%0 Journal Article %T SYMMETRY ALGEBRA OF THE KAUP-KUPERSHMIDT EQUATION
Kaup-Kupershmidt方程的对称代数 %A HAN PING %A LOU SEN-YUE %A
韩平 %A 楼森岳 %J 物理学报 %D 1994 %I %X Using the Miura and Cole-Hopf transformations, we prove that ten sets of time independent symmetries of the Kaup-Kupershmidt equation constitute a non-Abelian Lie algebra. Ten hierarchies of equations corresponding to these ten sets of symme-tries possess a common strong symmetry. The time independent symmetries of ten hierarchies of integrable models and the Lie algebras constituted by these symmetries are also given. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=F541943ADF55746A219F8CF7DC56EDA2&yid=3EBE383EEA0A6494&vid=BE33CC7147FEFCA4&iid=DF92D298D3FF1E6E&sid=8F39F7FDA07C2566&eid=AE9D5375B9B2D7F2&journal_id=1000-3290&journal_name=物理学报&referenced_num=1&reference_num=0