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Symmetries of the Variable Coefficient KdV Equation and Three
Hierarchies of the Integrodifferential Variable Coefficient KdV Equation
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| ZHANG Jiefang1;HAN Ping2 |
| 1Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004
2Department of Physics, Zhoushan Teacher’s College, Zhoushan 316004
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| Cite this article: |
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ZHANG Jiefang, HAN Ping 1994 Chin. Phys. Lett. 11 721-723 |
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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.
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| Keywords:
02.20.+b
11.10.Lm
02.90.+p
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Published: 01 December 1994
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02.20.+b
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11.10.Lm
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(Nonlinear or nonlocal theories and models)
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02.90.+p
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(Other topics in mathematical methods in physics)
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