Multidimensional integrable boundary problems
可精确求解与可积系统
2007-05-23 v1
摘要
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<y<1 for the KP equation is discussed, its exact solutions are found. Ward's problem on discrete versions of the generalized Toda chains is briefly discussed.
引用
@article{arxiv.nlin/0401028,
title = {Multidimensional integrable boundary problems},
author = {I. T. Habibullin},
journal= {arXiv preprint arXiv:nlin/0401028},
year = {2007}
}
备注
Latex file,8 pages, The talk on the XI Session on Nonlinear Dynamics of Russian Academy of Sciences, Moscow, Dec. 22-23, 2003