浅水中Whitham-Broer-Kaup方程的精确解和显式解

IF 0.2 Q4 MATHEMATICS

Italian Journal of Pure and Applied Mathematics Pub Date : 2016-10-17 DOI:10.11648/J.PAMJ.20160506.11

Baodan Tian, Yanhong Qiu

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引用次数: 6

摘要

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Italian Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

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.