The Exact Solutions of the Kundu–Eckhaus Equation Using the Dbar Method
Year: 2026
Type: article
Abstract: 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.
Source: Mathematics
DOI: 10.3390/math14111794
Author: Lili Wen
Institution: Shanghai Polytechnic University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
Funder: Shanghai Polytechnic University
OpenAlex ID: W7162119166
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