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arxiv: 0803.0086 · v3 · submitted 2008-03-01 · 🌊 nlin.SI · hep-th· math.AP· math.QA

Integrable pseudopotentials related to generalized hypergeometric functions

classification 🌊 nlin.SI hep-thmath.APmath.QA
keywords integrablepseudopotentialsdimensionalfunctionsgeneralizedhydrodynamichypergeometricsystems
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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.

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