青岛大学学报（自然科学版）2017，Vol.30Issue(1)：5-8,4.DOI:10.3969/j.issn.1006-1037.2017.02.02
推广的Dirac方程族及其可积性
A Generalized Dirac Soliton Hierarchy Associated with so(3,R) and its Hamiltonian Structures
摘要
Abstract
Searching for a new soliton hierarchy is a very important and interesting subject in soliton theory.Tu-model is a simple and effective method to construct integrable soliton hierarchy with Hamilton structure.A new matrix spectral problem is presented, based on the three-dimensional real special orthogonal Lie algebra so(3,R).A generalized Dirac soliton hierarchy is generated by Tu-model and its soliton hierarchy possesses Hamilton structure.关键词
李代数/Dirac方程族/哈密顿结构/谱问题Key words
Lie algebra/Dirac soliton hierarchy/Hamiltonian structure/spectral problem分类
数理科学引用本文复制引用
王文媛,张亭亭,张辉群..推广的Dirac方程族及其可积性[J].青岛大学学报（自然科学版）,2017,30(1):5-8,4.基金项目
国家自然科学基金(批准号:11571201)资助 （批准号:11571201）
山东省自然科学基金(批准号:ZR2015FM023)资助. （批准号:ZR2015FM023）
