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Stability of line solitons for the KP-II equation in R2
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 lo...
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| Lenguaje: | eng |
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American Mathematical Society
2015
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| Acceso en línea: | http://cds.cern.ch/record/2264084 |