Multiple-soliton and periodic solutions to space–time fractional Whitham–Broer–Kaup equations

In this paper, the space–time fractional Whitham–Broer–Kaup equations are investigated. By means of new scaling transformations, nonlinear system different time and space orders is transformed to integer one. The multiple solitary solutions periodic obtained, respectively. All those given exactly by introducing which makes our study unique from most existing studies. It expected that exact for wave order can be handled in similar way.