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Spectral stability of resonant Y-solitons for the KP-II equation

Mizumachi, Tetsu
arXiv (All) · Papers
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35q3537k40analysis-of-pdesprimarysecondary
The KP-II equation was introduced by Kadomtsev and Petviashvili to explain the transverse stability of line solitary waves in shallow water. Using Darboux transformations, we prove the spectral stability of Y-shaped line solitons in an exponentially weighted space that captures the amount of waves r
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