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Variable Separation and Exact Separable Solutions for Equations of Type uxt=A（u,ux）uxx＋B（u,ux）
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O411[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]Institute of Modern Physics, Northwest University, Xi＇an 710069, China, [3]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, 10447007, aria 10475055, the Natural Science Foundation of Shaanxi Province of China under Grant No. 2005A13, and the Special Research Project of Educational Department of Shaanxi Province under Grant No. 03JK060
作者： ZHANG Shun-Li[1,2,3]
关键词： 非线性进化方程, 变量分离, 广义条件对称性, 分级, nonlinear evolution equations, variable separation, generalized conditional symmetry
中文摘要：

概括有条件的对称被开发为类型 u_(xt ) 的方程学习可变分离 = A (u， u_x )u_(x x )+ B (u， u_x ) 。承认导出依赖者的功能的可分离的答案的那些方程的完全的分类被获得，一些他们的准确可分离的答案被构造。

英文摘要：

The generalized conditional symmetry is developed to study the variable separation for equations of type uxt = A（u,ux）uxx ＋ B（u, ux）. Complete classification of those equations which admit derivative-dependent functional separable solutions is obtained and some of their exact separable solutions are constructed.

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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