Acta mathematica scientia, Series B >
DARBOUX TRANSFORMATION OF A NONLINEAR EVOLUTION EQUATION AND ITS EXPLICIT SOLUTIONS
Received date: 2009-07-02
Revised date: 2009-12-25
Online published: 2011-07-20
Supported by
Project supported by the Talent Foundation of the Northwest Sci-Tech University of Agriculture and Forestry (01140407).
In this paper, we study a differential-difference equation associated with dis-crete 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 appli-cation, explicit soliton solutions of the differential-difference equation are given.
LI Wen-Min , HAN You-Qin , ZHOU Gao-Jun . DARBOUX TRANSFORMATION OF A NONLINEAR EVOLUTION EQUATION AND ITS EXPLICIT SOLUTIONS[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1457 -1464 . DOI: 10.1016/S0252-9602(11)60331-7
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