Journal of Applied Mathematics and Physics
Volume 2, Issue 8 (July 2014)
ISSN Print: 2327-4352 ISSN Online: 2327-4379
Google-based Impact Factor: 0.70 Citations
Simplified Homogeneous Balance Method and Its Applications to the Whitham-Broer-Kaup Model Equations ()
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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.
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