scholarly journals The orbital stability of the solitary wave solutions of the generalized Camassa–Holm equation

2013 ◽  
Vol 398 (2) ◽  
pp. 776-784 ◽  
Author(s):  
Xiaohua Liu ◽  
Weiguo Zhang ◽  
Zhengming Li
Keyword(s):  
Solitary Wave ◽  
Orbital Stability ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Holm Equation

scholarly journals A Note on Solitary Wave Solutions of the Nonlinear Generalized Camassa-Holm Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Lei Zhang ◽  
Xing Tao Wang
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Solitary Wave ◽  
Numerical Simulations ◽  
Solitary Wave Solutions ◽  
Simple Method ◽  
Wave Solutions ◽  
Holm Equation

We give a simple method for applying ordinary differential equation to solve the nonlinear generalized Camassa-Holm equation ut+2kux−uxxt+aumux−2uxuxx+uuxxx=0. Furthermore we give a new ansätz. In the cases where m=1,2,3, the numerical simulations demonstrate the results.

scholarly journals Diverse approaches to search for solitary wave solutions of the fractional modified Camassa–Holm equation

2021 ◽  
pp. 104882
Author(s):  
Asim Zafar ◽  
M. Raheel ◽  
Kamyar Hosseini ◽  
Mohammad Mirzazadeh ◽  
Soheil Salahshour ◽  
...  
Keyword(s):  
Solitary Wave ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Holm Equation
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