Orbital Stability of the Sum of $N$ Peakons for the CH-mCH Equation

Authors

  • Dandan He
  • Kelei Zhang
  • Shengqiang Tang

DOI:

https://doi.org/10.12150/jnma.2025.794

Keywords:

Camassa-Holm equation, CH-mCH equation, peakons, multi-peakons, orbital stability.

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.

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Published

2025-06-03

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Issue

Vol. 7 No. 3 (2025)

Section

Articles

How to Cite

Orbital Stability of the Sum of $N$ Peakons for the CH-mCH Equation. (2025). Journal of Nonlinear Modeling and Analysis, 7(3), 794-822. https://doi.org/10.12150/jnma.2025.794