Discrete symmetries,Darboux transformation,and exact solutions of the Wess–Zumino–Novikov–Witten model |
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| Authors: | E Sh Gutshabash P P Kulish |
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| Institution: | (1) Department of Physics, St. Petersburg State University, St. Petersburg, Russia;(2) St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia |
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| Abstract: | 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. Bibliography: 19 titles.
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 360, 2008, pp. 139–152. |
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