Stability and instability of standing waves for the generalized Davey- Stewartson system
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Publication:1894164
zbMath0827.35122MaRDI QIDQ1894164
Publication date: 18 July 1995
Published in: Differential and Integral Equations (Search for Journal in Brave)
standing wavesconcentration compactness principlegeneralized Davey- Stewartson systemstability and instability properties
Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (15)
Stability of solitary waves for derivative nonlinear Schrödinger equation ⋮ On the instability of ground states for a generalized Davey-Stewartson system ⋮ On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system ⋮ Stability and instability analysis for the standing waves for a generalized Zakharov-Rubenchik system ⋮ Strong instability of standing waves for the nonlinear Schrödinger equation in trapped dipolar quantum gases ⋮ Stability of standing waves for a generalized Benney-Roskes system ⋮ Asymptotic behavior for the Davey-Stewartson system at the mass-energy threshold ⋮ Unnamed Item ⋮ IST Versus PDE: A Comparative Study ⋮ Unnamed Item ⋮ Small solitons and multisolitons in the generalized Davey-Stewartson system ⋮ Instability of standing waves for the nonlinear Schrödinger-Poisson equation in the \(L^2\)-critical case ⋮ Existence, stability and asymptotic behaviour of normalized solutions for the Davey-Stewartson system ⋮ On the standing waves for the X-ray free electron laser Schrödinger equation ⋮ A numerical approach to Blow-up issues for Davey-Stewartson II systems
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