TITLE:
N-Fold Darboux Transformation and Various Solutions for the Coupled mKdV Equations
AUTHORS:
Chunmei Fang
KEYWORDS:
The N-fold Darboux Transformation, The Coupled mKdV Equations, Multi-Soliton Solutions, Complexiton Solutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.2,
February
13,
2025
ABSTRACT: In this paper, we get the N-fold Darboux transformation with multi-parameters for the coupled mKdV equations with the help of a guage transformation of the spectral problem. As an application, some new multi-soliton solutions and complexiton solutions are obtained from choosing the appropriate seed solution. All obtained solutions and N-fold Darboux transformations are expressed using the Vandermonde-like determinants.