TY - JOUR
T1 - Orbital Stability of the Sum of $N$ Peakons for the CH-mCH Equation
AU - He , Dandan
AU - Zhang , Kelei
AU - Tang , Shengqiang
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 794
EP - 822
PY - 2025
DA - 2025/05
SN - 7
DO - http://doi.org/10.12150/jnma.2025.794
UR - https://global-sci.org/intro/article_detail/jnma/24103.html
KW - Camassa-Holm equation, CH-mCH equation, peakons, multi-peakons, orbital stability.
AB - <p style="text-align: justify;">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.</p>