TY - JOUR
TI - New multi-soliton solutions of Whitham-Broer-Kaup shallow-water-wave equations
AU - Zhang Sheng
AU - Liu Mingying
AU - Xu Bo
JN - Thermal Science
PY - 2017
VL - 21
IS - 11
SP - 137
EP - 144
PT - Article
AB - In this paper, new and more general Whitham-Broer-Kaup equations which can  describe the propagation of shallow-water waves are exactly solved in the  framework of Hirota's bilinear method and new multi-soliton solutions are  obtained. To be specific, the Whitham-Broer-Kaup equations are first reduced  into Ablowitz- Kaup-Newell-Segur equations. With the help of this equations,  bilinear forms of the Whitham-Broer-Kaup equations are then derived. Based on  the derived bilinear forms, new one-soliton solutions, two-soliton solutions,  three-soliton solutions, and the uniform formulae of n-soliton solutions are  finally obtained. It is shown that adopting the bilinear forms without loss  of generality play a key role in obtaining these new multi-soliton solutions.