A class of higher-order matrix spectral problems is formulated and the associated integrable
hierarchies are generated via the zero-curvature formulation. The trace identity is used to …

In this paper, we implement the Hirota's bilinear method to extract diverse wave profiles to
the generalized perturbed-KdV equation when the test function approaches are taken into …

We aim to construct a Liouville integrable Hamiltonian hierarchy from a specific matrix
spectral problem with four potentials through the zero curvature formulation. The Liouville …

Two simultaneous nonlocal group constraints of the Ablowitz-Kaup-Newell-Segur matrix
eigenvalue problems are discussed, of which one constraint changes the eigenvalue …

Recently, two fourth-order integrable equations were established by Wazwaz using the
Boussinesq model. Tian and Zhang subsequently demonstrated that both equations are …

The paper aims to generate nonlocal integrable nonlinear Schrödinger hierarchies of type (−
λ, λ) by imposing two nonlocal matrix restrictions of the AKNS matrix characteristic-value …

In this paper, we present a modified version of the potential-KdV equation by adding a new
stochastic term. The new stochastic potential-KdV describes the propagation of nonlinear …

We present mixed-type reduced soliton hierarchies of nonlocal integrable nonlinear
Schrödinger equations of arbitrary even order by conducting two nonlocal group reductions …

We aim at presenting Liouville integrable Hamiltonian models with four dependent variables
from a specific matrix eigenvalue problem. The Liouville integrability of the resulting models …

This paper aims to propose a fourth-order matrix spectral problem involving four potentials
and generate an associated Liouville integrable hierarchy via the zero curvature formulation …