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Approximate Symmetries and Infinite Series Symmetry Reduction Solutions to Perturbed Kuramoto-Sivashinsky Equation
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O4-09[理学—物理] O173[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200062, China, [2]School of Computer Science, Shaanxi Normal University, Xi＇an 710062, China, [3]Department of Physics, Ningbo University, Ningbo 315211, China
  • 相关基金：The project supported by National Natural Science Foundations of China under Grant Nos. 10735030, 10475055, and 90503006, the Natural Science Research Plan in Shaanxi Province under Grant No. SJ08A09, the Research Fund of Postdoctoral of China under Grant No. 20070410727, and the Research Found of Shaanxi Normal University
作者： YAO Ruo-Xia[1,2,3], JIAO Xiao-Yu[1], LOU Sen-Yue[1,3]
关键词： 对称性理论, 无穷级数, 解方程, 摄动, 级数解, 堪萨斯州, 物理公式, 行波解, perturbed Kuramoto-Sivashinsky equation, approximate symmetry reduction, series reduction solution
中文摘要：

从谎言对称理论开始并且与近似对称方法结合，并且使用包裹 LieSYMGRP 由我们求婚了，我们再学习使不安的 Kuramoto Sivashinsky (KS ) 方程。近似对称减小和使不安的 KS 方程的无限的系列对称减小答案被构造。特殊，如果选择 tanh 类型旅行，作为起始挥动答案近似，我们不仅获得物理近似类似答案的一般公式，而且获得给定的方程的几个新明确的答案，它首先这里被报导。

英文摘要：

Starting from Lie symmetry theory and combining with the approximate symmetry method, and using the package LieSYMGRP proposed by us, we restudy the perturbed Kuramoto-Sivashinsky （KS） equation. The approximate symmetry 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 formula of the physical approximate similarity solutions, but also obtain several new explicit solutions of the given equation, which are first reported here.

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期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342