Dispersionless Davey-Stewartson system: Lie symmetry algebra, symmetry group and exact solutions

Autor:	Güngör, Faruk, Özemir, Cihangir
Rok vydání:	2021
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	Lie symmetry algebra of the dispersionless Davey-Stewartson (dDS) system is shown to be infinite-dimensional. The structure of the algebra turns out to be Kac-Moody-Virasoro one, which is typical for integrable evolution equations in $2+1$-dimensions. Symmetry group transformations are constructed using a direct (global) approach. They are split into both connected and discrete ones. Several exact solutions are obtained as an application of the symmetry properties. Comment: Substantial changes done, restructured version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.10664 Zobrazit plný text záznamu View this record from Arxiv