物理学报Issue(12)：1-8,8.DOI:10.7498/aps.62.120202
超Kaup-Newell族的非线性可积耦合及其超哈密顿结构*
Nonlinear integrable couplings of super Kaup-Newell hierarchy and its super Hamiltonian structures∗
摘要
Abstract
Based on a kind of new Lie superalgebras, we introduce the general method of constructing the nonlinear integrable couplings of super soliton hierarchy. Super trace identity over the corresponding loop superalgebras is used to obtain the super Hamiltonian structures for the resulting nonlinear integrable couplings of the super soliton hierarchy. As an application, we give the nonlinear integrable couplings of super Kaup-Newell hierarchy and its super Hamiltonian structures. This method can be generalized to other super soliton hierarchy.关键词
Lie超代数/超迹恒等式/超Kaup-Newell族/非线性可积耦合Key words
Lie superalgebras/super trace identity/super Kaup-Newell hierarchy/nonlinear integrable couplings引用本文复制引用
魏含玉,夏铁成..超Kaup-Newell族的非线性可积耦合及其超哈密顿结构*[J].物理学报,2013,(12):1-8,8.基金项目
国家自然科学基金(批准号:11271008,61072147,11071159)、上海高校一流学科、上海大学重点学科(批准号:13-0101-12-004)和河南省自然科学基金(批准号:132300410202)资助的课题 （批准号:11271008,61072147,11071159）
