Integrable pseudopotentials related to generalized hypergeometric functions
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2008
- arXiv:
- arXiv:0803.0086
- Bibcode:
- 2008arXiv0803.0086O
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- High Energy Physics - Theory;
- Mathematics - Analysis of PDEs;
- Mathematics - Quantum Algebra
- E-Print:
- Latex, 28 pages, new material on integrable 3-dimensional hydrodynamic type systems is added