Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (1): 10-19.

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The Squared Eigenfunction Symmetries and Miura Transformations for the KP and mKP Hierarchies

Lumin Geng,Huizhan Chen,Na Li,Jipeng Cheng*   

  1. School of Mathematics, China University of Mining Technology, Jiangsu Xuzhou 221116
  • Received:2018-09-27 Online:2020-01-26 Published:2020-04-08
  • Contact: Jipeng Cheng
  • Supported by:
    中国博士后科学基金(2016M591949);江苏省博士后科学基金(1601213C)

Abstract:

In this paper, we discuss the relations of the squared eigenfunction symmetry and the Miura and auti-Miura transformations for the KP and mKP hierarchies and their constrained cases.

Key words: KP and mKP hierarchies, Constrained KP and constrained mKP hierarchies, Squared eigenfunction symmetry, Miura and auti-Miura transformations

CLC Number: 

  • O411.1
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