Simplified Homogeneous Balance Method and Its Applications to the Whitham-Broer-Kaup Model EquationsReport as inadecuate




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A nonlineartransformation of the Whitham-Broer-Kaup WBK model equations in the shallowwater small-amplitude regime is derived by using a simplified homogeneousbalance method. The WBK model equations are linearized under the nonlineartransformation. Various exact solutions of the WBK model equations are obtainedvia the nonlinear transformation with the aid of solutions for the linear equation. 

KEYWORDS

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

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.





Author: Mingliang Wang, Xiangzheng Li

Source: http://www.scirp.org/



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