Master symmetries of non-linear systems

Abstract

We explore new symmetries in two-component third-order Burgers’ type systems in (1+1)-dimension using Wang’s O -scheme. We also find a master symmetry for a (2+1)-dimensional Davey-Stewartson type system. These results shed light on the behavior of these equations and help us understand their integrability properties. Our approach offers a practical method for identifying symmetries, contributing to the study of integrable systems in mathematics and physics.

Keywords Homogeneous Integrable Nonlinear Equation, Integrability, Master Symmetry, Symmetry