J. Nonl. Mod. Anal., 7 (2025), pp. 794-822.
Published online: 2025-05
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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} }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.