Integrable pseudopotentials related to elliptic curves
Exactly Solvable and Integrable Systems
2008-10-22 v1 High Energy Physics - Theory
Algebraic Geometry
Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.0810.3879,
title = {Integrable pseudopotentials related to elliptic curves},
author = {Alexander Odesskii and Vladimir Sokolov},
journal= {arXiv preprint arXiv:0810.3879},
year = {2008}
}
Comments
19 pages, latex