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Calogero, F. (1991) Springer Series in Nonlinear Dynamics. Zakharov, V.E., Ed., Springer, Berlin, 1-62.

has been cited by the following article:

• TITLE: Simplified Homogeneous Balance Method and Its Applications to the Whitham-Broer-Kaup Model Equations

  AUTHORS: Mingliang Wang, Xiangzheng Li

  KEYWORDS: WBK Model Equations, Simplified Homogeneous Balance Method, Nonlinear Transformation, Multiple Soliton Solutions, Periodic Solutions in Space Variable, Rational Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.8, July 21, 2014

  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.