Article citationsMore>>

Lei, W., Yi-Tian, G., Xiao-Ling, G., De-Xin, M., Xing, L. and Xin, Y. (2010) N-Fold Darboux Transformation and Bidirectional Solitons for Whitham-Broer-Kaup Model in Shallow Water. Communications in Theoretical Physics, 53, 413-422.
https://doi.org/10.1088/0253-6102/53/3/03

has been cited by the following article:

• 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.