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N-soliton-typed solution in terms of Wronskian determinant for a forced variable-coefficient Korteweg-de Vries equation
Zhen-Zhi Yao 1 #,Chun-Yi Zhang 2,Hong-Wu Zhu 3,Xiang-Hua Meng 3,Tao Xu 3,Bo Tian 3 *
1.BUPT
2.Ministry-of-Education Key Laboratory of Fluid Mechanics and National
3.School of Science, P. O. Box 122, Beijing University of Posts
*Correspondence author
#Submitted by
Subject:
Funding: 教育部博士点基金,国家自然科学基金,教育部基金(No.20060006024)
Opened online:15 January 2007
Accepted by: none
Citation: Zhen-Zhi Yao,Chun-Yi Zhang,Hong-Wu Zhu.N-soliton-typed solution in terms of Wronskian determinant for a forced variable-coefficient Korteweg-de Vries equation[OL]. [15 January 2007] http://en.paper.edu.cn/en_releasepaper/content/10725
 
 
In this paper, we first derive the bilinear form and auto-Backlund transformation for a variable-coefficient Korteweg-de Vries-typed (vcKdV) equation with external-force term. Then, we obtain the N-soliton-typed solution in terms of Wronskian form, which is proved to be indeed an exact solution of this equation through Wronskian technique. In addition, we show that the (N-1)- and N-soliton-typed solutions satisfy the auto-Backlund transformation by using the same method.
Keywords:Variable-coefficient Korteweg-de Vries equation; Auto-Backlund transformation; N-soliton-typed solution; Wronskian determinant
 
 
 

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