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物理学报  2009 

Infinitely many symmetries and symmetry reduction of (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
2+1维广义Calogero-Bogoyavlenskii-Schiff方程的无穷多对称及其约化

Keywords: infinitely many symmetries,truncated symmetries,symmetry reduction,generalized Calogero-Bogoyavlenskii-Schiff equation
无穷多对称
,截断对称,对称约化,GCBS方程

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Abstract:

Integrability condition of (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation are obtained by Painléve-test. Based on this condition and Painléve-test, the bilinear form of GCBS equation is found. Towards this bilinear form infinitely many formal aeries symmetries are found by the formal series symmetry method, the obtained symmetries are used to get the symmetry reductions of GCBS equation.

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