13 citations · 55 across the 12 of their papers we have counts for
12 papers
Stationary Coupled KdV Hierarchies and Related Poisson Structures
Allan P. Fordy, Qing Huang
In this paper we continue our analysis of the stationary flows of component, coupled KdV (cKdV) hierarchies and their modifications. We describe the general structure of the $t…
Stationary Flows Revisited
Allan P. Fordy, Qing Huang
In this paper we revisit the subject of stationary flows of Lax hierarchies of a coupled KdV class. We explain the main ideas in the standard KdV case and then consider the dispers…
Integrable and Superintegrable Extensions of the Rational Calogero-Moser Model in 3 Dimensions
Allan P. Fordy, Qing Huang
We consider a class of Hamiltonian systems in 3 degrees of freedom, with a particular type of quadratic integral and which includes the rational Calogero-Moser system as a particul…
Adding Potentials to Superintegrable Systems with Symmetry
Allan P. Fordy, Qing Huang
In previous work, we have considered Hamiltonians associated with 3 dimensional conformally flat spaces, possessing 2, 3 and 4 dimensional isometry algebras. Previously our Hamilto…
Superintegrable Systems on 3 Dimensional Conformally Flat Spaces
Allan P. Fordy, Qing Huang
We consider Hamiltonians associated with 3 dimensional conformally flat spaces, possessing 2, 3 and 4 dimensional isometry algebras. We use the conformal algebra to build additiona…
Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems
Allan P. Fordy, Qing Huang
The Darboux-Koenigs metrics in 2D are an important class of conformally flat, non-constant curvature metrics with a single Killing vector and a pair of quadratic Killing tensors. I…
Poisson Algebras and 3D Superintegrable Hamiltonian Systems
Allan P. Fordy, Qing Huang
Using a Poisson bracket representation, in 3D, of the Lie algebra , we first use highest weight representations to embed this into larger Lie algebras. These are…
Functional partial canonical correlation
Qing Huang, Rosemary Renaut
A rigorous derivation is provided for canonical correlations and partial canonical correlations for certain Hilbert space indexed stochastic processes. The formulation relies on a…
On realizations of the Witt algebra in
Renat Zhdanov, Qing Huang
We obtain exhaustive classification of inequivalent realizations of the Witt and Virasoro algebras by Lie vector fields of differential operators in the space . Using…
On realizations of the Virasoro algebra
Renat Zhdanov, Qing Huang
We obtain complete classification of in-equivalent realizations of the Virasoro algebra by Lie vector fields over the three-dimensional field of real numbers. As an application we…
On contact symmetries of evolution equations
Qing Huang, Renat Zhdanov, Changzheng Qu
In this paper, we develop an algebraic approach to classifying contact symmetries of the second-order nonlinear evolution equations. Up to contact isomorphisms, all inequivalent PD…
Classification of classical and non-local symmetries of fourth-order nonlinear evolution equations
Qing Huang, C. Z. Qu, R. Zhdanov
In this paper, we consider group classification of local and quasi-local symmetries for a general fourth-order evolution equations in one spatial variable. Following the approach d…