Cauchy problem for integrable discrete equations on quad-graphs

Initial value problems for the integrable discrete equations on quadgraphs are investigated. We give a geometric criterion of when such a problem is well-posed. In the basic example of the discrete KdV equation an effective integration scheme based on the matrix factorization problem is proposed and...

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Bibliographic Details

Main Authors:	V.E. Adler, Alexander Veselov
Format:	Default Preprint
Published:	2003
Subjects:	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/257
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