Linearisable systems and the Gambier approach

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A systematic study of the discrete second order projective system is presented, complemented by the integrability analysis of the associated multilinear mapping. Moreover, we show how we can obtain third order integrable equations as the coupling of a Riccati equation with second order Painlevé equations. This is done in both continuous and discrete cases.
8 pages, no figure

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/79985

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0104018
 http://arxiv.org/abs/nlin/0104018
 SIDE III - Symmetry and Integrability of Difference Equations (Decio Levi and Orlando Ragnisco, eds.) (Conference held in Italy, 1998), CRM Proc. Lectures Notes, vol.25, Amer. Math. Soc., Providence, RI (2000), 255-261

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arXiv