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一类偏微分方程的Painleve分析
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O175.29[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
  • 相关基金：国家自然科学基金项目(10747141;10735030);; 韶关学院基金(20091501)
作者： 位瑞英[1], 李银[1]
关键词： 李群理论, 单参数变换群, 偏微分方程, PAINLEVE, Lie group theory, one-parameter transformation group, partial differential equations, Painleve
中文摘要：

基于WTC方法对一类偏微分方程iut+uxx-2|u|2u=au-b的Painleve性质进行了检验,使之能有效地用于非线性系统的可积性及不可积系统特殊类型解的研究,并给出该方程的潘勒维检验.

英文摘要：

Based on WTC method of the basic theory, we test a class of partial differential equations(iut+uxx-2 |u |2u =au -b) of Painleve properties, and the method can effectively be used for integrability of nonlinear systems and non-integrable system of special type of solution and give Panlewei checkouts of partial differential equations.

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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