Reductions of the universal hierarchy and rdDym equations and their symmetry properties

Autor:	Holba, P., Krasil'shchik, I. S., Morozov, O. I., Vojcak, P.
Rok vydání:	2017
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	We consider the equations $u_{yy} = u_y u_{xx} - (u_x + u)u_{xy} + u_x u_y$ and $u_{yy} = (u_x + x)u_{xy} - (u_{xx} + 2)u_y$ that arise as reductions of the universal hierarchy and rdDym equations, respectively, and describe the Lie algebras of nonlocal symmetries in infinite-dimensional coverings naturally associated to these equations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.07063 Zobrazit plný text záznamu View this record from Arxiv