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Exact Peakon, Periodic Peakon and Pseudo-Peakon Solutions of the Rotation-Two-Component Camassa–Holm System

Jibin Li

http://orcid.org/0000-0003-4839-5956

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

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

E-mail Address: lijb@zjnu.cn

E-mail Address: lijb@hqu.edu.cn

Corresponding author.

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Guanrong Chen

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

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, and

Yan Zhou

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

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https://doi.org/10.1142/S0218127420501394Cited by:7 (Source: Crossref)

Abstract

In this paper, the method of dynamical systems developed in [Li & Chen, 2007] is applied to the rotation-two-component Camassa–Holm system. Through qualitative analysis, under given parameter conditions, exact explicit solitary wave solution, pseudo-peakon solution, peakon and periodic peakon, as well as compacton solution, are obtained. Some parameter conditions constraints are derived for ensuring the existence of these solutions.

The authors are supported by the National Natural Science Foundation of China (11162020, 11871231).

Keywords:

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