Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water

Abstract

In this paper, a simple direct method is presented to find equivalence transformation of a nonlinear WhithamBroer-Kaup equations. Applying this equivalence transformation, we can obtain the symmetry group theorem of the Whitham-Broer-Kaup equations and then derive series of new exact and explicit solutions of the Whitham-Broer-Kaup equations according to solutions of the previous references.

Cite this paper

@inproceedings{Tian2016ExactAE, title={Exact and Explicit Solutions of Whitham-Broer-Kaup Equations in Shallow Water}, author={Baodan Tian and Yanhong Qiu}, year={2016} }