E. Sh. Gutshabash, P. P. Kulish, “Discrete symmetries, Darboux transformation, and exact solutions of the Wess–Zumino–Novikov–Witten model”, Zap. Nauchn. Sem. POMI, 2008, Volume 360,Pages <nobr>139

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

E. Sh. Gutshabash^a, P. P. Kulish^b

^a St. Petersburg State University, Faculty of Physics
^b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

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. Bibl. – 19 titles.

UDC: 517

Received: 12.11.2008