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  5. DARBOUX TRANSFORMATION OF A NONLINEAR EVOLUTION EQUATION AND ITS EXPLICIT SOLUTIONS

DARBOUX TRANSFORMATION OF A NONLINEAR EVOLUTION EQUATION AND ITS EXPLICIT SOLUTIONS

来源 :数学物理学报（英文版） | 被引量 : 0次 | 上传用户：t6293003
【摘 要】
：
In this paper,we study a differential-difference equation associated with discrete 3 × 3 matrix spectral problem.Based on gauge transformation of the spectral
【作 者】
：
Li Wenmin Han Youpan Zhou Gaoj 
【机 构】
：
College of Sciences,Department of Mathematics
【出 处】
：
数学物理学报（英文版）
【发表日期】
：
2004年期
【关键词】
：
Darboux transformation solitons explicit solution Lax-pair differentialdifferenc 
【基金项目】
：
Project the Talent Foundation of the Northwest Sci-Tech University of Agriculture and Forestry
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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.
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