Integrable initial boundary value problems

Details Integrable initial boundary value problems Integrable initial boundary value problems

2002-07-07

arxiv.org/abs/nlin/0207013v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex file, The talk on the International Conference: Nonlinear Physics: Theory and Experiment, II Gallipoli, Lecce, (Italy) J

Scientific paper

A method If looking for boundary conditions consistent with the integrability property of multi-dimensional Kadomtsev-Petviashvili (KP) type equations is discussed. The method is based on involutions of the Lax pair taken at the border plane, given by the equation y=0. New classes of boundary conditions for the KP equation are proposed consistent with the Lax pair, conserved quantities and symmetries.

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