Symmetries of the Variable Coefficient KdV Equation and Three
Hierarchies of the Integrodifferential Variable Coefficient KdV Equation
ZHANG Jiefang1 , HAN Ping2
1 Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004
2 Department of Physics, Zhoushan Teacher’s College, Zhoushan 316004
Symmetries of the Variable Coefficient KdV Equation and Three
Hierarchies of the Integrodifferential Variable Coefficient KdV Equation
ZHANG Jiefang1 ;HAN Ping2
1 Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004
2 Department of Physics, Zhoushan Teacher’s College, Zhoushan 316004
关键词 ：
02.20.+b ,
11.10.Lm ,
02.90.+p
Abstract ： By using a simple method to factorize the recursion operator, the inverse recursion operator of the variable coefficient KdV cquqtion is exhibited explicitly. Thee new sets of symmetries of the variable coefficient KdV equation arc given in addition to the known K symmetries and τ symmetries. Starting from these three sets of symmetries, we obtained three hierarchies of the variable coefficient KdV integro-differential equations.
Key words ：
02.20.+b
11.10.Lm
02.90.+p
出版日期: 1994-12-01
:
02.20.+b
11.10.Lm
(Nonlinear or nonlocal theories and models)
02.90.+p
(Other topics in mathematical methods in physics)
引用本文:
ZHANG Jiefang;HAN Ping. Symmetries of the Variable Coefficient KdV Equation and Three
Hierarchies of the Integrodifferential Variable Coefficient KdV Equation
[J]. 中国物理快报, 1994, 11(12): 721-723.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y1994/V11/I12/721
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