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Nonlocalization of Nonlocal Symmetry and Symmetry Reductions of the Burgers Equation
  • ISSN号：0253-6102
  • 期刊名称：COMMUNICATIONS IN THEORETICAL PHYSICS
  • 时间：2012.12
  • 页码：795-799
  • 分类：O241.82[理学—计算数学;理学—数学] O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]Ningbo Institute of Education, Ningbo 315010, China, [2]Faculty of Science, Ningbo University, Ningbo 315211, China, [3]Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China
  • 相关基金：Supported by the National Natural Science Foundations of China under Grant Nos. 11175092, 11275123, 11205092, Scientific Research Fund of Zhejiang Provincial Education Department under Grant No. Y201017148, and K.C. Wong Magna Fund in Ningbo University
  • 相关项目：达布变换，非局域对称及其局域化
作者： Jin Yan|Jia Man|Lou Sen-Yue*|
关键词： BURGERS方程, 对称性, 非局部, 相互作用, 还原法, Burgers equation, nonlocal symmetry, interaction solutions
中文摘要：

Symmetry reduction method is one of the best ways to find exact solutions. In this paper, we study the possibility of symmetry reductions of the well known Burgers equation including the nonlocal symmetry. The related new group invariant solutions are obtained. Especially, the interactions among solitons, Airy waves, and Kummer waves are explicitly given.

英文摘要：

Symmetry reduction method is one of the best ways to find exact solutions. In this paper, we study the possibility of symmetry reductions of the well known Burgers equation including the nonlocal symmetry. The related new group Jnvariant solutions are obtained. Especially, the interactions among solitons, Airy waves, and Kummer waves are explicitly given.

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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