Long-time asymptotics are established for finite energy solutions of the scalar Klein-Gordon equation coupled to a relativistic classical particle: any "scattering" solution is asymptotically a sum of a soliton and of a dispersive free wave packet as t → ±∞. These asymptotics mean the nonlinear scattering of free wave packets by the soliton.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics