Jinbiao Wang

activity

20242026

collaborators

6 papers

nlin.SI2026

Tau functions of the constrained matrix KP hierarchy

Xiaohan Fan, Jipeng Cheng, Jinbiao Wang

The constrained matrix KP hierarchy $(L^{k})_{< 0} = \sum_{i = 1}^{m} Q_{i} \partial^{- 1} R_{i}^{⊺}$ is investigated from the aspects of tau functions. Firstly, the matrix KP hiera…

nlin.SI2025

Transformations of the 2-component BKP tau functions

Mengyao Chen, Jipeng Cheng, Jinbiao Wang

The 2-component BKP (2-BKP) hierarchy is an important integrable system corresponding to the infinite dimensional Lie algebras $b_{\infty}$ and $d_{\infty}$ , which contains Novikov…

nlin.SI2025

The two--component discrete KP hierarchy

Wenqi Cao, Jipeng Cheng, Jinbiao Wang

The discrete KP hierarchy is also known as the $(l - l^{'})$ --th modified KP hierarchy. Here in this paper, we consider the corresponding two--component generalization, called the two--…

nlin.SI2025

One reduction of the modified Toda hierarchy

Jinbiao Wang, Wenchuang Guan, Mengyao Chen +1

The modified Toda (mToda) hierarchy is a two-component generalization of the 1-st modified KP (mKP) hierarchy, which connects the Toda hierarchy via Miura links and has two tau fun…

nlin.SI2024

Lax formulation of 3--component KP hierarchy by Shiota construction

Tongtong Cui, Jinbiao Wang, Wenqi Cao +1

It is quite basic in integrable systems to deriving Lax equations from bilinear equations. For multi--component KP theory, corresponding Lax structures are mainly constructed by ma…

nlin.SI2024

Generalized Bigraded Toda Hierarchy

Yue Liu, Xingjie Yan, Jinbiao Wang +1

Bigraded Toda hierarchy $L_{1}^{M} (n) = L_{2}^{N} (n)$ is generalized to $L_{1}^{M} (n) = L_{2}^{N} (n) + \sum_{j \in Z} \sum_{i = 1}^{m} q_{n}^{(i)} Λ^{j} r_{n + 1}^{(i)}$ , which is the analogue of the famou…