Komech A., Spohn H.
Soliton-Like Asymptotics for a Classical Particle
Interacting with a Scalar Wave Field
(33K, Latex)
ABSTRACT. We consider a scalar wave field translation invariantly coupled
to a single particle. This Hamiltonian system admits soliton-like
solutions, where the particle and comoving field travel with
constant velocity. We prove that a solution of finite energy
converges, in suitable local energy seminorms, to some soliton-like
solutions in the long time limit $t\to\pm\infty$.