TITLE:
Potential Symmetries, One-Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations
AUTHORS:
Yuexing Bai, Sudao Bilige, Temuer Chaolu
KEYWORDS:
Potential Symmetry, One-Dimensional Optimal System, Invariant Solution, Coupled Burgers’ Equations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.9,
September
11,
2018
ABSTRACT: In this paper, we discuss one-dimensional optimal
system and the invariant solutions of Coupled Burgers’ equations. By using Wu-differential
characteristic set algorithm with the aid of Mathematica software, the
classical symmetries of the Coupled Burgers’ equations are calculated, and the
one-dimensional optimal system of Lie algebra is constructed. And we obtain the
invariant solution of the Coupled Burgers’ equations corresponding to one
element in one dimensional optimal system by using the invariant method. The
results generalize the exact solutions of the Coupled Burgers’ equations.