Addition Formulae of Discrete KP,q-KP and Two-Component BKP Systems

In this paper,we construct the addition formulae for several integrable hierarchies,including the discrete KP,the q-deformed KP,the two-component BKP and the D type Drinfeld–Sokolov hierarchies.With the help of the Hirota bilinear equations and τ functions of different kinds of KP hierarchies,we pro...

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Published inCommunications in theoretical physics Vol. 65; no. 4; pp. 410 - 422
Main Author 高旭 李传忠 贺劲松
Format Journal Article
LanguageEnglish
Published 01.04.2016
Subjects
Construction
Equivalence
Formulas (mathematics)
Hierarchies
KP系统
Mathematical analysis
Theoretical physics
分量
加法公式
双线性方程
可积模型
可积系统
层次结构
离散
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ISSN0253-6102
1572-9494
DOI10.1088/0253-6102/65/4/410

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Summary:In this paper,we construct the addition formulae for several integrable hierarchies,including the discrete KP,the q-deformed KP,the two-component BKP and the D type Drinfeld–Sokolov hierarchies.With the help of the Hirota bilinear equations and τ functions of different kinds of KP hierarchies,we prove that these addition formulae are equivalent to these hierarchies.These studies show that the addition formula in the research of the integrable systems has good universality.
Bibliography:the discrete KP hierarchy the q-deformed KP hierarchy the two-component BKP hierarchy D type Drinfeld–Sokolov hierarchy addition formula Hirota bilinear equations τ function
11-2592/O3
In this paper,we construct the addition formulae for several integrable hierarchies,including the discrete KP,the q-deformed KP,the two-component BKP and the D type Drinfeld–Sokolov hierarchies.With the help of the Hirota bilinear equations and τ functions of different kinds of KP hierarchies,we prove that these addition formulae are equivalent to these hierarchies.These studies show that the addition formula in the research of the integrable systems has good universality.
Xu Gao, Chuan-Zhong Li,Jing-Song He （ Department of Mathematics, Ningbo University, Ningbo 315211, China）
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ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/65/4/410