Orbital stability of the sum of N peakons for the generalized higher-order Camassa-Holm equation

被引：2
|
作者：
Deng, Tongjie [1 ]
Chen, Aiyong [2 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, Key Lab Comp & Stochast Math, Minist Educ, Changsha 410081, Hunan, Peoples R China
[2] Hunan First Normal Univ, Dept Math, Changsha 410205, Hunan, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Generalized higher-order Camassa-Holm equation; Peakons; Multi-peakons; Orbital stability; SHALLOW-WATER EQUATION; BREAKING; WAVES;
D O I：
10.1007/s00033-022-01796-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The orbital stability of peakons for the generalized higher-order Camassa-Holm equation has been established by Qin et al. (Z Angew Math Phys 73:96, 2022. https://doi.org/10.1007/s00033-022-01739-3) . In this paper, using energy argument and combining the method of the orbital stability of a single peakon with monotonicity of the local energy norm, we prove that the sum of N sufficiently decoupled peakons is orbitally stable in the energy space.
引用
收藏
页数：28
相关论文
共 50 条
  • [21] Peakons and their bifurcation in a generalized Camassa-Holm equation
    Liu, ZR
    Qian, TF
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (03): : 781 - 792
  • [22] Orbital stability of peakon solutions for a generalized higher-order Camassa–Holm equation
    Guoquan Qin
    Zhenya Yan
    Boling Guo
    Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [23] Orbital Stability of Peakons and Multi-peakons for a Generalized Cubic-Quintic Camassa-Holm Type Equation
    Deng, Tongjie
    Chen, Aiyong
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (02) : 493 - 530
  • [24] Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation
    Liu, Xiaochuan
    Liu, Yue
    Qu, Changzheng
    ADVANCES IN MATHEMATICS, 2014, 255 : 1 - 37
  • [25] ORBITAL STABILITY OF ELLIPTIC PERIODIC PEAKONS FOR THE MODIFIED CAMASSA-HOLM EQUATION
    Chen, Aiyong
    Lu, Xinhui
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (03) : 1703 - 1735
  • [26] ORBITAL STABILITY OF PEAKONS AND MULTI-PEAKONS FOR A GENERALIZED QUINTIC-SEPTIC CAMASSA-HOLM TYPE EQUATION
    He, Dandan
    Deng, Tongjie
    Zhang, Kelei
    QUARTERLY OF APPLIED MATHEMATICS, 2024,
  • [27] Peakons of the Camassa-Holm equation
    Liu, ZR
    Qian, TF
    APPLIED MATHEMATICAL MODELLING, 2002, 26 (03) : 473 - 480
  • [28] Orbital stability of pseudo-peakons for the fifth-order Camassa-Holm type equation
    Hu, Qinghua
    Zhu, Mingxuan
    APPLIED MATHEMATICS LETTERS, 2023, 143
  • [29] Instability of H1-stable periodic peakons for the higher-order μ-Camassa-Holm equation
    Chong, Gezi
    Fu, Ying
    Wang, Hao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (01)
  • [30] Stability of the μ-Camassa-Holm Peakons
    Chen, Robin Ming
    Lenells, Jonatan
    Liu, Yue
    JOURNAL OF NONLINEAR SCIENCE, 2013, 23 (01) : 97 - 112
12345