Dispersionless bigraded Toda Hierarchy and its additional symmetry

Dispersionless bigraded Toda Hierarchy and its additional symmetry
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DOI：
10.1142/s0129055x12300038
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发表时间：
2012-02
期刊：
arXiv: Exactly Solvable and Integrable Systems
影响因子：
--
通讯作者：
Chuanzhong Li;Jingsong He
Chuanzhong Li;Jingsong He
中科院分区：
其他
文献类型：
--
作者：
Chuanzhong Li;Jingsong He

文献摘要

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本文首先给出了无扩散双分次户田族（dBTH）的定义，并介绍了关于dBTH的Sato理论.然后定义了Orlov-Schulman的$\M_L$，$\M_R$算子，并给出了dBTH的附加块对称性。同时给出了dBTH的τ函数及相关的无色散双线性方程。
In this paper, we firstly give the definition of dipersionless bigraded Toda hierarchy (dBTH) and introduce some Sato theory on dBTH. Then we define Orlov-Schulman's $\M_L$, $\M_R$ operator and give the additional Block symmetry of dBTH. Meanwhile we give tau function of dBTH and some some related dipersionless bilinear equations.