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| THE DETERMINANT REPRESENTATION OF THE GAUGE TRANSFORMATION OPERATORS |
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Citation： |
HE Jingsong,LI Yishen,CHENG Yi.THE DETERMINANT REPRESENTATION OF THE GAUGE TRANSFORMATION OPERATORS[J].Chinese Annals of Mathematics B,2002,23(4):475~486 |
| Page view： 1513
Net amount： 1166 |
Authors： |
HE Jingsong; LI Yishen;CHENG Yi |
Foundation： |
Project supported by the State Education Commission, the 973 Project “Nonlinear Science” and the National Natural Science Foundation of China (No.9725104, No.19971084). |
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| 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 $\tau$-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 |
Classification： |
35Q51, 35Q55 |
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