多分量AKNS方程的新可积分解(英文)  

New Integrable Decompositions of the Multi-component AKNS Equation

作　　者：王建新[1] 江莉[1] 张新丽[1] 

机构地区：[1]青岛科技大学数理学院,山东青岛266042

出　　处：《应用数学》2009年第3期457-462,共6页Mathematica Applicata

摘　　要：从一个任意阶矩阵谱问题出发,多分量AKNS方程的新可积分解被导出.通过利用迹恒等式建立了其双哈密顿结构.同时,证明了空间与时间的约束流在刘维尔意义下是两个完全可积的哈密顿系统.New integrable decompositions of the multi-component AKNS equation are derived from an arbitrary order matrix spectral problem.Its bi-Hamiltonian structures are constructed by using the trace identity.Moreover,it is shown that the spatial and temporal constrained flows are two completely integrable Hamiltonian systems in the sense of Liouville.

关 键 词：可积分解 哈密顿结构 多分量AKNS方程 Lax对的非线性化 

分 类 号：O175.29[理学—数学]