Systems of Gibbons-Tsarev type and integrable 3-dimensional models
Abstract
We review the role of Gibbons-Tsarev-type systems in classification of integrable multi-dimensional hydrodynamic-type systems. Our main observation is an universality of Gibbons-Tsarev-type systems. We also constract explicitly a wide class of 3-dimensional hydrodynamic-type systems corresponding to the simplest possible Gibbons-Tsarev-type system.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2009
- DOI:
- 10.48550/arXiv.0906.3509
- arXiv:
- arXiv:0906.3509
- Bibcode:
- 2009arXiv0906.3509O
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Analysis of PDEs
- E-Print:
- 18 pages, latex