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

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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

关键词: modified Korteweg-de Vries lattice Darboux transformation soliton solutions

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

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