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Extension of variable separable solutions for nonlinear evolution equations
  • ISSN号：0253-6102
  • 期刊名称：COMMUNICATIONS IN THEORETICAL PHYSICS
  • 时间：0
  • 页码：829-832
  • 语言：中文
  • 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]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China, [3]Center of Nonlinear Science, Ningbo University, Ningbo 315211, China, [4]School of Science, Xi＇an Jiaotong University, Xi＇an 710049, China
  • 相关基金：The project supported by National Natural Science Foundation of China under Grant Nos. 10447007 and 10671156 and the Natural Science Foundation of Shaanxi Province of China under Grant No. 2005A13
  • 相关项目：灾害性天气和气候研究的数学物理问题
作者： Zhu, Xiao-Ning|Zhang, Shun-Li|Wang, Yong-Mao|Lou, Sen-Yue|
关键词： 非线性演化方程, 变量, 可分离式解题, 对称性, nonlinear evolution equation, variable separable solution, generalized conditional symmetry
中文摘要：

我们给非线性的进化方程的可变可分离的答案的概括定义，并且描绘在功能的可分离的解决方案和导出依赖者的功能的可分离的解决方案之间的关系。新定义能统一出现在引用的可变可分离的解决方案的各种各样的类型。作为申请，我们分类承认特殊功能的可分离的答案并且获得一些准确答案到产生方程的概括非线性的散开方程。

英文摘要：

We give the generalized definitions of variable separable solutions to nonlinear evolution equations, and characterize the relation between the functional separable solution and the derivative-dependent functional separable solution. The new definitions can unify various kinds of variable separable solutions appearing in references. As application, we classify the generalized nonlinear diffusion equations that admit special functional separable solutions and obtain some exact solutions to the resulting equations.

同期刊论文项目
灾害性天气和气候研究的数学物理问题
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非线性系统的条件对称和变量分离
期刊论文 35 会议论文 1 获奖 2 著作 1
不变几何流中的非线性偏微分方程
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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