Year: 2025
Author: Dandan He, Kelei Zhang, Shengqiang Tang
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 3 : pp. 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.794
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 3 : pp. 794–822
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Camassa-Holm equation CH-mCH equation peakons multi-peakons orbital stability.