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

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).

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.

Traveling wave solutions and conservation laws of a generalized Kudryashov–Sinelshchikov equation

2019 ◽  
Vol 25 (2) ◽  
pp. 211-217 ◽  
Author(s):  
Ben Muatjetjeja ◽  
Abdullahi Rashid Adem ◽  
Sivenathi Oscar Mbusi
Keyword(s):  
Heat Transfer ◽  
Evolution Equation ◽  
Conservation Laws ◽  
Traveling Wave ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Pressure Waves ◽  
Wave Solutions ◽  
Kudryashov Method

Abstract Kudryashov and Sinelshchikov proposed a nonlinear evolution equation that models the pressure waves in a mixture of liquid and gas bubbles by taking into account the viscosity of the liquid and the heat transfer. Conservation laws and exact solutions are computed for this underlying equation. In the analysis of this particular equation, two approaches are employed, namely, the multiplier method and Kudryashov method.

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

2020 ◽  
Vol 95 (7) ◽  
pp. 075217 ◽  
Author(s):  
H M Srivastava ◽  
D Baleanu ◽  
J A T Machado ◽  
M S Osman ◽  
H Rezazadeh ◽  
...  
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Directional Couplers ◽  
Wave Solutions ◽  
Modified Kudryashov Method ◽  
Kudryashov Method
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