The nonlocal residual symmetry related to truncated Painlevé expansion of third-order Burgers equation is performed. Then, the potential symmetries of the equation are derived; on the basis of nonlocal symmetries, we linearize the nonlinear third-order6 Burgers equation to a linear third-order...
solitons, dimensional analysis, Burgers' equation, linear systems
Abstract
This paper focuses on a new coupled (2+1)-dimensional Burgers equations. The shock wave solution is obtained by the aid of Ansatz method. There are several constraint conditions which guarantee the existence of the derived solutions. Subsequently, the simplified Hirota bilinear method,...
