Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation

Zhang Huan-Ping; Chen Yong; Li Biao

doi:10.7498/aps.58.7393

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 series symmetries are found by the formal series symmetry method, the obtained symmetries are used to get the symmetry reductions of GCBS equation.

Keywords:
infinitely many symmetries /

truncated symmetries /

symmetry reduction /

generalized Calogero-Bogoyavlenskii-Schiff equation
Authors and contacts
Zhang Huan-Ping,

Chen Yong,

Li Biao

1.
宁波大学数学系，宁波 315211
References

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Vol. 58, Issue 11 - 2009-06-05

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Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation

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Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation

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