Open AccessInfinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
Author(s) -
Zhang Huan-Ping,
Yong Chen,
Biao Li
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.7393
Subject(s) - homogeneous space , symmetry (geometry) , bilinear interpolation , series (stratigraphy) , mathematical physics , reduction (mathematics) , bilinear form , mathematics , physics , pure mathematics , geometry , paleontology , statistics , biology
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.