Stability of Periodic Peakons for a Nonlinear Quartic μ-Camassa-Holm Equation

被引：0
作者：
Moon, Byungsoo [1 ]
机构：
[1] Incheon Natl Univ, Dept Math, Incheon 22012, South Korea
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2024年 / 36卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Quartic mu-Camassa-Holm equation; Camassa-Holm equation; Integrable system; Peakons; Stability; SHALLOW-WATER EQUATION; KORTEWEG-DE-VRIES; ORBITAL STABILITY; WAVE-BREAKING; PARTICLE TRAJECTORIES; DIFFEOMORPHISM GROUP; INVARIANT METRICS; WELL-POSEDNESS; GEODESIC-FLOW; INSTABILITY;
D O I：
10.1007/s10884-022-10156-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the orbital stability of periodic peaked traveling waves (peakons) for a nonlinear quartic mu-Camassa-Holm equation. The equation is a mu-version of the nonlinear quartic Camassa-Holm equation which was proposed by Anco and Recio (J Phys A Math Theor 52:125-203, 2019). The equation admits the periodic peakons. It is shown that the periodic peakons are orbitally stable under small perturbations in the energy space by finding inequalities related to the three conservation laws with global maximum and minimum of the solution.
引用
收藏
页码：703 / 725
页数：23
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