Decay property of solutions near the traveling wave solutions for the second-order Camassa–Holm equation

2019 ◽  
Vol 183 ◽  
pp. 230-258 ◽  
Author(s):  
Danping Ding ◽  
Kai Wang
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Second Order ◽  
Decay Property ◽  
Wave Solutions ◽  
Holm Equation

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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