Integrable elliptic pseudopotentials
| Autor: | Vladimir Sokolov, Alexander Odesskii |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Basic hypergeometric series
Class (set theory) Integrable system Generalization Mathematical analysis Statistical and Nonlinear Physics Hypergeometric function Type (model theory) Generalized hypergeometric function Kadomtsev–Petviashvili equation Mathematical Physics Mathematics Mathematical physics |
| Zdroj: | Theoretical and Mathematical Physics. 161:1340-1352 |
| ISSN: | 1573-9333 0040-5779 |
| DOI: | 10.1007/s11232-009-0120-5 |
| Popis: | We construct integrable pseudopotentials with an arbitrary number of fields in terms of an elliptic generalization of hypergeometric functions in several variables. These pseudopotentials are multiparameter deformations of ones constructed by Krichever in studying the Whitham-averaged solutions of the KP equation and yield new integrable (2+1)-dimensional systems of hydrodynamic type. Moreover, an interesting class of integrable (1+1)-dimensional systems described in terms of solutions of an elliptic generalization of the Gibbons-Tsarev system is related to these pseudopotentials. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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