scholarly journals Chiral Solitons with Bohm Potential by Modified Simple Equation Method and Trial Equation Scheme

2018 ◽  
Vol 134 (6) ◽  
pp. 1120-1125 ◽  
Author(s):  
A. Biswas ◽  
Y. Yildirim ◽  
E. Yasar ◽  
Qin Zhou ◽  
S.P. Moshokoa ◽  
...  
Keyword(s):  
Simple Equation ◽  
Equation Method ◽  
Bohm Potential ◽  
Modified Simple Equation Method ◽  
Chiral Solitons

Optical soliton perturbation with Gerdjikov–Ivanov equation by modified simple equation method

Optik ◽  
2018 ◽  
Vol 157 ◽  
pp. 1235-1240 ◽  
Author(s):  
Anjan Biswas ◽  
Yakup Yildirim ◽  
Emrullah Yasar ◽  
Houria Triki ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Simple Equation ◽  
Equation Method ◽  
Soliton Perturbation ◽  
Modified Simple Equation Method

scholarly journals New Soliton Solutions of the (2+1)-Dimensional System Davey-Stewartson Equation

2018 ◽  
Vol 7 (4.1) ◽  
pp. 37 ◽  
Author(s):  
Anwar J Ja'afar Mohamad Jawad ◽  
Mahmood J. Abu-Al Shaeer ◽  
Marko D. Petkovi_c
Keyword(s):  
Soliton Solutions ◽  
Travelling Wave ◽  
Simple Equation ◽  
Equation Method ◽  
Initial System ◽  
Wave Transformation ◽  
Dimensional System ◽  
Modified Simple Equation Method ◽  
Complex Coefficients

In this paper, we derive several soliton solutions of the generalized Davey-Stewartson equation with the complex coefficients. First we use the travelling wave transformation to reduce the initial system to ODE. The equivalent ODE is then solved, giving several classes of solutions, depending on the values of the parameters. Finally, the Extended Tanh-Coth method and Modified simple equation method.  

The Modified Simple Equation Method, the Exp-Function Method, and the Method of Soliton Ansatz for Solving the Long–Short Wave Resonance Equations

2016 ◽  
Vol 71 (2) ◽  
pp. 103-112 ◽  
Author(s):  
E.M.E. Zayed ◽  
Abdul-Ghani Al-Nowehy
Keyword(s):  
Exact Solutions ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Short Wave ◽  
Simple Equation ◽  
Equation Method ◽  
Wave Resonance ◽  
Modified Simple Equation Method

AbstractThe modified simple equation method, the exp-function method, and the method of soliton ansatz for solving nonlinear partial differential equations are presented. Based on these three different methods, we obtain the exact solutions and the bright–dark soliton solutions with parameters of the long-short wave resonance equations which describe the resonance interaction between the long wave and the short wave. When these parameters take special values, the solitary wave solutions are derived from the exact solutions. We compare the results obtained using the three methods. Also, a comparison between our results and the well-known results is given.

Optical solitons with complex Ginzburg–Landau equation by modified simple equation method

Optik ◽  
2017 ◽  
Vol 144 ◽  
pp. 475-480 ◽  
Author(s):  
Ahmed H. Arnous ◽  
Aly R. Seadawy ◽  
Rubayyi T. Alqahtani ◽  
Anjan Biswas
Keyword(s):  
Landau Equation ◽  
Optical Solitons ◽  
Simple Equation ◽  
Equation Method ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Modified Simple Equation Method
Sign in / Sign up

Export Citation Format

Share Document