# Stability Of Line Solitons For The Kp-Ii Equation In R2 (Memoirs Of The American Mathematical Society) PDF

### 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 $x\to\infty$. He finds that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the local phase shift of the crest propagate in a finite speed toward $y=\pm\infty$. 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.

### Book Details:

#### Stability Of Line Solitons For The Kp-Ii Equation In R2 (Memoirs Of The American Mathematical Society) PDF

Author Tetsu Mizumachi
Isbn 1470414244
File size 920.2 KB
Year 2015
Pages 95
Language English
File format PDF
Category Physics