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

Baodan Tian, Yanhong Qiu
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引用次数: 6

Abstract

In this paper, a simple direct method is presented to find equivalence transformation of a nonlinear Whitham- Broer-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.
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浅水中Whitham-Broer-Kaup方程的精确解和显式解
本文给出了求非线性Whitham- Broer-Kaup方程等价变换的一种简单的直接方法。利用这一等价变换,我们得到了Whitham-Broer-Kaup方程的对称群定理,并根据前面文献的解导出了一系列新的Whitham-Broer-Kaup方程的精确解和显式解。
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0.60
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2
期刊介绍: The “Italian Journal of Pure and Applied Mathematics” publishes original research works containing significant results in the field of pure and applied mathematics.
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