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Stability of line solitons for the KP-II equation in R2

The author proves nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as x\to\infty. He finds that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the lo...

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Detalles Bibliográficos
Autor principal: Mizumachi, Tetsu
Lenguaje:eng
Publicado: American Mathematical Society 2015
Materias:
Acceso en línea:http://cds.cern.ch/record/2264084