1

Cluster mutation-periodic quivers and associated Laurent sequences

Allan P. Fordy, Robert J. Marsh
Journal:
Journal of Algebraic Combinatorics
Year:
2011
Language:
english
File:
PDF, 1.39 MB
english, 2011
3

Discrete Integrable Systems and Poisson Algebras From Cluster Maps

Fordy, Allan P., Hone, Andrew
Journal:
Communications in Mathematical Physics
Year:
2014
Language:
english
File:
PDF, 709 KB
english, 2014
4

Factorization of operators I. Miura transformations

Fordy, Allan P., Gibbons, John
Journal:
Journal of Mathematical Physics
Year:
1980
Language:
english
File:
PDF, 386 KB
english, 1980
5

Nonlinear Schrödinger equations and simple Lie algebras

Allan P. Fordy, Peter P. Kulish
Journal:
Communications in Mathematical Physics
Year:
1983
Language:
english
File:
PDF, 1.02 MB
english, 1983
6

The Hénon-Heiles system revisited

Allan P. Fordy
Journal:
Physica D: Nonlinear Phenomena
Year:
1991
Language:
english
File:
PDF, 261 KB
english, 1991
7

Hamiltonian symmetries of the Henon-Heiles system

Allan P. Fordy
Journal:
Physics Letters A
Year:
1983
Language:
english
File:
PDF, 229 KB
english, 1983
8

Classical and Quantum Super-Integrability: From Lissajous Figures to Exact Solvability

Fordy, Allan P.
Journal:
Physics of Atomic Nuclei
Year:
2018
Language:
english
File:
PDF, 806 KB
english, 2018
9

Multicomponent Schwarzian KdV hierarchies

Antonowicz, Marek, Fordy, Allan P.
Journal:
Reports on Mathematical Physics
Year:
1993
Language:
english
File:
PDF, 494 KB
english, 1993
10

Periodic cluster mutations and related integrable maps

Fordy, Allan P
Journal:
Journal of Physics A Mathematical and Theoretical
Year:
2014
Language:
english
File:
PDF, 418 KB
english, 2014
11

First integrals from conformal symmetries: Darboux–Koenigs metrics and beyond

Fordy, Allan P.
Journal:
Journal of Geometry and Physics
Year:
2019
Language:
english
File:
PDF, 329 KB
english, 2019
12

A tri-Hamiltonian formulation of the self-induced transparency equations

Allan P. Fordy, Darryl D. Holm
Journal:
Physics Letters A
Year:
1991
Language:
english
File:
PDF, 335 KB
english, 1991
14

Some remarkable nonlinear transformations

Allan P. Fordy, John Gibbons
Journal:
Physics Letters A
Year:
1980
Language:
english
File:
PDF, 71 KB
english, 1980
16

Super-extensions of energy dependent Schrödinger operators

Marek Antonowicz, Allan P. Fordy
Journal:
Communications in Mathematical Physics
Year:
1989
Language:
english
File:
PDF, 742 KB
english, 1989
17

Coupled KdV equations with multi-Hamiltonian structures

Marek Antonowicz, Allan P. Fordy
Journal:
Physica D: Nonlinear Phenomena
Year:
1987
Language:
english
File:
PDF, 543 KB
english, 1987
18

On the integrability of a system of coupled KdV equations

Roger Dodd, Allan Fordy
Journal:
Physics Letters A
Year:
1982
Language:
english
File:
PDF, 139 KB
english, 1982
20

Analysing negative resonances in the Painlevé test

Allan Fordy, Andrew Pickering
Journal:
Physics Letters A
Year:
1991
Language:
english
File:
PDF, 664 KB
english, 1991
21

A note on some superintegrable Hamiltonian systems

Fordy, Allan
Journal:
Journal of Geometry and Physics
Year:
2016
Language:
english
File:
PDF, 245 KB
english, 2016
22

Integrable nonlinear Klein-Gordon equations and Toda lattices

Allan P. Fordy, John Gibbons
Journal:
Communications in Mathematical Physics
Year:
1980
Language:
english
File:
PDF, 491 KB
english, 1980
23

A Kaluza–Klein reduction of super-integrable systems

Fordy, Allan P.
Journal:
Journal of Geometry and Physics
Year:
2018
Language:
english
File:
PDF, 304 KB
english, 2018
24

Recursive procedures for Krall-Sheffer operators

Fordy, Allan P., Scott, Michael J.
Journal:
Journal of Mathematical Physics
Year:
2013
Language:
english
File:
PDF, 524 KB
english, 2013
26

Eisenhart lift of 2-dimensional mechanics

Fordy, Allan P., Galajinsky, Anton
Journal:
The European Physical Journal C
Year:
2019
Language:
english
File:
PDF, 357 KB
english, 2019
28

Editors' note

Alan R. Bishop, Charles R. Doering, Allan P. Fordy
Journal:
Physics Letters A
Year:
1994
Language:
english
File:
PDF, 54 KB
english, 1994
29

Integrable stationary flows: Miura maps and bi-hamiltonian structures

Marek Antonowicz, Allan P. Fordy, Stefan Wojciechowski
Journal:
Physics Letters A
Year:
1987
Language:
english
File:
PDF, 459 KB
english, 1987
30

Nonlinear evolution equations and their stationary reductions

Allan P. Fordy, Simon Harris
Journal:
Journal of Mathematical Sciences
Year:
1999
Language:
english
File:
PDF, 559 KB
english, 1999
32

Editor's note

Alan Bishop, Allan Fordy, Darryl Holm
Journal:
Physics Letters A
Year:
1986
Language:
english
File:
PDF, 42 KB
english, 1986
33

On a special class of compatible Poisson structures of hydrodynamic type

Allan P. Fordy, Oleg I. Mokhov
Journal:
Physica D: Nonlinear Phenomena
Year:
2001
Language:
english
File:
PDF, 136 KB
english, 2001
34

Stationary flows: Hamiltonian structures and canonical transformations

Allan P. Fordy
Journal:
Physica D: Nonlinear Phenomena
Year:
1995
Language:
english
File:
PDF, 522 KB
english, 1995
36

A family of integrable quartic potentials related to symmetric spaces

Allan Fordy, Stefan Wojciechoski, Ian Marshall
Journal:
Physics Letters A
Year:
1986
Language:
english
File:
PDF, 337 KB
english, 1986
37

A family of completely integrable multi-hamiltonian systems

Marek Antonowicz, Allan P. Fordy
Journal:
Physics Letters A
Year:
1987
Language:
english
File:
PDF, 334 KB
english, 1987
39

Factorization of operators.II

Fordy, Allan P.
Journal:
Journal of Mathematical Physics
Year:
1981
Language:
english
File:
PDF, 545 KB
english, 1981
40

Symplectic Maps from Cluster Algebras

Fordy, Allan P.
Journal:
Symmetry Integrability and Geometry Methods and Applications
Year:
2011
Language:
english
File:
PDF, 337 KB
english, 2011
41

Multidimensional maps of QRT type

Fordy, Allan P, Kassotakis, Pavlos G
Journal:
Journal of Physics A: Mathematical and General Physics
Year:
2006
Language:
english
File:
PDF, 172 KB
english, 2006