Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation

被引：2
|
作者：
Luo, Ting [1 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Zhejiang, Peoples R China
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2024年 / 13卷 / 01期
基金：
中国国家自然科学基金;
关键词：
orbital stability; modified Camassa-Holm-Novikov equation; shallow water equation; multi-peakons; CAUCHY-PROBLEM; PEAKONS;
D O I：
10.1515/anona-2023-0124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consideration herein is the stability issue of peaked solitary wave solution for the modified Camassa-Holm-Novikov equation, which is derived from the shallow water theory. This wave configuration accommodates the ordered trains of the modified Camassa-Holm-Novikov-peaked solitary solution. With the application of conservation laws and the monotonicity property of the localized energy functionals, we prove the orbital stability of this wave profile in the H-1(R) energy space according to the modulation argument.
引用
收藏
页数：30
相关论文
共 50 条
  • [1] The Cauchy Problem for the Camassa-Holm-Novikov Equation
    Zhu, Mingxuan
    Jiang, Zaihong
    ACTA MATHEMATICA SCIENTIA, 2023, 43 (02) : 736 - 750
  • [2] The Cauchy Problem for the Camassa-Holm-Novikov Equation
    Mingxuan Zhu
    Zaihong Jiang
    Acta Mathematica Scientia, 2023, 43 : 736 - 750
  • [3] THE CAUCHY PROBLEM FOR THE CAMASSA-HOLM-NOVIKOV EQUATION
    朱铭旋
    姜在红
    ActaMathematicaScientia, 2023, 43 (02) : 736 - 750
  • [4] On the Cauchy problem for the weakly dissipative modified Camassa-Holm-Novikov equation
    Wu, Jinhong
    Wang, Ying
    Zhu, Min
    MONATSHEFTE FUR MATHEMATIK, 2025, 206 (04): : 967 - 1007
  • [5] Stability of Solitary Waves for the Modified Camassa-Holm Equation
    Li, Ji
    Liu, Yue
    ANNALS OF PDE, 2021, 7 (02)
  • [6] Stability of Solitary Waves for the Modified Camassa-Holm Equation
    Ji Li
    Yue Liu
    Annals of PDE, 2021, 7
  • [7] Periodic peakons to a generalized μ-Camassa-Holm-Novikov equation
    Hwang, Guenbo
    Moon, Byungsoo
    APPLICABLE ANALYSIS, 2022, 101 (14) : 5042 - 5052
  • [8] Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation
    HWANG, G. U. E. N. B. O.
    MOON, B. Y. U. N. G. S. O. O.
    JOURNAL OF EVOLUTION EQUATIONS, 2022, 22 (03)
  • [9] Stability of periodic peaked solitary waves for a cubic Camassa–Holm-type equation
    Guenbo Hwang
    Byungsoo Moon
    Journal of Evolution Equations, 2022, 22
  • [10] PEAKON AND CUSPON SOLUTIONS OF A GENERALIZED CAMASSA-HOLM-NOVIKOV EQUATION
    Zhang, Lijun
    Wang, Yue
    Khalique, C. M.
    Bai, Yuzhen
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (06): : 1938 - 1958
12345