Simplified Homogeneous Balance Method and Its Applications to the Whitham-Broer-Kaup Model Equations
Abstract: A nonlinear transformation of the Whitham-Broer-Kaup (WBK) model equations in the shallow water small-amplitude regime is derived by using a simplified homogeneous balance method. The WBK model equations are linearized under the nonlinear transformation. Various exact solutions of the WBK model equations are obtained via the nonlinear transformation with the aid of solutions for the linear equation.
Cite this paper: Wang, M. and Li, X. (2014) Simplified Homogeneous Balance Method and Its Applications to the Whitham-Broer-Kaup Model Equations. Journal of Applied Mathematics and Physics, 2, 823-827. doi: 10.4236/jamp.2014.28091.
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