Darboux transformation is an efficient method for solving different nonlinear partial
differential equations. In this paper, on the basis of a Lie super-algebras, a generalized …

A class of Riemann–Hilbert problems on the real axis is formulated for solving the
multicomponent AKNS integrable hierarchies associated with a kind of bock matrix spectral …

Based on the constructed new Lie super-algebra from OSP (2, 2), the super bi-Hamiltonian
structure of a new super AKNS hierarchy is obtained by making use of super-trace identity …

We construct a class of extended Lie superalgebras, including a generalized Lie
superalgebra B (0, 1), a generalized Lie superalgebra spl (2, 1), a generalized Lie …

In the paper, based on the modified Riemann–Liouville fractional derivative and Tu scheme,
the fractional super NLS–MKdV hierarchy is derived, especially the self-consistent sources …

By applying Hamiltonian operators to gradients of spectral parameters, nonlocal symmetries
quadratically depending on eigenfunctions of linear spectral problems are constructed for …

We propose a method for generating higher-dimensional nonisospectral super integrable
coupling hierarchies associated with a new type of higher-dimensional Lie superalgebra. As …

This is an introductory report concerning our recent research on Hamiltonian structures. We
will discuss variational identities associated with continuous and discrete spectral problems …

Based on a class of extended Lie superalgebras that we constructed, we present a method
for generating 2+ 1 dimensional nonisospectral super integrable hierarchies. By considering …

By constructing a new type of multi-component Lie superalgebra sl (2N, 1), a method of
generation of multi-component super integrable hierarchies is proposed. We discuss two …