A family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential

Details A family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential A family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential

2007-04-26

arxiv.org/abs/0704.3577v3

Mathematics

Analysis of PDEs

16 pages, latex

Scientific paper

We construct a family of integrable hydrodynamic type systems with three independent and n>1 dependent variables in terms of solutions of linear system of PDEs with rational coefficients. We choose the existence of a pseudopotential as a criterion of integrability. In the case n=2 this family is a general solution of the classification problem for such systems. We give also an elliptic analog of this family in the case n>2.

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