The derivative-dependent functional variable separation for the evolution equations
文献类型：期刊论文
| 作者 | Zhang Shun-Li; Lou Sen-Yue; Qu Chang-Zheng |
| 刊名 | CHINESE PHYSICS
 |
| 出版日期 | 2006-12-01 |
| 卷号 | 15页码:2765-2776 |
| 关键词 | derivative-dependent functional variable separation evolution equations generalized conditional symmetry |
| ISSN号 | 1009-1963 |
| 英文摘要 | This paper studies variable separation of the evolution equations via the generalized conditional symmetry. To illustrate, we classify the extended nonlinear wave equation u(tt) = A(u, u(x)) u(xx) + B(u, u(x), u(t)) which admits the derivative-dependent functional separable solutions (DDFSSs). We also extend the concept of the DDFSS to cover other variable separation approaches. |
| WOS关键词 | NONLINEAR-WAVE EQUATIONS ; (2+1)-DIMENSIONAL KDV EQUATION ; PARTIAL-DIFFERENTIAL-EQUATIONS ; KORTEWEG-DEVRIES EQUATION ; KLEIN-GORDON EQUATIONS ; SEPARABLE SOLUTIONS ; SCHRODINGER-EQUATION ; DIFFUSION-EQUATIONS ; LOCALIZED EXCITATIONS ; NONINTEGRABLE MODELS |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000242376500001 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://119.78.100.186/handle/113462/26729]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Zhang Shun-Li |
| 作者单位 | 1.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China 2.NW Univ Xian, Dept Math, Xian 710069, Peoples R China 3.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang Shun-Li,Lou Sen-Yue,Qu Chang-Zheng. The derivative-dependent functional variable separation for the evolution equations[J]. CHINESE PHYSICS,2006,15:2765-2776. |
| APA | Zhang Shun-Li,Lou Sen-Yue,&Qu Chang-Zheng.(2006).The derivative-dependent functional variable separation for the evolution equations.CHINESE PHYSICS,15,2765-2776. |
| MLA | Zhang Shun-Li,et al."The derivative-dependent functional variable separation for the evolution equations".CHINESE PHYSICS 15(2006):2765-2776. |
入库方式： OAI收割
来源：近代物理研究所
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