Stability of large- and small-amplitude solitary waves in the generalized Korteweg-de Vries and Euler-Korteweg/Boussinesq equations

DOI10.1016/j.jde.2011.06.016zbMath1256.35119OpenAlexW2008624351MaRDI QIDQ719229

Johannes Höwing

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.06.016

zbMATH Keywords

solitary wavessolitonsorbital stabilitymoment of instability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Soliton equations (35Q51)

Related Items

Transverse nonlinear instability of Euler-Korteweg solitons, The Boussinesq systems on the background of a line solitary wave, Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids, Standing solitary Euler-Korteweg waves are unstable, Existence and stability of traveling waves for a class of nonlocal nonlinear equations, Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in \(R^N\)

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