Stability of Line Solitons for the KP II Equation in mathbb R 2 is popular PDF and ePub book, written by Tetsu Mizumachi in 2015-10-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Stability of Line Solitons for the KP II Equation in mathbb R 2 can be Read Online from any device for your convenience.
Stability of Line Solitons for the KP II Equation in mathbb R 2 Book PDF Summary
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.
Detail Book of Stability of Line Solitons for the KP II Equation in mathbb R 2 PDF
- Author : Tetsu Mizumachi
- Release : 27 October 2015
- Publisher : American Mathematical Soc.
- ISBN : 9781470414245
- Genre : Mathematics
- Total Page : 110 pages
- Language : English
- PDF File Size : 9,5 Mb
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