Exact Solutions for a Nonisospectral and Variable-Coefficient KdV Equation

The bilinear form for a nonisospectral and variable-coefficient KdV equation is obtained and some exact soliton solutions are derived through Hirota method and Wronskian technique. We also derive the bilinear transformation from its Lax pairs and find solutions with the help of the obtained bilinear...

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Bibliographic Details
Published in:Communications in theoretical physics 2005-06, Vol.43 (6), p.961-964
Main Author: DENGShu-Fang
Format: Article
Language:English
Subjects:
数学物理偏微分方程
等谱线
精确解
系数变化KdV函数
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Summary:The bilinear form for a nonisospectral and variable-coefficient KdV equation is obtained and some exact soliton solutions are derived through Hirota method and Wronskian technique. We also derive the bilinear transformation from its Lax pairs and find solutions with the help of the obtained bilinear transformation.
ISSN:0253-6102
DOI:10.1088/0253-6102/43/6/001