Potential Symmetries, One-Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations
2018
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.
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