Orbital instability of standing waves for the quadratic-cubic Klein-Gordon-Schrödinger system
From MaRDI portal
Publication:493541
DOI10.1007/s00033-014-0467-9zbMath1327.76038OpenAlexW2008138730MaRDI QIDQ493541
Ademir Pastor Ferreira, Fábio M. Amorin Natali
Publication date: 3 September 2015
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-014-0467-9
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)
Related Items (5)
Cnoidal waves for the quintic Klein-Gordon and Schrödinger equations: existence and orbital instability ⋮ Multi-speed solitary waves for the Klein-Gordon-Schrödinger system with cubic interaction ⋮ On the Stability of the Periodic Waves for the Benney System ⋮ Orbital instability of standing waves for the Klein-Gordon-Schrödinger system with quadratic-cubic nonlinearity ⋮ On three-wave interaction Schrödinger systems with quadratic nonlinearities: global well-posedness and standing waves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Orbital stability of semitrivial standing waves for the Klein-Gordon-Schrödinger system
- Orbital stability of periodic waves for the Klein-Gordon-Schrödinger system
- Stability of standing waves for the Klein-Gordon-Schrödinger system
- Stability of small periodic waves for the nonlinear Schrödinger equation
- Nonlinear stability of periodic traveling wave solutions to the Schrödinger and the modified Korteweg-de Vries equations
- Stability theory of solitary waves in the presence of symmetry. II
- Stability and instability of periodic standing wave solutions for some Klein-Gordon equations
- Stability properties of periodic standing waves for the Klein-Gordon-Schrödinger system
- Instability of standing waves for the Klein-Gordon-Schrödinger system
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Geometric theory of semilinear parabolic equations
- Stability Analysis of Multipulses in Nonlinearly-Coupled Schrodinger Equations
- Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system
- Stability of periodic optical solitons for a nonlinear Schrödinger system
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- On the stability theory of solitary waves
- Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations
- The general Klein–Gordon–Schrödinger system: modulational instability and exact solutions
This page was built for publication: Orbital instability of standing waves for the quadratic-cubic Klein-Gordon-Schrödinger system
