摘要
通过潘勒卫检验,得到了2+1维广义Calogero-Bogoyavlenskii-Schiff方程可积的条件.在这个基础上,得到了GCBS方程的双线性形式,从而根据形式级数展开法得到了无穷多对称.根据这个对称可以得到GCBS方程的约化.
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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2009年第11期7393-7396,共4页
Acta Physica Sinica
基金
国家自然科学基金(批准号:10747141
10735030)
宁波自然科学基金(批准号:2007A610049
2008A610017)
国家重点基础研究发展计划(973)项目(批准号:2007CB814800)
宁波大学王宽诚教育基金
教育部长江学者与创新团队项目(批准号:IRT0734)资助的课题~~
关键词
无穷多对称
截断对称
对称约化
GCBS方程
infinitely many symmetries
truncated symmetries
symmetry reduction
generalized Calogero-Bogoyavlenskii-Schiff equation