English

Davey-Stewartson Equations in (3+1)-Dimensions with an Infinite Dimensional Symmetry Algebra

Exactly Solvable and Integrable Systems 2020-02-19 v1

Abstract

This article is devoted to discovering Lie symmetry algebra of a (3+1)-dimensional Davey-Stewartson system which appears in the field of plasma physics. It is found that the algebra is an infinite dimensional one and of Kac-Moody type. Making use of these symmetries, some reduced equations to lower dimensions are also presented.

Keywords

Cite

@article{arxiv.1902.09012,
  title  = {Davey-Stewartson Equations in (3+1)-Dimensions with an Infinite Dimensional Symmetry Algebra},
  author = {C. Özemir},
  journal= {arXiv preprint arXiv:1902.09012},
  year   = {2020}
}