Scattering of Solitons for Coupled Wave-Particle Equations

Details Scattering of Solitons for Coupled Wave-Particle Equations Scattering of Solitons for Coupled Wave-Particle Equations

2010-06-14

arxiv.org/abs/1006.2618v2

Physics

Mathematical Physics

31 pages

Scientific paper

We establish a long time soliton asymptotics for a nonlinear system of wave equation coupled to a charged particle. The coupled system has a six dimensional manifold of soliton solutions. We show that in the large time approximation, any solution, with an initial state close to the solitary manifold, is a sum of a soliton and a dispersive wave which is a solution to the free wave equation. It is assumed that the charge density satisfies Wiener condition which is a version of Fermi Golden Rule, and that the momenta of the charge distribution vanish up to the fourth order. The proof is based on a development of the general strategy introduced by Buslaev and Perelman: symplectic projection in Hilbert space onto the solitary manifold, modulation equations for the parameters of the projection, and decay of the transversal component.

Affiliated with

Also associated with

No associations

Rating

Scattering of Solitons for Coupled Wave-Particle Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Scattering of Solitons for Coupled Wave-Particle Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scattering of Solitons for Coupled Wave-Particle Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421858