Author(s)

Tiantian Xu

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

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.

Whitham-Broer-Kaup Equation, Levi Parameter System, Lax Pair, Darboux Transformation, Soliton Solutions

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.