Linearly degenerate hierarchies of quasiclassical SDYM type

Autor:	Bogdanov, L. V., Pavlov, M. V.
Rok vydání:	2016
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
DOI:	10.1063/1.5004258
Popis:	We demonstrate that SDYM equations for the Lie algebra of one-dimensional vector fields represent a natural reduction in the framework of general linearly degenerate dispersionless hierarchy. We define the reduction in terms of wave functions, introduce generating relation, Lax-Sato equations and the dressing scheme for the reduced hierarchy. Multidimensional case is also discussed. Comment: 21 pages; reference [10] and a comment after equation (7) added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.00238 Zobrazit plný text záznamu View this record from Arxiv