INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

被引：328

作者：

TAKASAKI, K ^{[1
]}

TAKEBE, T ^{[1
]}

机构：

[1] UNIV TOKYO,DEPT MATH SCI,BUNKYO KU,TOKYO 113,JAPAN

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 1995年 / 7卷 / 05期

关键词：

D O I：

10.1142/S0129055X9500030X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Analogues of the KP and the Toda lattice hierarchy called dispersionless KP and Toda hierarchy are studied. Dressing operations in the dispersionless hierarchies are introduced as a canonical transformation, quantization of which is dressing operators of the ordinary KP and Toda hierarchy. An alternative construction of general solutions of the ordinary KP and Toda hierarchy is given as twister construction which is quantization of the similar construction of solutions of dispersionless hierarchies. These results as well as those obtained in previous papers are presented with proofs and necessary technical details.

引用

页码：743 / 808

页数：66