Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (5): 1111-1121.doi: 10.1016/S0252-9602(15)30043-6

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THE INTEGRAL TYPE GAUGE TRANSFORMATION AND THE ADDITIONAL SYMMETRY FOR THE CONSTRAINED KP HIERARCHY

Jipeng CHENG1, Jingsong HE2   

  1. 1. Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, China;
    2. Department of Mathematics, Ningbo University, Ningbo 315211, China
  • Received:2014-01-08 Revised:2015-03-11 Online:2015-09-01 Published:2015-09-01
  • Contact: Jingsong HE E-mail:hejingsong@nbu.edu.cn
  • Supported by:

    This work is supported by the Fundamental Research Funds for the Central Universities (2015QNA43).

Abstract:

In this paper, the compatibility between the integral type gauge transformation and the additional symmetry of the constrained KP hierarchy is given. And the string-equation constraint in matrix models is also derived.

Key words: constrained KP hierarchy, integral type gauge transformation, additional symmetry

CLC Number: 

  • 35Q53
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