Stability of smooth multi-solitons for the Camassa-Holm equation

DOI10.1007/s00526-021-02175-3zbMath1490.35356OpenAlexW4210317642WikidataQ114017999 ScholiaQ114017999MaRDI QIDQ2113301

Zhong Wang, Yue Liu

Publication date: 14 March 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-02175-3

zbMATH Keywords

Camassa-Holm equationmulti-solitons

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51) Soliton solutions (35C08) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) PDE constrained optimization (numerical aspects) (49M41)

Related Items (5)

Isoinertial operators around the KdV multi-solitons ⋮ Orbital stability of periodic peakons for a new higher-order μ-Camassa–Holm equation ⋮ Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation ⋮ Nonlinear stability of multi-solitons for the Hirota equation ⋮ Spectral stability of multi-solitons for generalized Hamiltonian system. I: The Caudrey-Dodd-Gibbon-Sawada-Kotera equation

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