Stability of negative solitary waves for an integrable modified Camassa–Holm equation

DOI10.1063/1.3407598zbMath1310.76046OpenAlexW2084331843MaRDI QIDQ5249551

Lixin Tian, Jiuli Yin, Xinghua Fan

Publication date: 6 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3407598

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) A priori estimates in context of PDEs (35B45) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (9)

Stability of negative solitary waves for a generalized Camassa-Holm equation with quartic nonlinearity ⋮ Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities ⋮ On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation ⋮ Initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval ⋮ Towered waves and anti-waves in the generalized Degasperis-Procesi equation ⋮ Stability of smooth solitary waves for the generalized Korteweg-de-Vries equation with combined dispersion ⋮ Orbital stability and dynamical behaviors of solitary waves for the Camassa-Holm equation with quartic nonlinearity ⋮ Orbital stability of elliptic periodic peakons for the modified Camassa-Holm equation ⋮ Orbital stability of the smooth solitary wave with nonzero asymptotic value for the mCH equation

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