Scattering of solitons of the Klein–Gordon equation coupled to a classical particle

DOI10.1063/1.1539900zbMath1061.35070OpenAlexW2045438872MaRDI QIDQ4832937

Valeriĭ M. Imaikin, Alexander I. Komech, Peter Alexander Markowich

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1539900

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Nonlinear first-order PDEs (35F20) Soliton equations (35Q51)

Related Items

Nonlinear Scattering in the Lamb System ⋮ Attractors of Hamilton nonlinear PDEs ⋮ Scattering of solitons for the Schrödinger equation coupled to a particle ⋮ Soliton asymptotics for systems of `field-particle' type ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ On global attractors and radiation damping for nonrelativistic particle coupled to scalar field ⋮ Scattering in the nonlinear Lamb system ⋮ Global existence of classical solutions to the damped Vlasov–Klein–Gordon equations with small data ⋮ Scattering in the zero-mass Lamb system ⋮ On scattering of solitons for the Klein-Gordon equation coupled to a particle ⋮ Unnamed Item ⋮ Scattering of solitons for coupled wave-particle equations ⋮ Scattering asymptotics for a charged particle coupled to the Maxwell field

Cites Work

• Stability theory of solitary waves in the presence of symmetry. II
• Effective dynamics for a mechanical particle coupled to a wave field
• Scattering and radiation damping in gyroscopic Lorentz electrodynamics.
• Multichannel nonlinear scattering for nonintegrable equations
• Soliton-like asymptotics for a classical particle interacting with a scalar wave field
• Long—time asymptotics for the coupled maxwell—lorentz equations
• Classical theory of radiating electrons
• A Relativistic Cut-Off for Classical Electrodynamics