544 citations · 1.7k across the 32 of their papers we have counts for
32 papers
Rational Solutions of the Fifth Painlevé Equation. Generalised Laguerre Polynomials
Peter A. Clarkson, Clare Dunning
In this paper rational solutions of the fifth Painlevé equation are discussed. There are two classes of rational solutions of the fifth Painlevé equation, one expressed in terms of…
Geometric aspects of the ODE/IM correspondence
Patrick Dorey, Clare Dunning, Stefano Negro +1
This review describes a link between Lax operators, embedded surfaces and Thermodynamic Bethe Ansatz equations for integrable quantum field theories. This surprising connection bet…
Coefficients of Wronskian Hermite polynomials
Niels Bonneux, Clare Dunning, Marco Stevens
We study Wronskians of Hermite polynomials labelled by partitions and use the combinatorial concepts of cores and quotients to derive explicit expressions for their coefficients. T…
The asymmetric quantum Rabi model and generalised Pöschl-Teller potentials
Kai-Long Guan, Zi-Min Li, Clare Dunning +1
Starting with the Gaudin-like Bethe ansatz equations associated with the quasi-exactly solved (QES) exceptional points of the asymmetric quantum Rabi model (AQRM) a spectral equiva…
Bethe Ansatz equations for the classical affine Toda field theories
Panagiota Adamopoulou, Clare Dunning
We establish a correspondence between classical affine Toda field theories and Bethe Ansatz systems. We show that the connection coefficients relating specific so…
Quasi-exact solvability, resonances and trivial monodromy in ordinary differential equations
Patrick Dorey, Clare Dunning, Roberto Tateo
A correspondence between the sextic anharmonic oscillator and a pair of third-order ordinary differential equations is used to investigate the phenomenon of quasi-exact solvability…