@Article{JNMA-7-794, author = {He , DandanZhang , Kelei and Tang , Shengqiang}, title = {Orbital Stability of the Sum of $N$ Peakons for the CH-mCH Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {3}, pages = {794--822}, abstract = {

This paper is concerned with a generalization of the modified Camassa-Holm equation with both cubic and quadratic nonlinearities (also known as the CH-mCH equation). We mainly prove the orbital stability of the train of peakons for the CH-mCH equation in energy space, using energy arguments and combining the method of orbital stability of a single peakon with the monotonicity of the local energy norm.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.794}, url = {http://global-sci.org/intro/article_detail/jnma/24103.html} }