Integrable pseudopotentials related to generalized hypergeometric functions

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Latex, 28 pages, new material on integrable 3-dimensional hydrodynamic type systems is added

Scientific paper

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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