Multidimensional integrable boundary problems

Details Multidimensional integrable boundary problems Multidimensional integrable boundary problems

2004-01-20

arxiv.org/abs/nlin/0401028v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex file,8 pages, The talk on the XI Session on Nonlinear Dynamics of Russian Academy of Sciences, Moscow, Dec. 22-23, 2003

Scientific paper

A method of looking for boundary conditions consistent with the integrability property of multidimensional Kadomtsev-Petviashvili (KP) type equations is discussed. The method is based on involutions of the Lax pair taken at the border plane. New classes of boundary conditions for the KP and Hirota equations are proposed consistent with the Lax pair. The boundary problem on the stripe 0

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