Asymptotic stability of standing waves for the coupled nonlinear Schrödinger system

DOI10.1186/s13661-014-0266-4zbMath1315.35205OpenAlexW2147563719WikidataQ59436241 ScholiaQ59436241MaRDI QIDQ2263538

Quanbao Sun, Ming Cheng, Xin Zhao, Yang Liao

Publication date: 18 March 2015

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0266-4

zbMATH Keywords

asymptotic stabilitySchrödinger equationcenter manifold

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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• Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients
• Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations
• Coupled Gross-Pitaevskii equations with a square-well and a Coulomb potential
• On the asymptotic stability of bound states in 2D cubic Schrödinger equation
• Some Nonlinear Multiphase Interactions
• Multiple Permanent‐wave Trains in Nonlinear Systems
• Standing waves of some coupled nonlinear Schrödinger equations

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