Discrete equations and the singular manifold method

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The Painleve expansion for the second Painleve equation (PII) and fourth Painleve equation (PIV) have two branches. The singular manifold method therefore requires two singular manifolds. The double singular manifold method is used to derive Miura transformations from PII and PIV to modified Painleve type equations for which auto-Backlund transformations are obtained. These auto-Backlund transformations can be used to obtain discrete equations.
to appear in SIDE III proceedings

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/94508

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9904002
 http://arxiv.org/abs/solv-int/9904002

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arXiv