Application of the bifurcation method to the Whitham-Broer-Kaup-Like equations

作者：Song Ming^*; Cao Jun; Guan Xiaoli

来源：Mathematical and Computer Modelling, 2012, 55(3-4): 688-696.

DOI：10.1016/j.mcm.2011.08.043

• Bifurcation method
• Whitham-Broer-Kaup-Like equations
• Exact solutions

In this paper, we investigate the Whitham-Broer-Kaup-Like equations. Some explicit expressions of solutions for the equation are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up solutions and solitary wave solutions. Some previous results are extended.

• 出版日期2012-2
• 单位玉溪师范学院