scholarly journals Single peak solitary wave solutions for the CH-KP(2,1) equation under boundary condition

2015 ◽  
Vol 259 (2) ◽  
pp. 628-641 ◽  
Author(s):  
Minzhi Wei ◽  
Xianbo Sun ◽  
Shengqiang Tang
Keyword(s):  
Boundary Condition ◽  
Solitary Wave ◽  
Single Peak ◽  
Solitary Wave Solutions ◽  
Wave Solutions

Single peak solitary wave solutions for the Fornberg–Whitham equation

2012 ◽  
Vol 91 (3) ◽  
pp. 587-600 ◽  
Author(s):  
Aiyong Chen ◽  
Jibin Li ◽  
Wentao Huang
Keyword(s):  
Solitary Wave ◽  
Single Peak ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Whitham Equation

Bifurcations and Single Peak Solitary Wave Solutions of an Integrable Nonlinear Wave Equation

2016 ◽  
Vol 8 (6) ◽  
pp. 1084-1098
Author(s):  
Wei Wang ◽  
Chunhai Li ◽  
Wenjing Zhu
Keyword(s):  
Wave Equation ◽  
Solitary Wave ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Soliton Solutions ◽  
Single Peak ◽  
Dynamical System Theory ◽  
Solitary Wave Solutions ◽  
Analytical Technique ◽  
Wave Solutions

AbstractDynamical system theory is applied to the integrable nonlinear wave equation ut±(u3–u2)x+(u3)xxx=0. We obtain the single peak solitary wave solutions and compacton solutions of the equation. Regular compacton solution of the equation correspond to the case of wave speed c=0. In the case of c≠0, we find smooth soliton solutions. The influence of parameters of the traveling wave solutions is explored by using the phase portrait analytical technique. Asymptotic analysis and numerical simulations are provided for these soliton solutions of the nonlinear wave equation.

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