Year: 2020
Author: Xinhui Lu, Lin Lu, Aiyong Chen
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 345–353
Abstract
In this paper, we obtain new peakon and periodic peakon solutions to a modified Camassa-Holm equation. We change the modified Camassa-Holm equation into a planar system. Then the first integral and algebraic curves of this system are obtained. By using the first integral and algebraic curves, a new peakon solution is given by hyperbolic function. Moreover, some new periodic peakons are given by elliptic functions and triangle functions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.345
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 345–353
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Camassa-Holm equation Peakon Periodic peakon Solitary wave Periodic wave.