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

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

£72.50
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Synopsis

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.

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equationsScience & MathematicsPhysicsClassical mechanicsWave mechanics incl vibration & acoustics Publisher: American Mathematical Society Publication Date: 30/10/2015 ISBN-13: 9781470414245  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 1-3 weeks.  

Tetsu Mizumachi, Kyushu University, Fukuoka, Japan.

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