62 citations · 279 across the 22 of their papers we have counts for
24 papers
Scaling Symmetry Reductions of Coupled KdV Systems
Allan P Fordy
In this paper we discuss the Painlevé reductions of coupled KdV systems. We start by comparing the procedure with that of {\em stationary reductions}. Indeed, we see that exactly t…
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…
The Role of Commuting Operators in Quantum Superintegrable Systems
Allan P. Fordy
We discuss the role of commuting operators for quantum superintegrable systems, showing how they are used to build eigenfunctions. These ideas are illustrated in the context of res…