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群理论解非线性KdV方程的探讨
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]韶关学院数学与信息科学学院,广东韶关512005
  • 相关基金：国家自然科学基金项目（10747141;11172181）; 韶关学院基金项目（韶学院[2012]1号）
作者： 李银[1]
关键词： BURGERS方程, 生成元, 对称约化, 数值解, Burgers equation, the same group of generator, symmetry reduction, numerical solution
中文摘要：

以Burgers方程为对象,研究了方程的不变群的生成元、对称约化问题.利用李群对称求出方程的解,并给出方程的生成元求法,及对称解,最后通过数值模拟验证了其有效性.

英文摘要：

Based on symmetrical idea,the paper studies the same group of generators and the symmetrical problem of the Burgers equation,we solve and obtain the same group of generators and the symmetric solution of the Burgers equation by constructing an auxiliary equation and the original equation form equations.Consequenlly,we verify the method validity by numerical simulation.

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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