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DARBOUX TRANSFORMATION OF A NONLINEAR EVOLUTION EQUATION AND ITS EXPLICIT SOLUTIONS

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【作者】 李文敏； 韩有攀； 周高军；

【Author】 Li Wenmin College of Sciences, the Northwest Sci-Tech University of Agriculture and Forestry, Yangling 712100, China Han Youpan College of Sciences, Xi’an Jiaotong University, Xi’an 710049, China Zhou Gaojun Department of Mathematics, Henan College of Education, Zhengzhou 450052, China

【机构】 College of Sciences, the Northwest Sci-Tech University of Agriculture and Forestry； College of Sciences, Xi’an Jiaotong University； Department of Mathematics, Henan College of Education；

【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 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.

【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.

【关键词】 Darboux transformation； solitons； explicit solution； Lax-pair； differentialdifference equation；
【Key words】 Darboux transformation； solitons； explicit solution； Lax-pair； differentialdifference equation；
【基金】 Project supported by the Talent Foundation of the Northwest Sci-Tech University of Agriculture and Forestry (01140407)
  • 【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2011年04期
  • 【分类号】O175.7
  • 【被引频次】3
  • 【下载频次】42
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