期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 71, 期 3, 页码 748-757出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2015.12.035
关键词
Generalized Benney system; Symmetry analysis; Geometric approach; Symmetry reduction
资金
- National Natural Science Foundation of China [11271362, 11375030]
- Beijing Natural Science Fund Project
- Beijing City Board of Education Science and Technology [KZ201511232034]
- Beijing Natural Science Foundation [1153004]
- Beijing Nova program [Z131109000413029]
- Beijing Finance Funds of Natural Science Program for Excellent Talents [2014000026833ZK19]
In this work, the symmetry group and similarity reductions of the two-dimensional generalized Benney system are investigated by means of the geometric approach of an invariance group, which is equivalent to the classical Lie symmetry method. Firstly, the vector field associated with the Lie group of transformation is obtained. Then the point transformations are proposed, which keep the solutions of the generalized Benney system invariant. Finally, the symmetry reductions and explicitly exact solutions of the generalized Benney system are derived by solving the corresponding symmetry equations. (C) 2016 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据