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Symmetries and Similarity Reductions of a New （2＋1）-Dimensional Shallow Water Wave System
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O152.5[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China
  • 相关基金：The project supported by National Natural Science Foundation of China under Grant Nos. 10475055 and 90503006.Acknowledgments I would like to express my deep appreciation to Prof. S.Y. Lou for his valuable advice and guidance. I would also like to thank Drs. X.Y. Tang, X.Y. Jiao, and J.M. Li for their helpful discussions.
作者： LIU Ping[1]
关键词： 对称性, 空间, 浅水波, 李群, 群论, （2＋1）-dimensional shallow water wave system, classical Lie group approach, symmetries, similarity reductions
中文摘要：

对称一(2+1 ) 维的浅水波浪系统，最新通过使用分析力学的变化原则被构造，在这篇论文被研究。谎言对称和相应减小借助于古典谎言组途径被获得。(1+1 ) 维的排水量当特殊对称参数被选择时，浅水波浪方程能从减小被导出。

英文摘要：

The symmetries of a （2＋1）-dimensional shallow water wave system, which is newly constructed through applying variation principle of analytic mechanics, are researched in this paper. The Lie symmetries and the corresponding reductions are obtained by means of classical Lie group approach. The （1＋1） dimensional displacement shallow water wave equation can be derived from the reductions when special symmetry parameters are chosen.

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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