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- W3100263669 abstract "We establish the long time soliton asymptotics for the translation invariant nonlinear system consisting of the Klein-Gordon equation coupled to a charged relativistic particle. The coupled system has a six dimensional invariant manifold of the soliton solutions. We show that in the large time approximation any finite energy solution, with the initial state close to the solitary manifold, is a sum of a soliton and a dispersive wave which is a solution of the free Klein-Gordon equation. It is assumed that the charge density satisfies the Wiener condition which is a version of the ``Fermi Golden Rule''. The proof is based on an extension of the general strategy introduced by Soffer and Weinstein, Buslaev and Perelman, and others: symplectic projection in Hilbert space onto the solitary manifold, modulation equations for the parameters of the projection, and decay of the transversal component." @default.
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- W3100263669 date "2006-10-05" @default.
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- W3100263669 title "On Scattering of Solitons for the Klein–Gordon Equation Coupled to a Particle" @default.
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- W3100263669 doi "https://doi.org/10.1007/s00220-006-0088-z" @default.
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