Darboux Transformation of a Differential--Difference Equation and Its Explicit Solutions
LI Wen-Min1,2, GENG Xian-Guo1
1Department of Mathematics, Zhengzhou University, Zhengzhou 450052
2College of Life Sciences, the Northwest Sci-Tech University of Agriculture and Forestry, Yangling 712100
Darboux Transformation of a Differential--Difference Equation and Its Explicit Solutions
LI Wen-Min1,2;GENG Xian-Guo1
1Department of Mathematics, Zhengzhou University, Zhengzhou 450052
2College of Life Sciences, the Northwest Sci-Tech University of Agriculture and Forestry, Yangling 712100
Abstract： The Darboux transformation of a differential--difference equation associated with a 3×3 matrix spectral problem is derived. As an application, explicit soliton solutions of the differential--difference equation are presented.
LI Wen-Min;GENG Xian-Guo. Darboux Transformation of a Differential--Difference Equation and Its Explicit Solutions[J]. 中国物理快报, 2006, 23(6): 1361-1364.
LI Wen-Min, GENG Xian-Guo. Darboux Transformation of a Differential--Difference Equation and Its Explicit Solutions. Chin. Phys. Lett., 2006, 23(6): 1361-1364.
2006, Vol. 23 
