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Paper   IPM / M / 14970
School of Mathematics
  Title:   Stability of solitary waves of the Kadomtsev-Petviashvili equation with a weak rotation
  Author(s):  Amin Esfahani (Joint with S. levandosky)
  Status:   To Appear
  Journal: Siam J. Math. Anal.
  Supported by:  IPM
We consider the stability of solitary wave solutions of the Rotation-Generalized Kadomtsev-Petviashvili (RGKP) equation. Using an iteration method developed by Petviashvili, we numerically compute the solitary waves over a range of the parameters c and γ, and use these to determine the concavity of the function d(c) that determines their stability. In spite of the absence of any scaling invariance property for the RGKP equation, we prove the strong instability of the solitary waves.

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