摘要
基于两类不同的Lie超代数和超迹恒等式,建立了两类超可积Tu族的自相容源方程.另外,还建立了两类超可积Tu族的无穷守恒律.特别地,费米变量在超可积系统里面起了重要作用,它不同于一般的可积系统.
Based on two different Lie super algebras and supertrace identities, the two types of super-integrable Tu-hierarchy with self-consistent sources are established. Furthermore, the authors establish the infinitely many conservation laws for the two types of super-integrable Tu-hierarchy. Especially, the Fermi variables play important roles in super integrable systems which are different from the ordinary integrable systems.
出处
《数学年刊（A辑）》
CSCD
北大核心
2013年第5期531-544,共14页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.11271008,No.61072147,No.11071159)
上海市教委重点学科(No.J50101)
上海大学重点学科(No.A13-0101-12-004)的资助
关键词
超迹恒等式
自相容源
守恒律
费米变量
Supertrace identities, Self-consistent sources, Conservation laws, Fermi variables
