Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation

Darboux transformation is an efficient method for solving different nonlinear partial differential equations. In this paper, on the basis of a Lie super-algebras, a generalized super-NLS-mKdV equation is solved by the Darboux transformation. The analytic solutions are presented with the help of symbolic computation. Besides, two special cases are given to make the solution intuitive. Dynamic properties of solitons are also discussed.