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Integrable pseudopotentials related to elliptic curves

Authors :
Odesskii, Alexander
Sokolov, Vladimir
Publication Year :
2008

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.<br />Comment: 19 pages, latex

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0810.3879
Document Type :
Working Paper