Darboux Transformation and Soliton Solutions of A Nonlinear Coupled Differential-Difference Equation

摘要

In this paper,a coupled nonlinear differentialdifference equation is investigated by the Lax theory and Darboux transformation (DT) technique. The new Lax pair of that system is constructed. Based on the resulting Lax pair,a new DT with two variable parameters is constructed and established. Explicit one-soliton solutions are derived via the DT. Structure figures of the one-soliton solutions are shown graphically.