Scattering of solitons for Dirac equation coupled to a particle

DOI10.1016/j.jmaa.2011.05.037zbMath1229.35228arXiv1012.3109OpenAlexW2964233114MaRDI QIDQ2275492

Herbert Spohn, Elena A. Kopylova, Alexander I. Komech

Publication date: 9 August 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3109

zbMATH Keywords

solitonDirac equationlong-time asymptoticsmodulation equationsymplectic projectionsolitary manifold

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Soliton equations (35Q51) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Soliton solutions (35C08)

Related Items

Inverse scattering on the half-line for ZS-AKNS systems with integrable potentials ⋮ Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle ⋮ Attractors of Hamilton nonlinear PDEs ⋮ Soliton asymptotics for systems of `field-particle' type ⋮ Asymptotic stability of solitons for nonlinear hyperbolic equations ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition ⋮ On eigenfunction expansion of solutions to the Hamilton equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Soliton-type asymptotics for the coupled Maxwell-Lorentz equations
• Scattering of solitons for the Schrödinger equation coupled to a particle
• On scattering of solitons for the Klein-Gordon equation coupled to a particle
• Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
• Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions
• On asymptotic stability of solitary waves for nonlinear Schrödinger equations
• Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
• Soliton-like asymptotics for a classical particle interacting with a scalar wave field
• Stabilization of solutions to nonlinear Schrödinger equations
• SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS