4 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…
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…