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Coupled Modified Korteweg-de Vries Lattice in (2+1) Dimensions and Soliton Solutions |
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| Authors: | YANG Hong-Xiang LI Xiu-Zhen XU Xi-Xiang DING Hai-Yong |
| Affiliation: | 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, ShandongAgricultural 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 |
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