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• W937687007 abstract "We prove a full asymptotic stability result for solitary wave solutions of the mKdV equation. We consider small perturbations of solitary waves with polynomial decay at infinity and prove that solutions of the Cauchy problem evolving from such data tend uniformly, on the real line, to another solitary wave as time goes to infinity. We describe precisely the asymptotics of the perturbation behind the solitary wave showing that it satisfies a nonlinearly modified scattering behavior. This latter part of our result relies on a precise study of the asymptotic behavior of small solutions of the mKdV equation." @default.
• W937687007 created "2016-06-24" @default.
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• W937687007 date "2015-03-31" @default.
• W937687007 modified "2023-09-26" @default.
• W937687007 title "Asymptotic stability of solitons for mKdV" @default.
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