Integrable pseudopotentials related to elliptic curves
classification
🌊 nlin.SI
hep-thmath.AGmath.AP
keywords
integrablepseudopotentialsdimensionalelliptichydrodynamicsystemstypearbitrary
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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.
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