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作者

YANG Hong-Xiang LI Xiu-Zhen XU Xi-Xiang DING Hai-Yong

作者单位

Department of Information Science and Technology, Taishan College, Taian 271021, China；Department of Radiology, Taishan Medical University, Taian 271000, China；College of Science, Shandong University of Science and Technology, Qingda o 266510, China；College of Information Science and Engineering, Shandong Agricultural University, Taian 271018, China

刊名

理论物理通讯（英文版）

年份

2006

卷号

第4期

页码

581-586

ISSN

0253-6102

关键词

modified Korteweg-de Vries lattice Darboux transformation soliton solutions

分类号

O4

摘要

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 e...更多

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.收起

学科

【教育部学科】理学

文献类型

期刊

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