New Peakons and Periodic Peakons of the Modified Camassa-Holm Equation

Authors

  • Xinhui Lu
  • Lin Lu
  • Aiyong Chen

DOI:

https://doi.org/10.12150/jnma.2020.345

Keywords:

Camassa-Holm equation, Peakon, Periodic peakon, Solitary wave, Periodic wave.

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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Published

2024-04-10

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Issue

Vol. 2 No. 3 (2020)

Section

Articles

How to Cite

New Peakons and Periodic Peakons of the Modified Camassa-Holm Equation. (2024). Journal of Nonlinear Modeling and Analysis, 2(3), 345-353. https://doi.org/10.12150/jnma.2020.345