Embedded eigenvalues and the nonlinear Schrödinger equation

DOI10.1063/1.3567152zbMath1315.35195arXiv1101.2485OpenAlexW2094741971MaRDI QIDQ5260972

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Publication date: 30 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2485

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Constructive quantum field theory (81T08) Soliton solutions (35C08)

Related Items

Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons ⋮ On orbital instability of spectrally stable vortices of the NLS in the plane ⋮ Rigorous numerics for NLS: bound states, spectra, and controllability ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Vortex collapse for the L2-critical nonlinear Schrödinger equation

Uses Software

• Matlab
• bvp4c

Cites Work

• Unnamed Item
• Stability theory of solitary waves in the presence of symmetry. II
• Stability theory of solitary waves in the presence of symmetry. I
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Singular boundary value problems for ODEs
• On asymptotic stability of solitary waves for nonlinear Schrödinger equations
• The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
• Stable manifolds for an orbitally unstable nonlinear Schrödinger equation
• Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II
• Proof of a spectral property related to the singularity formation for the \(L^{2}\) critical nonlinear Schrödinger equation
• Spectral analysis for matrix Hamiltonian operators
• Spectra of positive and negative energies in the linearized NLS problem
• Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Lyapunov stability of ground states of nonlinear dispersive evolution equations
• Solving ODEs with MATLAB
• ON ASYMPTOTIC STABILITY OF GROUND STATES OF NLS
• Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension
• Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation

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