TY - JOUR
T1 - New Peakons and Periodic Peakons of the Modified Camassa-Holm Equation
AU - Lu , Xinhui
AU - Lu , Lin
AU - Chen , Aiyong
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 345
EP - 353
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.345
UR - https://global-sci.org/intro/article_detail/jnma/18815.html
KW - Camassa-Holm equation, Peakon, Periodic peakon, Solitary wave,
Periodic wave.
AB - <p style="text-align: justify;">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.</p>