On Addition Formulae of KP, mKP and BKP Hierarchies

Symmetry Integrability and Geometry-Methods and Applications

article

Yoko Shigyo¹ 

[1] Department of Mathematics, Tsuda College

关键词: KP hierarchy;    modified KP hierarchy;    BKP hierarchy;   

DOI  :  10.3842/SIGMA.2013.035

来源: National Academy of Science of Ukraine

【 摘 要 】

In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and the mKP hierarchies those results had previously been proved by Noumi, Takasaki and Takebe by way of wave functions. Here we give alternative and direct proofs for the case of the KP and mKP hierarchies. Our method can equally be applied to the BKP hierarchy.

【 授权许可】

Unknown