Article citationsMore>>

Wang, L., Gao, Y.T. and Gai, X.T. (2012) Gauge Transformation, Elastic and Inelastic Interactions for the Whitham-Broer-Kaup Shallow-Water Model. Communications in Nonlinear Science and Numerical Simulation, 17, 2833-2844.
http://dx.doi.org/10.1016/j.cnsns.2011.11.018

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.