scholarly journals Exact traveling wave solutions for nonlinear PDEs in mathematical physics using the generalized Kudryashov method

2016 ◽  
Vol 13 (2) ◽  
pp. 203-227 ◽  
Author(s):  
El-Sayed Zayed ◽  
Abdul-Ghani Al-Nowehy
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Mathematical Physics ◽  
Nonlinear Pdes ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method

scholarly journals Exact Traveling Wave Solutions to the (2 + 1)-Dimensional Jaulent-Miodek Equation

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Yongyi Gu ◽  
Bingmao Deng ◽  
Jianming Lin
Keyword(s):  
Differential Equations ◽  
Computer Simulations ◽  
Traveling Wave ◽  
Nonlinear Differential Equations ◽  
Traveling Wave Solutions ◽  
Mathematical Physics ◽  
Complex Method ◽  
Exact Traveling Wave Solutions ◽  
Applied Method ◽  
Wave Solutions

We derive exact traveling wave solutions to the (2 + 1)-dimensional Jaulent-Miodek equation by means of the complex method, and then we illustrate our main result by some computer simulations. It has presented that the applied method is very efficient and is practically well suited for the nonlinear differential equations that arise in mathematical physics.

New traveling wave solutions of the perturbed nonlinear Schrödingers equation in the left-handed metamaterials

2018 ◽  
Vol 13 (01) ◽  
pp. 2050022 ◽  
Author(s):  
Alphonse Houwe ◽  
Mibaile Justin ◽  
Serge Y. Doka ◽  
Kofane Timoleon Crepin
Keyword(s):  
Exact Solutions ◽  
Traveling Wave ◽  
Fiber Optic ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Simple Equation ◽  
Left Handed ◽  
Wave Solutions ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method

This paper extracts the analytical soliton solutions of the perturbed NLSE given in (1). We use successfully two integration methods namely the extended simple equation method and generalized Kudryashov method. In view of the results obtained, some new additional ones have been obtained. The results are dark, bright and exact solutions that propagate in the fiber optic and left-handed metamaterials (LHMs).

scholarly journals The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
E. M. E. Zayed ◽  
K. A. E. Alurrfi
Keyword(s):  
Traveling Wave ◽  
Evolution Equations ◽  
Burgers Equation ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Riccati Equations ◽  
Mathematical Physics ◽  
Nonlinear Evolution Equations ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions

We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation and the generalized, nonlinear Zakharov-Kuznetsov equation. This method presents wider applicability for handling many other nonlinear evolution equations in mathematical physics.

Research on sensitivity analysis and traveling wave solutions of the (4+1)-dimensional nonlinear Fokas equation via three different techniques

2021 ◽  
Author(s):  
Melike Kaplan Yalçın ◽  
Arzu Akbulut ◽  
Nauman Raza
Keyword(s):  
Sensitivity Analysis ◽  
Nonlinear Equation ◽  
Traveling Wave ◽  
Function Method ◽  
Graphical Representation ◽  
Traveling Wave Solutions ◽  
Analytical Techniques ◽  
Wave Solutions ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method

Abstract In the current manuscript, (4+1) dimensional Fokas nonlinear equation is considered to obtain traveling wave solutions. Three renowned analytical techniques, namely the generalized Kudryashov method (GKM), the modified extended tanh technique, exponential rational function method (ERFM) are applied to analyze the considered model. Distinct structures of solutions are successfully obtained. The graphical representation of the acquired results is displayed to demonstrate the behavior of dynamics of nonlinear Fokas equation. Finally, the proposed equation is subjected to a sensitive analysis.

scholarly journals The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs

2019 ◽  
Vol 4 (3) ◽  
pp. 896-909 ◽  
Author(s):  
M. A. Habib ◽  
◽  
H. M. Shahadat Ali ◽  
M. Mamun Miah ◽  
M. Ali Akbar ◽  
...  
Keyword(s):  
Closed Form ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method

scholarly journals The Traveling Wave Solutions for Some Nonlinear PDEs in Mathematical Physics

2011 ◽  
Vol 02 (03) ◽  
pp. 343-347 ◽  
Author(s):  
Khaled A. Gepreel ◽  
Saleh Omran ◽  
Sayed K. Elagan
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Mathematical Physics ◽  
Nonlinear Pdes ◽  
Wave Solutions
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