Nonlinear stability of smooth multi-solitons for the Dullin-Gottwald-Holm equation

DOI10.1016/j.jde.2024.08.037MaRDI QIDQ6644976

Shou-Fu Tian, Zhi-Jia Wu

Publication date: 28 November 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilityHamiltonianintegrable systemmulti-solitoninverse scattering approach

Mathematics Subject Classification ID

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) KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

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