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DARBOUX TRANSFORMATION OF A NONLINEAR EVOLUTION EQUATION AND ITS EXPLICIT SOLUTIONS |
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| Authors: | Li Wenmin |
| Institution: | a College of Sciences, the Northwest Sci-Tech University of Agriculture and Forestry, Yangling 712100, China b College of Sciences, Xi'an Jiaotong University, Xi'an 710049, China c Department of Mathematics, Henan College of Education, Zhengzhou 450052, China |
| Abstract: | In this paper, we study a differential-difference equation associated with discrete 3 × 3 matrix spectral problem. Based on gauge transformation of the spectral problm, Darboux transformation of the differential-difference equation is given. In order to solve the differential-difference equation, a systematic algebraic algorithm is given. As an application, explicit soliton solutions of the differential-difference equation are given. |
| Keywords: | Darboux transformation solitons explicit solution Lax-pair differentialdifference equation |
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