Discrete symmetries, Darboux transformation, and exact solutions of the Wess-Zumino-Novikov-Witten model

被引：0
|
作者：
Gutshabash E.Sh. [1 ]
Kulish P.P. [2 ]
机构：
[1] Department of Physics, St. Petersburg State University, St. Petersburg
[2] St. Petersburg Department, Steklov Mathematical Institute, St. Petersburg
来源：
Journal of Mathematical Sciences | 2009年 / 158卷 / 6期
关键词：
Vortex; Exact Solution; Poisson Bracket; Central Extension; Mathematical Institute;
D O I：
10.1007/s10958-009-9420-4
中图分类号：
学科分类号：
摘要：
The matrix Darboux transformation is applied to an auxiliary problem of the classical Wess-Zumino-Novikov-Witten model. One- and two-soliton solutions are written explicitly, and a matrix expression for the N-soliton solution is given. Discrete symmetries of the WZNW model are analyzed, and a solution of the linearized equation of motion is obtained. © 2009 Springer Science+Business Media, Inc.
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页码：845 / 852
页数：7
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