Discrete dressing transformations and Painlevé equations

Autor:	Vassilios G. Papageorgiou, B. Grammaticos, Alfred Ramani
Rok vydání:	1997
Předmět:	Physics Transformation (function) Linear problem General Physics and Astronomy Applied mathematics Point (geometry) Eigenvalues and eigenvectors
Zdroj:	Physics Letters A. 235:475-479
ISSN:	0375-9601
DOI:	10.1016/s0375-9601(97)00640-3
Popis:	We propose a discrete analog of the dressing transformation. Our starting point is a variant of the quotient-difference algorithm which, in this case, corresponds to a linear problem with shifts in the eigenvalues. The proper periodicity conditions lead to one-dimensional systems which are discrete Painleve equations. We obtain thus the alternate d-PII equation and a novel form for the discrete PIV equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::27a4ad3815f0b91c8fb18c6a1cf4a73e https://doi.org/10.1016/s0375-9601(97)00640-3 Zobrazit plný text záznamu Full Text from ScienceDirect