Integrable pseudopotentials related to generalized hypergeometric functions
Exactly Solvable and Integrable Systems
2008-05-12 v3 High Energy Physics - Theory
Analysis of PDEs
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.0803.0086,
title = {Integrable pseudopotentials related to generalized hypergeometric functions},
author = {Alexander Odesskii and Vladimir Sokolov},
journal= {arXiv preprint arXiv:0803.0086},
year = {2008}
}
Comments
Latex, 28 pages, new material on integrable 3-dimensional hydrodynamic type systems is added