Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664492 | Acta Mathematica Scientia | 2011 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)