Integrable pseudopotentials related to generalized hypergeometric functions

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We construct integrable pseudopotentials with an arbitrary number of fields in terms of generalized hypergeometric functions. 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.
Latex, 28 pages, new material on integrable 3-dimensional hydrodynamic type systems is added

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Analysis of PDEs, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/160635

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0086
 http://arxiv.org/abs/0803.0086

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arXiv