Stability of Line Solitons for the KP-II Equation in R 2

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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Bibliographic Details

Online Access:	Full Text (via ProQuest)
Main Author:	Mizumachi, Tetsu
Format:	eBook
Language:	English
Published:	Providence : American Mathematical Society, 2015.
Series:	Memoirs of the American Mathematical Society.
Subjects:	Solitons. Wave-motion, Theory of. Symmetry (Mathematics) Representations of algebras. Representations of algebras Solitons Wave-motion, Theory of