摘要
We concentrate on finding exact solutions for a generalized variable-coefficient Korteweg-de Vries equation of physically significance. The analytic N-soliton solution in Wronskian form for such a model is postulated and verified by direct substituting the solution into the bilinear form by virtue of the Wronskian technique. Additionally, the bilinear auto-Backlund transformation between the （ N - 1）- and N-soliton solutions is verified.
We concentrate on finding exact solutions for a generalized variable-coefficient Korteweg-de Vries equation of physically significance. The analytic N-soliton solution in Wronskian form for such a model is postulated and verified by direct substituting the solution into the bilinear form by virtue of the Wronskian technique. Additionally, the bilinear auto-Backlund transformation between the （ N - 1）- and N-soliton solutions is verified.
基金
Supported by the Beijing Excellent Talent Fund under Grant No 60624001, the National Natural Science Foundation of China under Grant Nos 60772023 and 60372095, the Key Project of the Ministry of Education of China under Grant No 106033, the Open Fund of the State Key Laboratory of Software Development Environment under Grant No SKLSDF,-07-001, Belling University of Aeronautics and Astronautics, the National Basic Research Programme of China under Grant No 2005CB321901, and the Specialized Research Pund for the Doctoral Programme of Higher Education under Grant No 20060006024. We express our sincere thanks to Professor B. Tian for her valuable comments.
