Stability of solitary waves for the generalized higher-order Boussinesq equation

DOI10.1007/s10884-012-9250-9zbMath1260.35180OpenAlexW1994348932WikidataQ115383560 ScholiaQ115383560MaRDI QIDQ431114

Amin Esfahani, Steven Paul Levandosky

Publication date: 26 June 2012

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

Full work available at URL: https://doi.org/10.1007/s10884-012-9250-9

zbMATH Keywords

solitary wavesvariational methodsgeneralized Boussinesq equationnumerical approximationsexistence and stabilityorbital stability theory

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) General theory of rotating fluids (76U05) Internal waves for incompressible inviscid fluids (76B55) Soliton solutions (35C08)

Related Items (9)

Instability and stability properties of traveling waves for the double dispersion equation ⋮ Solitary waves of a coupled KdV system with a weak rotation ⋮ Well-posedness for the Cauchy problem associated to a periodic Boussinesq equation ⋮ Stability of solitary waves of a nonlinear beam equation ⋮ Orbital stability of solitary waves for generalized Boussinesq equation with two nonlinear terms ⋮ Global rough solutions to the sixth-order Boussinesq equation ⋮ Existence and stability of traveling waves for a class of nonlocal nonlinear equations ⋮ Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source ⋮ The limit behavior of solutions for the Cauchy problem of the sixth-order Boussinesq equation

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