Hierarchy of (2+1)-dimensional nonlinear Schrodinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras

被引：17

作者：

Kakei, S

Ikeda, T

Takasaki, K

机构：

[1] Waseda Univ, Sch Sci & Engn, Dept Math Sci, Shinjyuku Ku, Tokyo 1698555, Japan

[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan

[3] Kyoto Univ, Fac Integrated Human Studies, Dept Fundamental Sci, Sakyo Ku, Kyoto 6068501, Japan

来源：

ANNALES HENRI POINCARE | 2002年 / 3卷 / 05期

关键词：

D O I：

10.1007/s00023-002-8638-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The hierarchy structure associated with a (2 + 1)-dimensional Nonlinear Schrodinger equation is discussed as an extension of the theory of the KP hierarchy. Several methods to construct special solutions are given. The relation between the hierarchy and a representation of toroidal Lie algebras are established by using the language of free fermions. A relation to the self-dual Yang-Mills equation is also discussed.

引用

页码：817 / 845

页数：29

共 41 条

[1] Irreducible representations for toroidal Lie algebras [J].