热门
Revisitation of the localized excitations of the (2+1)-dimensional KdV equation
文献类型：期刊论文
| 作者 | Lou, SY; Ruan, HY |
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
 |
| 出版日期 | 2001-01-19 |
| 卷号 | 34页码:305-316 |
| ISSN号 | 0305-4470 |
| 英文摘要 | In the previous paper (Lou S-y 1995 J. Phys. A: Math. Gen. 28 7227), a generalized dromion structure was revealed for the (2 + 1)-dimensional KdV equation, which was first derived by Boiti Et al (Boiti M, Leon J J P, Manna M and Pempinelli F 1986 Inverse Problems 2 271) using the idea of the weak Lax pair. In this paper, using a Backlund transformation and the variable separation approach, we find there exist much more abundant localized structures for the (2 + 1)-dimensional KdV equation. The abundance of the localized structures of the model is introduced by the entrance of an arbitrary function of the seed solution. Some special types of dromion solution, lumps, breathers, instantons and the ring type of soliton, are discussed by selecting the arbitrary functions appropriately. The dromion solutions can be driven by sets of straight-line and curved-line ghost solitons. The dromion solutions may be located not only at the cross points of the lines but also at the closed points of the curves. The breathers may breathe both in amplitude and in shape. |
| WOS关键词 | NONLINEAR SCHRODINGER-EQUATION ; VARIABLE SEPARATION APPROACH ; DIATOMIC MACRO-LATTICE ; SIMILARITY REDUCTIONS ; BOUSSINESQ EQUATION ; SYMMETRIES ; SOLITONS ; ALGEBRAS ; TRANSFORM ; SYSTEMS |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| 出版者 | IOP PUBLISHING LTD |
| WOS记录号 | WOS:000166655200007 |
| 源URL | [http://119.78.100.186/handle/113462/37572]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Lou, SY |
| 作者单位 | 1.CCAST, World Lab, Beijing 100080, Peoples R China 2.Shanghai Jiao Tong Univ, Dept Appl Phys, Shanghai 200030, Peoples R China 3.Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China 4.Ningbo Univ, Inst Modern Phys, Ningbo 315211, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lou, SY,Ruan, HY. Revisitation of the localized excitations of the (2+1)-dimensional KdV equation[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2001,34:305-316. |
| APA | Lou, SY,&Ruan, HY.(2001).Revisitation of the localized excitations of the (2+1)-dimensional KdV equation.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,34,305-316. |
| MLA | Lou, SY,et al."Revisitation of the localized excitations of the (2+1)-dimensional KdV equation".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 34(2001):305-316. |
入库方式： OAI收割
来源：近代物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。