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Huang, D.J. and Zhang, H.Q. (2008) Vandermonde-Like Determinants’ Representations of Darboux Transformations and Expliclt Solutions for the Modified Kadomtsev-Petviashvili Equation. Physica A, 387, 4565-4580.

has been cited by the following article:

• TITLE: Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System

  AUTHORS: Tiantian Xu

  KEYWORDS: Whitham-Broer-Kaup Equation, Levi Parameter System, Lax Pair, Darboux Transformation, Soliton Solutions

  JOURNAL NAME: Applied Mathematics, Vol.6 No.1, January 7, 2015

  ABSTRACT: Through a variable transformation, the Whitham-Broer-Kaup system is transformed into a parameter Levi system. Based on the Lax pair of the parameter Levi system, the N-fold Darboux transformation with multi-parameters is constructed. Then some new explicit solutions for the Whitham-Broer-Kaup system are obtained via the given Darboux transformation.