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Rogers, C. and Schief, W.K. (2002) B?cklund and Darboux Transformations Geometry and Modern Application in Soliton Theory. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9780511606359

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.