Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR2k papers
- University of British ColumbiaCA1.9k papers
- McGill UniversityCA1.9k papers
- University of VictoriaCA1.8k papers
- University of California, Santa CruzUS1.7k papers
- Rutherford Appleton LaboratoryGB1.7k papers
- University of ManchesterGB1.7k papers
- Queen Mary University of LondonGB1.7k papers
- University of PisaIT1.6k papers
- University of EdinburghGB1.6k papers
- University of BirminghamGB1.6k papers
- Heidelberg UniversityDE1.6k papers
27 papers · 2 filters
Soliton surfaces associated with CP^{N-1} sigma models
A. M. Grundland, S. Post
Soliton surfaces associated with CP^{N-1} sigma models are constructed using the Generalized Weierstrass and the Fokas-Gel'fand formulas for immersion of 2D surfaces in Lie algebra…
Lie reduction and exact solutions of vorticity equation on rotating sphere
Alexander Bihlo, Roman O. Popovych
Following our paper [J. Math. Phys. 50 (2009) 123102], we systematically carry out Lie symmetry analysis for the barotropic vorticity equation on the rotating sphere. All finite-di…
Soliton surfaces associated with symmetries of ODEs written in Lax representation
A. M. Grundland, S. Post
The main aim of this paper is to discuss recent results on the adaptation of the Fokas-Gel'fand procedure for constructing soliton surfaces in Lie algebras, which was originally de…
Dual -1 Hahn polynomials and perfect state transfer
Luc Vinet, Alexei Zhedanov
We find all the spin chains with perfect state transfer (PST) that are connected with the dual -1 Hahn polynomials . For odd we recover a model that had alr…
Soliton surfaces via zero-curvature representation of differential equations
A. M. Grundland, S. Post
The main aim of this paper is to introduce a new version of the Fokas-Gel'fand formula for immersion of soliton surfaces in Lie algebras. The paper contains a detailed exposition o…
Squeezed coherent states and the one-dimensional Morse quantum system
M. Angelova, A. Hertz, V. Hussin
The Morse potential one-dimensional quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillato…
Symmetry Preserving Numerical Schemes for Partial Differential Equations and their Numerical Tests
Raphaël Rebelo, Francis Valiquette
The method of equivariant moving frames on multi-space is used to construct symmetry preserving finite difference schemes of partial differential equations invariant under finite-d…
Contact transformations for difference schemes
Decio Levi, Zora Thomova, Pavel Winternitz
We define a class of transformations of the dependent and independent variables in an ordinary difference scheme. The transformations leave the solution set of the system invariant…
Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer
Luc Vinet, Alexei Zhedanov
Analogs of Krawtchouk polynomials defined on a bi-lattice are introduced. They are shown to provide a (novel) spin chain with perfect transfer. Their characterization is given as w…
Solvable Lie algebras with Borel nilradicals
Libor Snobl, Pavel Winternitz
The present article is part of a research program the aim of which is to find all indecomposable solvable extensions of a given class of nilpotent Lie algebras. Specifically in thi…
d-Orthogonal polynomials and su(2)
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Two families of d-orthogonal polynomials related to su(2) are identified and studied. The algebraic setting allows their full characterization (explicit expressions, recurrence rel…
Centralizers of maximal regular subgroups in simple Lie groups and relative congruence classes of representations
M. Larouche, F. W. Lemire, J. Patera
In the paper we present a new, uniform and comprehensive description of centralizers of the maximal regular subgroups in compact simple Lie groups of all types and ranks. The centr…
A Proof of Selection Rules for Critical Dense Polymers
Alexi Morin-Duchesne
Among the lattice loop models defined by Pearce, Rasmussen and Zuber (2006), the model corresponding to critical dense polymers () is the only one for which an inversion rela…
An infinite family of superintegrable Hamiltonians with reflection in the plane
Sarah Post, Luc Vinet, Alexei Zhedanov
We introduce a new infinite class of superintegrable quantum systems in the plane. Their Hamiltonians involve reflection operators. The associated Schrödinger equations admit separ…
Supersymmetric Quantum Mechanics with Reflections
S. Post, L. Vinet, A. Zhedanov
We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Sc…
Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials
Hiroshi Miki, Luc Vinet, Alexei Zhedanov
A set of r non-Hermitian oscillator Hamiltonians in r dimensions is shown to be simultaneously diagonalizable. Their spectra is real and the common eigenstates are expressed in ter…
Complete group classification of a class of nonlinear wave equations
Alexander Bihlo, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 3…
Surfaces immersed in Lie algebras associated with elliptic integrals
A. M. Grundland, S. Post
The main aim of this paper is to study soliton surfaces immersed in Lie algebras associated with ordinary differential equations (ODE's) for elliptic functions. That is, given a li…
Riemann-Hilbert approach to multi-time processes; the Airy and the Pearcey case
M. Bertola, M. Cafasso
We prove that matrix Fredholm determinants related to multi-time processes can be expressed in terms of determinants of integrable kernels à la Its-Izergin-Korepin-Slavnov (IIKS) a…
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Sarah Post
In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set…
Soliton surfaces associated with generalize symmetries of integrable equations
A. M. Grundland, S. Post
In this paper, based on the Fokas, Gel'fand et al approach [15,16], we provide a symmetry characterization of continuous deformations of soliton surfaces immersed in a Lie algebra…
Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential
Véronique Hussin, Ian Marquette
We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is re…
Are there Contact Transformations for Discrete Equations?
Decio Levi, Zora Thomova, Pavel Winternitz
We define infinitesimal contact transformations for ordinary difference schemes as transformations that depend on lattice points and can be integrated to form a…
Symmetry group analysis of an ideal plastic flow
Vincent Lamothe
In this paper, we study the Lie point symmetry group of a system describing an ideal plastic plane flow in two dimensions in order to find analytical solutions. The infinitesimal g…