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 $t\to\pm\infty$.