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Research Article | Open Access

Explicit compacton and generalized kink wave solutions for a CH-DP equation

Shaoyong Li1, Shangjiu Wang1( ), Yin Li1, Keqiang Li2
School of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, China
School of Artificial Intelligence, Ningbo University of Finance and Economics, Ningbo 315175, China
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Abstract

This study aimed to investigate the traveling solutions of the Camassa-Holm and Degasperis-Procesi (CH-DP) equation. By using the qualitative theory of dynamical systems and integrating along special phase orbits, we present exact explicit expressions of compacton and generalized kink wave solutions to the CH-DP equation. Our results will enrich the previous literature and help to understand the propagation of nonlinear waves.

Keywords

CH-DP equationcompactongeneralized kinkexact explicit expression

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Electronic Research Archive
Volume 34 Issue 7,
July 2026
Pages 4611-4625
DOI: 10.3934/era.2026203

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Cite this article:
Li S, Wang S, Li Y, et al. Explicit compacton and generalized kink wave solutions for a CH-DP equation. Electronic Research Archive, 2026, 34(7): 4611-4625. https://doi.org/10.3934/era.2026203

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Received: 27 January 2026
Revised: 17 May 2026
Accepted: 22 May 2026
Published: 15 July 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)