4 papers
Super integrable hierarchies associated with color Lie algebra
Bo Yuan, Yanhui Bi, Yuqi Ruan +1
In this paper, by considering two non-isospectral problems with matrices chosen on the color Lie algebra , we construct (1+1)-dimensional and (2+1)-dimensiona…
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…
Lyapunov stability and uniqueness problems for Hamilton-Jacobi equations without monotonicity
Yuqi Ruan, Kaizhi Wang, Jun Yan
We consider the evolutionary Hamilton-Jacobi equation \begin{align*} w_t(x,t)+H(x,Dw(x,t),w(x,t))=0, \quad(x,t)\in M\times [0,+\infty), \end{align*} where is a compact manifold…