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.