Lie Symmetries and Exact Solutions for a Nonlinear Evolution Equation in the AKNS Hierarchy
Dong Li *
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, PR China.
Shengqiang Tang
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, PR China.
*Author to whom correspondence should be addressed.
Abstract
A nonlinear evolution equation in the AKNS hierarchy is presented. The symmetries for this equation are given. The exact traveling wave solutions are obtained by using the tanh-expand and sine-cosine methods.
Keywords: Nonlinear evolution equation, AKNS hierarchy, Symmetries, Exact traveling wave solutions.