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Acta Physica Sinica (Overseas Edition), 1995, Vol. 4(6): 401-405    DOI: 10.1088/1004-423X/4/6/001
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NEW SYMMETRIES AND LIE ALGEBRAS OF THE GENERAL KdV EQUATION

ZHANG JIE-FANG (张解放)
Institute of Nonlinear Physics and Department of Physics, Zhejiang Normal University, Jinhua 321004, China
Abstract  The strong symmetry of the general KdV equation is factorized to a simple form and then the inverse strong symmetry is obtained explicitly. Acting a strong symmetry of the general KdV equation on the trivial symmetry and the known $\tau_{\rm c}$ symmetry, we obtain four new sets of symmetries of the general KdV equation. All these sets of symmetries constitute an infinite dimensional Lie algebra.
Received:  02 August 1994      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Jr (Partial differential equations)  
  02.30.Rz (Integral equations)  
  02.10.Ud (Linear algebra)  
  11.30.-j (Symmetry and conservation laws)  

Cite this article: 

ZHANG JIE-FANG (张解放) NEW SYMMETRIES AND LIE ALGEBRAS OF THE GENERAL KdV EQUATION 1995 Acta Physica Sinica (Overseas Edition) 4 401

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