Article citationsMore>>

Raslan, K.R. (2004) The Decomposition Method for a Hirota-Satsuma Coupled KdV Equation and a Coupled MKdV Equation. International Journal of Computer Mathematics, 81, 1497-1505.
https://doi.org/10.1080/0020716042000261405

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.