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Classification and Approximate Solutions to Perturbed Nonlinear Diffusion-Convection Equations
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O411.1[理学—理论物理;理学—物理]
  • 作者机构：[1]Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi＇an 710069, China, [2]Center of Nonlinear Science, Ningbo University, Ningbo 315211, China
  • 相关基金：The project supported by National Natural Science Foundation of China under Grant Nos. 10371098 and 10447007 and the Natural Science Foundation of Shanxi Province of China under Grant No. 2005A13
作者： WANG Yong[1], ZHANG Shun-Li[1,2]
关键词： 非线性扩散对流方程, 近似条件, 近似不变值, 数学物理, perturbed nonlinear diffusion-convection equation, approximate generalized conditional symme-try, approximate invariant solution
中文摘要：

这篇论文经由近似概括有条件的对称(自动增益控制) 与来源术语学习使不安的非线性的散开传送对流方程。承认 AGCS 的某些类型的那些使不安的方程的完全的分类被导出。产生方程的一些近似不变的答案能也被获得。

英文摘要：

This paper studies the perturbed nonlinear diffusion-convection equation with source term via the approximate generalized conditional symmetry （A GCS）. Complete classification of those perturbed equations which admit certain types of AGCSs is derived. Some approximate invariant solutions to the resulting equations can also be obtained.

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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