Instability of travelling waves for weakly coupled KdV systems

DOI10.1016/j.na.2007.07.039zbMath1152.35097OpenAlexW2083504659MaRDI QIDQ938752

Orlando Lopes, Jaime Angulo Pava, Aloisio Freiria Neves

Publication date: 27 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.039

zbMATH Keywords

coupled KdV systemsinstability of travelling waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (11)

Orbital stability of periodic waves in the class of reduced Ostrovsky equations ⋮ On the orbital instability of excited states for the NLS equation with the \(\delta\)-interaction on a star graph ⋮ On stability properties of the cubic-quintic Schrödinger equation with \(\delta\)-point interaction ⋮ Orbital instability of periodic waves for scalar viscous balance laws ⋮ Instability of static solutions of the sine-Gordon equation on a \(\mathcal{Y}\)-junction graph with \(\delta\)-interaction ⋮ Orbital stability and dynamical behaviors of solitary waves for the Camassa-Holm equation with quartic nonlinearity ⋮ Linear instability criterion for the Korteweg–de Vries equation on metric star graphs ⋮ Instability theory of kink and anti-kink profiles for the sine-Gordon equation on Josephson tricrystal boundaries ⋮ Nonlinear dispersive equations: classical and new frameworks ⋮ Unstable kink and anti-kink profile for the sine-Gordon equation on a \({\mathcal{Y}} \)-junction graph ⋮ Stability properties of standing waves for NLS equations with the \(\delta^\prime\)-interaction

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