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物理学报 2009
Infinitely many symmetries and symmetry reduction of (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
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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.