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Chakravarty, S. and Kodama, Y. (2009) Soliton Solutions of the KP Equation and Application to Shallow Water Waves. Studies in Applied Mathematics, 123, 83-151.
http://dx.doi.org/10.1111/j.1467-9590.2009.00448.x

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.