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

Stability of Line Solitons for the KP-II Equation in $\mathbb {R}^2$
Author :
Publisher : American Mathematical Soc.
Total Pages : 110
Release :
ISBN-10 : 9781470414245
ISBN-13 : 1470414244
Rating : 4/5 (244 Downloads)

Book Synopsis Stability of Line Solitons for the KP-II Equation in $\mathbb {R}^2$ by : Tetsu Mizumachi

Download or read book Stability of Line Solitons for the KP-II Equation in $\mathbb {R}^2$ written by Tetsu Mizumachi and published by American Mathematical Soc.. This book was released on 2015-10-27 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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