摘要
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.
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 bilmear transformation from its Lax pairs and End solutions with the help of the obtained bilinear transformation.
基金
国家自然科学基金
关键词
精确解
等谱线
系数变化KdV函数
数学物理偏微分方程
nonisospectral and variable-coefficient KdV equation
Hirota method
Wronskian technique
transformation