22 citations · 24 across the 7 of their papers we have counts for
7 papers
Two new super integrable hierarchies and a generalized super-AKNS hierarchy
Yanhui Bi, Bo Yuan, Yuqi Ruan +1
In this paper, we investigate two non-isospectral problems on the loop algebra of the Lie superalgebra osp(1,6), and construct two super-integrable systems and their super Hamilton…
Soliton hierarchies associated with Lie algebra sp(6)
Yanhui Bi, Yuqi Ruan, Bo Yuan +1
In this paper, by selecting appropriate spectral matrices within the loop algebra of symplectic Lie algebra sp(6), we construct two distinct classes of integrable soliton hierarchi…
On (co-)morphisms of -Lie-Rinehart algebras with applications to Nambu-Poisson manifolds
Yanhui Bi, Zhixiong Chen, Tao Zhang
In this paper, we give a unified description of morphisms and comorphisms of -Lie-Rinehart algebras. We show that these morphisms and comorphisms can be regarded as two subalgeb…
Weak -Dirac manifolds
Yanhui Bi, Zhixiong Chen
In this paper, we introduce the notion of a weak -Dirac structure in , where . The weak -Lagrangian condition has more information…
Cohomology and crossed modules extension of Hom-Leibniz-Rinehart algebras
Yanhui Bi, Danlu Chen, Tao Zhang
In this paper, we introduce the concept of crossed module for Hom-Leibniz-Rinehart algebras. We study the cohomology and extension theory of Hom-Leibniz-Rinehart algebras. It is pr…
Higher omni-Lie algebroids
Yanhui Bi, Luca Vitagliano, Tao Zhang
We propose a definition of a "higher" version of the omni-Lie algebroid and study its isotropic and involutive subbundles. Our higher omni-Lie algebroid is to (multi)contact and re…
On higher analogues of Courant algebroids
Yanhui Bi, Yunhe Sheng
In this paper, we study the algebraic properties of the higher analogues of Courant algebroid structures on the direct sum bundle for an -dimensional mani…