scholarly journals Modulational instability, multiple Exp-function method, SIVP, solitary and cross-kink solutions for the generalized KP equation

2021 ◽  
Vol 6 (7) ◽  
pp. 7555-7584
Author(s):  
Junjie Li ◽  
◽  
Gurpreet Singh ◽  
Onur Alp İlhan ◽  
Jalil Manafian ◽  
...  
Keyword(s):  
Function Method ◽  
Modulational Instability ◽  
Kp Equation ◽  
Generalized Kp Equation

THE EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS IN THE GARDNER AND GARDNER–KP EQUATIONS

2012 ◽  
Vol 22 (05) ◽  
pp. 1250126 ◽  
Author(s):  
FANG YAN ◽  
CUNCAI HUA ◽  
HAIHONG LIU ◽  
ZENGRONG LIU
Keyword(s):  
Traveling Wave ◽  
Function Method ◽  
Traveling Wave Solutions ◽  
Analytic Solutions ◽  
Auxiliary Function ◽  
Kp Equation ◽  
Gardner Equation ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Kp Equations

By using the method of dynamical systems, this paper studies the exact traveling wave solutions and their bifurcations in the Gardner equation. Exact parametric representations of all wave solutions as well as the explicit analytic solutions are given. Moreover, several series of exact traveling wave solutions of the Gardner–KP equation are obtained via an auxiliary function method.

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