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Symmetry Reduction and Cauchy Problems for a Class of Fourth-Order Evolution Equations
  • 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]西北大学数学系,陕西西安710000
  • 相关基金：国家自然科学基金资助项目（10671156）
作者： LI Ji-Na[1], ZHANG Shun-Li[1,2]
关键词： 伸缩群, 不变集, 精确解, scaling , invariant set , exact solution
中文摘要：

利用屈长征,Estevez提出的推广的不变集S1={u：ux=（1/x）F（u）＋зF（u）[exp（n-1）∫^n（1/F（z））dz]}求推广的反应扩散方程ux=A（u）u（xx）＋B（u）ux^2＋C（u）ux＋D（u）的精确解,给出了推广的方程的一些特殊解,丰富了推广的方程的解.

英文摘要：

We used the extended invariant set which proposed by Qu and Estevez to give the exact solution of the generalized reaction-diffusion equation, ux=A（u）u（xx）＋B（u）ux^2＋C（u）ux＋D（u）. Some special exact solutions associated to the equation are obtained. We have more richer solution to the generalized reaction-diffusion equation.

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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