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

## TL;DR

This paper investigates the Lie symmetry algebra of a (3+1)-dimensional Davey-Stewartson system, revealing an infinite-dimensional Kac-Moody type algebra, and derives reduced lower-dimensional equations using these symmetries.

## Contribution

It identifies the infinite-dimensional Lie symmetry algebra of the (3+1)-D Davey-Stewartson system and derives reduced equations based on these symmetries.

## Key findings

- The symmetry algebra is infinite dimensional and of Kac-Moody type.
- Reduced lower-dimensional equations are obtained from the symmetries.
- The symmetry analysis aids in understanding the system's integrability and solution structure.

## 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.