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Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. (English) Zbl 0889.35090

Summary: We prove that the solitary waves of the generalized Kadomtsev-Petviashvili equations, when they exist, are cylindrical with respect to the transverse variables and decay with an optimal algebraic rate.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35B40 Asymptotic behavior of solutions to PDEs
35Q51 Soliton equations
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