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Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System
College of Science, University of Shanghai for Science and Technology, Shanghai, China
- 1 College of Science, University of Shanghai for Science and Technology, Shanghai, China
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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.
KeywordsWhitham-Broer-Kaup EquationLevi Parameter SystemLax PairDarboux TransformationSoliton Solutions
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