The KdV Hierarchy: Universality and a Painlevé Transcendent
نویسندگان
چکیده
منابع مشابه
Painlevé test and the first Painlevé hierarchy
Starting from the first Painlevé equation, Painlevé type equations of higher order are obtained by using the singular point analysis.
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1 Abstract A new integrable nonautonomous nonlinear ordinary difference equation is presented which can be considered to be a discrete analogue of the Painlevé V equation. Its derivation is based on the similarity reduction on the two-dimensional lattice of integrable partial difference equations of KdV type. The new equation which is referred to as GDP (generalised discrete Painlevé equation) ...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2011
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rnr220