%0 Journal Article
%T <i>N</i>-Fold Darboux Transformation and Various Solutions for the Coupled mKdV Equations
%A Chunmei Fang
%J Journal of Applied Mathematics and Physics
%P 381-391
%@ 2327-4379
%D 2025
%I Scientific Research Publishing
%R 10.4236/jamp.2025.132018
%X In this paper, we get the <i>N</i>-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 <i>N</i>-fold Darboux transformations are expressed using the Vandermonde-like determinants.
%K The <i>N</i>-fold Darboux Transformation
%K The Coupled mKdV Equations
%K Multi-Soliton Solutions
%K Complexiton Solutions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140547