AKNS族与Geng族的规范等价的约束流(英文)  

On Gauge Equivalent Constrained Flow for AKNS Hierarchy and Geng Hierarchy

作　　者：斯仁道尔吉[1] 

机构地区：[1]内蒙古师范大学数学系,中国内蒙古呼和浩特010022

出　　处：《数学进展》1999年第5期437-446,共10页Advances in Mathematics（China）

摘　　要：先由AKNS族出发用规范变换建立了Geng族的约束流及它的第一组守恒积分和Lax表示，再用其Lax表示建立了Geng族约束流的r-矩阵．并且还给出了Geng族约束流的第二组守恒积分及其对合性的证明．By using gauge transformaion, the constrained fiow for Geng hierarchy, its first set of conserved integrals and Lax representation are first construced from the AKNS hierarchy and then using the Lax representation we conatruct the r-matris for the constrained fiow of the Geng hierarchy The second set of conserved integrals of this constrained fiow and their involutivity are also presented in this paper.

关 键 词：约束流 AKNS族 Geng族 LAX表示 经典泊松结构 

分 类 号：O175.5[理学—数学]