Approximate Symmetries and Infinite Series Symmetry Reduction Solutions to Perturbed Kuramoto-Sivashinsky Equation

被引：0
|
作者：
YAO Ruo-Xia~(1
机构：
来源：
CommunicationsinTheoreticalPhysics | 2009年 / 51卷 / 05期
关键词：
perturbed Kuramoto-Sivashinsky equation; approximate symmetry reduction; series reduction solution;
D O I：
暂无
中图分类号：
O411 [物理学的数学方法];
学科分类号：
0701 ;
摘要：
Starting from Lie symmetry theory and combining with the approximate symmetry method, and using thepackage LieSYMGRP proposed by us, we restudy the perturbed Kuramoto-Sivashinsky (KS) equation. The approximatesymmetry reduction and the infinite series symmetry reduction solutions of the perturbed KS equation are constructed.Specially, if selecting the tanh-type travelling wave solution as initial approximate, we not only obtain the general formulaof the physical approximate similarity solutions, but also obtain several new explicit solutions of the given equation, whichare first reported here.
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页码：785 / 788
页数：4
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