Functional separable solutions to nonlinear diffusion equations by group foliation method
文献类型：期刊论文
| 作者 | Hu Jia-Yi; Qu Chang-Zheng; Yin Hui |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2007-02-15 |
| 卷号 | 47期号:2页码:193-199 |
| 关键词 | group foliation method functional separation of variable nonlinear diffusion equation symmetry group |
| 英文摘要 | We consider the functional separation of variables to the nonlinear diffusion equation with source and convection term: u(t) = (A(x)D(u)u(x))(x) + B(x)Q(u), A(x) not equal 0. The functional separation of variables to this equation is studied by using the group foliation method. A classification is carried out for the equations which admit the. function separable solutions. As a consequence, some solutions to the resulting equations are obtained. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Physics, Multidisciplinary |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | KLEIN-GORDON EQUATIONS ; VARIABLE SEPARATION ; EVOLUTION-EQUATIONS ; STACKEL MATRICES ; DIMENSIONS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000244721300001 |
| 公开日期 | 2015-07-28 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/4837]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.NW Univ Xian, Ctr Nonlinear Studies, Xian 710069, Peoples R China 2.NW Univ Xian, Dept Math, Xian 710069, Peoples R China 3.S Cent Univ Natl, Dept Math, Wuhan 430074, Peoples R China 4.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu Jia-Yi,Qu Chang-Zheng,Yin Hui. Functional separable solutions to nonlinear diffusion equations by group foliation method[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2007,47(2):193-199. |
| APA | Hu Jia-Yi,Qu Chang-Zheng,&Yin Hui.(2007).Functional separable solutions to nonlinear diffusion equations by group foliation method.COMMUNICATIONS IN THEORETICAL PHYSICS,47(2),193-199. |
| MLA | Hu Jia-Yi,et al."Functional separable solutions to nonlinear diffusion equations by group foliation method".COMMUNICATIONS IN THEORETICAL PHYSICS 47.2(2007):193-199. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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