The Exact Solutions of the Kundu–Eckhaus Equation Using the Dbar Method

In this paper, we investigate high-order soliton solutions of the Kundu–Eckhaus equation using the Dbar method. As a key technique in the field of integrable systems, the Dbar method occupies an important position in the study of exact solutions due to its unique advantages. Exact solutions for first-order to fifth-order solitons are presented under the zero-background condition. The nonlinear dynamics of the solitons are also discussed, including their interaction behaviors. The results are also depicted graphically in both 3D and 2D for different values of associated parameters.