Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa

Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa–Holm Equation

Published:2022-04 Issue:05 Volume:32 Page:
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Zhou Yuqian¹,Chen Guanrong²,Li Jibin¹³⁴^ORCID

Affiliation:

1. School of Applied Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan 610225, P. R. China

2. Department of Electrical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China

3. School of Mathematical Science, Huaqiao University, Quanzhou, Fujian 362021, P. R. China

4. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejing 321004, P. R. China

Abstract

For the modified Camassa–Holm equation, by using the methodologies of dynamical systems and singular traveling wave theory developed by Li and Chen [2007] to its corresponding traveling wave system, under different parameter conditions, all possible exact explicit bounded solutions (solitary wave solutions, periodic wave solutions, peakon, periodic peakons, as well as compactons) are obtained. More than 23 explicit exact parametric representations of the above-mentioned traveling wave system are presented.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127422500766

Reference11 articles.

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3. A New Integrable Shallow Water Equation

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