Exact Solutions for the N=2 Supersymmetric KdV Equation with the Bosonization Approach

摘要

The bosonization approach is applied to the N = 2 supersymmetric KdV (SKdV) equation with a goal of building a system of coupled bosonic equations. It avoids the difficulties caused by intractable anticommuting fermionic fields. By solving the coupled bosonic equations, the exact solutions for the N = 2 SKdV equation are demonstrated with the mapping and deformation method and the Lie point symmetry theory.