|
|||||
|
|
Coupled Modified Korteweg-de Vries Lattice in (2+1) Dimensions and Soliton Solutions |
|
| Authors: | YANG Hong-Xiang LI Xiu-Zhen XU Xi-Xiang DING Hai-Yong |
| Institution: | 1. Department of Information Science and Technology, Taishan College, Taian 271021, China ;2. Department of Radiology, Taishan Medical University, Taian 271000, China ;3. College of Science, Shandong University of Science and Technology, Qingdao 266510, China ;4. College of Information Science and Engineering, Shandong Agricultural University, Taian 271018, China |
| Abstract: | The coupled semi-discrete modified Korteweg-de Vries equation in (2 1)-dimensions is proposed. It is shown that it can be decomposed into two (1 1)-dimensional differential-difference equations belonging to mKdV lattice hierarchy by considering a discrete isospectral problem. A Darboux transformation is set up for the resulting (2 1)- dimensional lattice soliton equation with the help of gauge transformations of Lax pairs. As an illustration by example,the soliton solutions of the mKdV lattice equation in (2 1)-dimensions are explicitly given. |
| Keywords: | modified Korteweg-de Vries lattice Darboux transformation soliton solutions |
| 本文献已被 万方数据 等数据库收录！ | |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 | |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 | |