@Article{JNMA-2-3, author = {Xinhui, Lu and Lu, Lin and Chen, Aiyong}, title = {New Peakons and Periodic Peakons of the Modified Camassa-Holm Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2020}, 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 = {https://global-sci.com/article/88017/new-peakons-and-periodic-peakons-of-the-modified-camassa-holm-equation} }