Coupled Modified Korteweg-de Vries Lattice in (2+1) Dimensions and Soliton Solutions

Coupled Modified Korteweg-de Vries Lattice in

(2+1) Dimensions and Soliton Solutions

佚名

【期刊名称】《《理论物理通讯（英文版）》》 【年(卷),期】2006(045)004

【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 equation in (2+1)-dimensions are explicitly given.

【总页数】6页(581-586)

【关键词】modified Korteweg-de Vries lattice; Darboux transformation; soliton solutions 【作者】佚名

【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