Instability of travelling waves for weakly coupled KdV systems
From MaRDI portal
Publication:938752
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Stability theory for solitary-wave solutions of scalar field equations
- Stability theory of solitary waves in the presence of symmetry. II
- A model system for strong interaction between internal solitary waves
- A linearized instability result for solitary waves
- Solitary waves in nonlinear dispersive systems
- Solitary waves of a coupled Korteweg-de Vries system
- Stability and instability of standing waves for one dimensional nonlinear Schrödinger equations with double power nonlinearity
- Weak and Strong Interactions between Internal Solitary Waves
- Instabilities of Multihump Vector Solitons in Coupled Nonlinear Schrödinger Equations
- Stability and instability of solitary waves of Korteweg-de Vries type
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Analyticity of Solutions of the Generalized Korteweg–de Vries Equation with Respect to Their Initial Values
- Inertia law for spectral stability of solitary waves in coupled nonlinear Schrödinger equations
This page was built for publication: Instability of travelling waves for weakly coupled KdV systems
