Integrable pseudopotentials related to elliptic curves

Details Integrable pseudopotentials related to elliptic curves Integrable pseudopotentials related to elliptic curves

2008-10-21

arxiv.org/abs/0810.3879v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, latex

Scientific paper

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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