Integrable elliptic pseudopotentials |
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Authors: | A V Odesskii V V Sokolov |
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Institution: | 1.Landau Institute for Theoretical Physics,RAS,Chernogolovka, Moscow Oblast,Russia;2.Brock University,St. Catharines,Canada |
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Abstract: | 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. |
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