On optimal system, exact solutions and conservation laws of the Broer-Kaup system

被引：0
|
作者：
Zhonglong Zhao
Bo Han
机构：
[1] Harbin Institute of Technology,Department of Mathematics
来源：
The European Physical Journal Plus | / 130卷
关键词：
Optimal System; Travel Wave Solution; Homotopy Operator; Conservation Theorem; Simple Equation Method;
D O I：
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摘要：
The Broer-Kaup system is an important physical model which is used to model the bi-directional propagation of long waves in shallow water. In this paper, Lie symmetry analysis is performed on the Broer-Kaup system. We get the Lie point symmetries and optimal system of one-dimensional subalgebras. Similarity reductions of the system are obtained based on optimal system of one-dimensional subalgebras. We present some exact solutions of the system, which include similarity solutions and travelling wave solutions. Furthermore, some conservation laws are generated via multipliers. The conservation laws associated with symmetries of this equation are constructed by utilizing the new conservation theorem.
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