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

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Gungor F., Özemir C.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.136, no.7, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 136 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.1140/epjp/s13360-021-01688-2
  • Title of Journal : EUROPEAN PHYSICAL JOURNAL PLUS

Abstract

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.