@Article{JNMA-2-345, author = {Lu , XinhuiLu , Lin and Chen , Aiyong}, title = {New Peakons and Periodic Peakons of the Modified Camassa-Holm Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {3}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.345}, url = {http://global-sci.org/intro/article_detail/jnma/18815.html} }