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THE DETERMINANT REPRESENTATION OF THE GAUGE TRANSFORMATION OPERATORS
Authors:HE Jingsong  LI Yishen  CHENG Yi
Affiliation:Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.;Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.;Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.
Abstract:The determinant representation of the gauge transformation operators is establised. In this process, the generalized Wronskian determinant is introduced. As a simple application, the authors present a construction of the special T-function obtained firstly by Chau et al. (Commun. Math. Phys., 149(1992), 263), which involves the generalized Wronskian determinant. Also, some properties of this determinant are given.
Keywords:Gauge transformation   Determinant   KP hierarchy  
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