Multi-variable reductions of the dispersionless DKP hierarchy

Autor:	Akhmedova, V., Takebe, T., Zabrodin, A.
Rok vydání:	2017
Předmět:	Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/aa9457
Popis:	We consider multi-variable reductions of the dispersionless DKP hierarchy (the dispersionless limit of the Pfaff lattice) in the elliptic parametrization. The reduction is given by a system of elliptic L\"owner equations supplemented by a system of partial differential equations of hydrodynamic type. The compatibility conditions for the elliptic L\"owner equations are derived. They are elliptic analogues of the Gibbons-Tsarev equations. We prove solvability of the hydrodynamic type system by means of the generalized hodograph method. The associated diagonal metric is proved to be of the Egorov type. Comment: 24 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.01528 Zobrazit plný text záznamu View this record from Arxiv