scholarly journals Solitary wave solutions for a time-fraction generalized Hirota–Satsuma coupled KdV equation by an analytical technique

2009 ◽  
Vol 33 (7) ◽  
pp. 3107-3113 ◽  
Author(s):  
Z.Z. Ganji ◽  
D.D. Ganji ◽  
Y. Rostamiyan
Keyword(s):  
Solitary Wave ◽  
Kdv Equation ◽  
Solitary Wave Solutions ◽  
Analytical Technique ◽  
Wave Solutions ◽  
Coupled Kdv Equation

scholarly journals Solitary wave solutions of two KdV-type equations

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 311-318 ◽  
Author(s):  
Khalil Salim Al-Ghafri
Keyword(s):  
Solitary Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Kdv Equation ◽  
Nonlinear Evolution Equations ◽  
Solitary Wave Solutions ◽  
Dispersive Equation ◽  
Wave Solutions ◽  
Kdv Type Equations ◽  
Projective Riccati Equation Method

AbstractThe present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised KdV equation. To achieve our goal, we have applied the projective Riccati equation method. As a result, many exact solutions in the form of solitary wave solutions and combined formal solitary wave solutions are obtained

New Non-traveling Solitary Wave Solutions for a Second-order Korteweg-de Vries Equation

1999 ◽  
Vol 54 (6-7) ◽  
pp. 375-378 ◽  
Author(s):  
Woo-Pyo Hong ◽  
Young-Dae Jung
Keyword(s):  
Solitary Wave ◽  
Symbolic Computation ◽  
Traveling Wave ◽  
Vries Equation ◽  
Kdv Equation ◽  
Traveling Wave Solutions ◽  
Second Order ◽  
Solitary Wave Solutions ◽  
Current Interest ◽  
Wave Solutions

Abstract Modeling the propagation of two different wave modes simultaneously, the second-order KdV equation is of current interest. Applying a tanh-typed method with symbolic computation, we have found certain new analytic soliton-typed solutions which go beyond the the previously obtained traveling wave solutions.

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