Lie Symmetry, Full Symmetry Group and Exact Solutions to the (2+1)-Dimensional Dissipative AKNS Equation

摘要

In this paper, a detailed Lie symmetry analysis of the (2+1)-dimensional dissipative AKNS equation is performed. The general finite transformation group is given via a simple direct method, which is in fact equivalent to Lie point symmetry group. The similarity reductions are considered from the general Lie symmetry and some exact solutions of the (2+1)-dimensional dissipative AKNS equation are obtained.