier
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 …

[HTML][HTML] Soliton structures and dynamical behaviors for the integrable system of Drinfel'd–Sokolov–Wilson equations in dispersive media

HI Alrebdi, MH Rafiq, N Fatima, N Raza, MN Rafiq… - Results in Physics, 2023 - Elsevier
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 …

[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 …

[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 …

[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

S Kumar, M Niwas, N Mann - Partial Differential Equations in Applied …, 2021 - Elsevier
Solitary wave profiles of various forms can be found in many disciplines, including
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 …