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arXiv · 0803.0086

Integrable pseudopotentials related to generalized hypergeometric functions

Alexander Odesskii·Vladimir Sokolov
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Abstract

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.

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Alexander Odesskii, Vladimir Sokolov. 2008-05-12. Integrable pseudopotentials related to generalized hypergeometric functions. https://arxiv.org/abs/0803.0086

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