Stability of solitary waves for derivative nonlinear Schrödinger equation
Mathieu Colin, Masahito Ohta (2006)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Multi solitary waves for nonlinear Schrödinger equations”
Stability of solitary waves for derivative nonlinear Schrödinger equation
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In a series of recent papers, Martel and Merle solved the long-standing open problem on the existence of blow up solutions in the energy space for the critical generalized Korteweg- de Vries equation. Martel and Merle introduced new tools to study the nonlinear dynamics close to a solitary wave solution. The aim of the talk is to discuss the main ideas developed by Martel-Merle, together with a presentation of previously known closely related results.
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