Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52956#.VK3oWMnQrzE Author(s) Tiantian Xu Affiliation(s) College of Science, University of Shanghai for Science and Technology, Shanghai, China . 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. KEYWORDS Whitham-Broer-Kaup Equation , Levi Parameter System , Lax Pair , Darboux Transformation , Soliton Solutions Cite this paper Xu, T. (2015) Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System. Applied Mathematics , 6 , 20-27. doi: 10.4236/am.2015.61003 . References [ 1 ] Zabusky, N....
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