Integrable pseudopotentials related to elliptic curves

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We construct integrable pseudopotentials with an arbitrary number of fields in terms of elliptic generalization of hypergeometric functions in several variables. These pseudopotentials yield some integrable (2+1)-dimensional hydrodynamic type systems. An interesting class of integrable (1+1)-dimensional hydrodynamic type systems is also generated by our pseudopotentials.
19 pages, latex

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Algebraic Geometry, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/172103

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.3879
 http://arxiv.org/abs/0810.3879

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arXiv