Stability of Line Solitons for the KP-II Equation in $\mathbb {R}^2$ PDF Download

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Stability of Line Solitons for the KP-II Equation in $\mathbb {R}^2$

Stability of Line Solitons for the KP-II Equation in $\mathbb {R}^2$ PDF Author: Tetsu Mizumachi
Publisher: American Mathematical Soc.
ISBN: 1470414244
Category : Mathematics
Languages : en
Pages : 110

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Book Description
The author proves nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as . He finds that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the local phase shift of the crest propagate in a finite speed toward . The local amplitude and the phase shift of the crest of the line solitons are described by a system of 1D wave equations with diffraction terms.