Exact kink wave solutions and peakons of a generalized Camassa–Holm equation

Ming Song; Junru Liu; Shaoyong Li

Results in Applied Mathematics (May 2022)

Exact kink wave solutions and peakons of a generalized Camassa–Holm equation

Ming Song,
Junru Liu,
Shaoyong Li

Affiliations

Ming Song: Department of Mathematics, Shaoxing University, Shaoxing 312000, China; Corresponding author.
Junru Liu: Department of Mathematics, Shaoxing University, Shaoxing 312000, China
Shaoyong Li: School of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, China

Journal volume & issue: Vol. 14
p. 100268

Abstract

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Utilizing the qualitative theory and bifurcation method to discuss a generalized Camassa–Holm equation ut−uxxt+(2ku+p+22up+1)x=(pup−1ux22+upuxx)x.In the case of p=2and p=3, the bifurcation phase portraits and various new explicit kink wave solutions, peakons solutions and some implicit solutions of the equation are obtained.

Published in Results in Applied Mathematics

ISSN: 2590-0374 (Online)
Publisher: Elsevier
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: https://www.journals.elsevier.com/results-in-applied-mathematics/

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