The applications of the gauge transformation for the BKP hierarchy

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Cheng, Jipeng¹  He, Jingsong² 

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

关键词: Gauge transformation;    The BKP hierarchy;    Pfaffian;    Fay-like identity;    Additional symmetry;   

DOI  :  10.1016/j.jmaa.2013.09.012

来源: Elsevier

【 摘 要 】

In this paper, we investigated four applications of the gauge transformation for the BKP hierarchy. Firstly, it is found that the orbit of the gauge transformation for the constrained BKP hierarchy defines a special (2 + 1)-dimensional Toda lattice equation structure. Then the tau function of the BKP hierarchy generated by the gauge transformation is shown to be the Pfaffian. And the higher Fay-like identities for the BKP hierarchy is also obtained through the gauge transformation. At last, the compatibility between the additional symmetry and the gauge transformation of the BKP hierarchy is proven. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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