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• W2068307592 abstract "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." @default.
• W2068307592 created "2016-06-24" @default.
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• W2068307592 date "2012-05-01" @default.
• W2068307592 modified "2023-10-13" @default.
• W2068307592 title "Scattering of solitons for coupled wave-particle equations" @default.
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• W2068307592 doi "https://doi.org/10.1016/j.jmaa.2011.12.016" @default.
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