Tau-functions and special solutions in a coupled Painlevé system

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For a pair of coupled Painlevé equations obtained as a similarity reduction of the Hirota-Satsuma systems we describe special parameter-families of solutions given in terms of mixtures of rational and Airy functions, and in terms of a second Painlevé transcendent. The tau-functions associated to some of these solutions are also given explicitly.
Poster from NEEDS 2001, Cambridge

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80315

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0209030
 http://arxiv.org/abs/nlin/0209030

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arXiv