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

By: Tetsu Mizumachi (Author)

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Ksh 19,150.00

Format: Paperback or Softback

ISBN-13: 9781470414245

Publisher: American Mathematical Society

Publication Date: Dec 30th, 2015

Category: Differential calculus & equations

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The author proves nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as y??. 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=+/-?.

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