Nonlinear Schrödinger equations and simple Lie algebras. Zbl 0563.35062
Fordy, Allan P.; Kulish, Peter P. |
|
1983
|
Coupled KdV equations with multi-Hamiltonian structures. Zbl 0638.35079
Antonowicz, Marek; Fordy, Allan P. |
|
1987
|
The Hénon-Heiles system revisited. Zbl 0753.35102
Fordy, Allan P. |
|
1991
|
Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems. Zbl 0696.35172
Antonowicz, Marek; Fordy, Allan P. |
|
1989
|
Integrable nonlinear Klein-Gordon equations and Toda lattices. Zbl 0456.35080
Fordy, Allan P.; Gibbons, John |
|
1980
|
Factorization of operators. I: Miura transformations. Zbl 0456.35079
Fordy, Allan P.; Gibbons, John |
|
1980
|
Generalized KdV and MKdV equations associated with symmetric spaces. Zbl 0642.58034
Athorne, Chris; Fordy, Allan |
|
1987
|
A perturbative Painlevé approach to nonlinear differential equations. Zbl 0794.34011
Conte, Robert; Fordy, Allan P.; Pickering, Andrew |
|
1993
|
Coupled Harry Dym equations with multi-Hamiltonian structures. Zbl 0673.35088
Antonowicz, Marek; Fordy, Allan P. |
|
1988
|
Factorization of operators. II. Zbl 0476.35068
Fordy, Allan P.; Gibbons, John |
|
1981
|
Derivative nonlinear Schrödinger equations and Hermitian symmetric spaces. Zbl 0575.35081
Fordy, Allan P. |
|
1984
|
Cluster mutation-periodic quivers and associated Laurent sequences. Zbl 1272.13020
Fordy, Allan P.; Marsh, Robert J. |
|
2011
|
Discrete integrable systems and Poisson algebras from cluster maps. Zbl 1344.37076
Fordy, Allan P.; Hone, Andrew |
|
2014
|
The prolongation structures of quasi-polynomial flows. Zbl 0542.35069
Dodd, R.; Fordy, A. |
|
1983
|
Separable Hamiltonians and integrable systems of hydrodynamic type. Zbl 0865.58018
Ferapontov, E. V.; Fordy, A. P. |
|
1997
|
Integrable quartic potentials and coupled KdV equations. Zbl 1020.37522
Baker, S.; Ènol’skiĭ, V. Z.; Fordy, A. P. |
|
1995
|
\(\mathbb Z_N\) graded discrete Lax pairs and integrable difference equations. Zbl 1367.37055
Fordy, Allan P.; Xenitidis, Pavlos |
|
2017
|
Integrable equations in \((2+1)\) dimensions associated with symmetric and homogeneous spaces. Zbl 0663.58017
Athorne, Chris; Fordy, Allan |
|
1987
|
Quantum super-integrable systems as exactly solvable models. Zbl 1136.81027
Fordy, Allan P. |
|
2007
|
Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term. Zbl 0933.37061
Ferapontov, E. V.; Fordy, A. P. |
|
1997
|
Soliton theory: a survey of results. Zbl 0697.35126
|
|
1989
|
Energy-dependent third-order Lax operators. Zbl 0739.58052
Antonowicz, M.; Fordy, A. P.; Liu, Q. P. |
|
1991
|
Symplectic maps from cluster algebras. Zbl 1252.37058
Fordy, Allan P.; Hone, Andrew |
|
2011
|
Mutation-periodic quivers, integrable maps and associated Poisson algebras. Zbl 1219.17020
Fordy, Allan P. |
|
2011
|
Classical r-matrices and compatible Poisson brackets for coupled KdV systems. Zbl 0699.58043
Fordy, A. P.; Reyman, A. G.; Semenov-Tian-Shansky, Michael A. |
|
1989
|
Commuting quadratic Hamiltonians with velocity dependent potentials. Zbl 0956.37044
Ferapontov, E. V.; Fordy, A. P. |
|
1999
|
Multidimensional maps of QRT type. Zbl 1116.37037
Fordy, Allan P.; Kassotakis, Pavlos G. |
|
2006
|
Superintegrable systems on 3 dimensional conformally flat spaces. Zbl 1466.37048
Fordy, Allan P.; Huang, Qing |
|
2020
|
Harmonic maps and integrable systems. Based on conference, held at Leeds, GB, May 1992. Zbl 0788.00063
|
|
1994
|
Prolongation structures of complex quasi-polynomial evolution equations. Zbl 0575.35082
Dodd, Roger K.; Fordy, Allan P. |
|
1984
|
Hamiltonian operators and Miura maps from Lax operators: Energy dependent Schrödinger operators and their super extensions. Zbl 0726.35103
Antonowicz, M.; Fordy, A. P. |
|
1990
|
Super-extensions of energy dependent Schrödinger operators. Zbl 0702.35217
Antonowicz, Marek; Fordy, Allan P. |
|
1989
|
Nonlinear Klein-Gordon equations and simple Lie algebras. Zbl 0542.35071
Fordy, A. P.; Gibbons, J. |
|
1983
|
Generalised Darboux-Koenigs metrics and 3-dimensional superintegrable systems. Zbl 1420.37038
Fordy, Allan P.; Huang, Qing |
|
2019
|
First integrals from conformal symmetries: Darboux-Koenigs metrics and beyond. Zbl 1430.37063
Fordy, Allan P. |
|
2019
|
Periodic cluster mutations and related integrable maps. Zbl 1318.37015
Fordy, Allan P. |
|
2014
|
A note on some superintegrable Hamiltonian systems. Zbl 1388.37066
Fordy, Allan P. |
|
2017
|
Integrable symplectic maps. Zbl 0923.58021
Fordy, A. P. |
|
1999
|
Nonlinear evolution equations: integrability and spectral methods. Selection of articles presented at a workshop held at Como, Italy, 4-15 July 1988. Zbl 0703.00014
|
|
1990
|
A historical introduction to solitons and Bäcklund transformations. Zbl 0810.35101
Fordy, A. P. |
|
1994
|
\(\mathbb Z_N\) graded discrete Lax pairs and Yang-Baxter maps. Zbl 1404.39014
Fordy, Allan P.; Xenitidis, Pavlos |
|
2017
|
Integrable maps which preserve functions with symmetries. Zbl 1277.37085
Fordy, Allan P.; Kassotakis, Pavlos |
|
2013
|
Factorization and Poisson correspondences. Zbl 0865.58029
Fordy, A. P.; Shabat, A. B.; Veselov, A. P. |
|
1995
|
A perturbative extension of the Painlevé test. Zbl 0786.35111
Conte, R.; Fordy, A. P.; Pickering, A. |
|
1993
|
Stationary flows: Hamiltonian structures and canonical transformations. Zbl 1194.35020
Fordy, Allan P. |
|
1995
|
Poisson algebras and 3D superintegrable Hamiltonian systems. Zbl 1416.17011
Fordy, Allan P.; Huang, Qing |
|
2018
|
Hamiltonian flows on stationary manifolds. Zbl 0897.58021
Fordy, Allan P.; Harris, Simon D. |
|
1997
|
Recursive procedures for Krall-Sheffer operators. Zbl 1302.42037
Fordy, Allan P.; Scott, Michael J. |
|
2013
|
Symmetries of \(\mathbb{Z}_N\) graded discrete integrable systems. Zbl 1514.39009
Fordy, Allan P.; Xenitidis, Pavlos |
|
2020
|
The role of commuting operators in quantum superintegrable systems. Zbl 1519.81261
Fordy, Allan P. |
|
2020
|
Stationary flows revisited. Zbl 1514.35349
Fordy, Allan P.; Huang, Qing |
|
2023
|
On a special class of compatible Poisson structures of hydrodynamic type. Zbl 0988.37082
Fordy, Allan P.; Mokhov, Oleg I. |
|
2001
|
Projective representations and deformations of integrable systems. Zbl 0554.35105
Fordy, A. P. |
|
1983
|
Isospectral flows: Their Hamiltonian structures, Miura maps and master symmetries. Zbl 0707.35135
Fordy, Allan P. |
|
1990
|
Higher-spin fields in a curved space-time. Zbl 0413.53022
Fordy, A. P. |
|
1978
|
Self-dual systems, their symmetries and reductions to the Bogoyavlensky lattice. Zbl 1370.37131
Fordy, Allan P.; Xenitidis, Pavlos |
|
2017
|
Integrable and superintegrable extensions of the rational Calogero-Moser model in three dimensions. Zbl 1506.70019
Fordy, Allan P.; Huang, Qing |
|
2022
|
Symmetries, ladder operators and quantum integrable systems. Zbl 1080.53074
Fordy, A. P. |
|
2005
|
Hamiltonian structures, master symmetries and Miura maps of integrable nonlinear evolution equations. Zbl 0747.35025
Fordy, Allan P. |
|
1990
|
Proceedings of the 12th international workshop on nonlinear evolution equations and dynamical systems (NEEDS ’98), Leeds, UK, June 21–28, 1998. Transl. from the Russian. Zbl 0954.00033
|
|
2000
|
A Kaluza-Klein reduction of super-integrable systems. Zbl 1396.70018
Fordy, Allan P. |
|
2018
|
Generalising Painlevé truncation: Expansions in Riccati pseudopotentials. Zbl 0927.35112
Fordy, A. P.; Pickering, A. |
|
1999
|
Hamiltonian structures in stationary manifold coordinates. Zbl 0864.35094
Fordy, Allan P.; Harris, Simon D. |
|
1997
|
Multicomponent Schwarzian KdV hierarchies. Zbl 0804.35117
Antonowicz, Marek; Fordy, Allan P. |
|
1993
|
Zero-rest-mass fields in an algebraically special curved space-time. Zbl 0453.53007
Fordy, A. P. |
|
1977
|
Darboux related quantum integrable systems on a constant curvature surface. Zbl 1095.53027
Fordy, A. P. |
|
2006
|
Stationary flows revisited. Zbl 1514.35349
Fordy, Allan P.; Huang, Qing |
|
2023
|
Integrable and superintegrable extensions of the rational Calogero-Moser model in three dimensions. Zbl 1506.70019
Fordy, Allan P.; Huang, Qing |
|
2022
|
Superintegrable systems on 3 dimensional conformally flat spaces. Zbl 1466.37048
Fordy, Allan P.; Huang, Qing |
|
2020
|
Symmetries of \(\mathbb{Z}_N\) graded discrete integrable systems. Zbl 1514.39009
Fordy, Allan P.; Xenitidis, Pavlos |
|
2020
|
The role of commuting operators in quantum superintegrable systems. Zbl 1519.81261
Fordy, Allan P. |
|
2020
|
Generalised Darboux-Koenigs metrics and 3-dimensional superintegrable systems. Zbl 1420.37038
Fordy, Allan P.; Huang, Qing |
|
2019
|
First integrals from conformal symmetries: Darboux-Koenigs metrics and beyond. Zbl 1430.37063
Fordy, Allan P. |
|
2019
|
Poisson algebras and 3D superintegrable Hamiltonian systems. Zbl 1416.17011
Fordy, Allan P.; Huang, Qing |
|
2018
|
A Kaluza-Klein reduction of super-integrable systems. Zbl 1396.70018
Fordy, Allan P. |
|
2018
|
\(\mathbb Z_N\) graded discrete Lax pairs and integrable difference equations. Zbl 1367.37055
Fordy, Allan P.; Xenitidis, Pavlos |
|
2017
|
A note on some superintegrable Hamiltonian systems. Zbl 1388.37066
Fordy, Allan P. |
|
2017
|
\(\mathbb Z_N\) graded discrete Lax pairs and Yang-Baxter maps. Zbl 1404.39014
Fordy, Allan P.; Xenitidis, Pavlos |
|
2017
|
Self-dual systems, their symmetries and reductions to the Bogoyavlensky lattice. Zbl 1370.37131
Fordy, Allan P.; Xenitidis, Pavlos |
|
2017
|
Discrete integrable systems and Poisson algebras from cluster maps. Zbl 1344.37076
Fordy, Allan P.; Hone, Andrew |
|
2014
|
Periodic cluster mutations and related integrable maps. Zbl 1318.37015
Fordy, Allan P. |
|
2014
|
Integrable maps which preserve functions with symmetries. Zbl 1277.37085
Fordy, Allan P.; Kassotakis, Pavlos |
|
2013
|
Recursive procedures for Krall-Sheffer operators. Zbl 1302.42037
Fordy, Allan P.; Scott, Michael J. |
|
2013
|
Cluster mutation-periodic quivers and associated Laurent sequences. Zbl 1272.13020
Fordy, Allan P.; Marsh, Robert J. |
|
2011
|
Symplectic maps from cluster algebras. Zbl 1252.37058
Fordy, Allan P.; Hone, Andrew |
|
2011
|
Mutation-periodic quivers, integrable maps and associated Poisson algebras. Zbl 1219.17020
Fordy, Allan P. |
|
2011
|
Quantum super-integrable systems as exactly solvable models. Zbl 1136.81027
Fordy, Allan P. |
|
2007
|
Multidimensional maps of QRT type. Zbl 1116.37037
Fordy, Allan P.; Kassotakis, Pavlos G. |
|
2006
|
Darboux related quantum integrable systems on a constant curvature surface. Zbl 1095.53027
Fordy, A. P. |
|
2006
|
Symmetries, ladder operators and quantum integrable systems. Zbl 1080.53074
Fordy, A. P. |
|
2005
|
On a special class of compatible Poisson structures of hydrodynamic type. Zbl 0988.37082
Fordy, Allan P.; Mokhov, Oleg I. |
|
2001
|
Proceedings of the 12th international workshop on nonlinear evolution equations and dynamical systems (NEEDS ’98), Leeds, UK, June 21–28, 1998. Transl. from the Russian. Zbl 0954.00033
|
|
2000
|
Commuting quadratic Hamiltonians with velocity dependent potentials. Zbl 0956.37044
Ferapontov, E. V.; Fordy, A. P. |
|
1999
|
Integrable symplectic maps. Zbl 0923.58021
Fordy, A. P. |
|
1999
|
Generalising Painlevé truncation: Expansions in Riccati pseudopotentials. Zbl 0927.35112
Fordy, A. P.; Pickering, A. |
|
1999
|
Separable Hamiltonians and integrable systems of hydrodynamic type. Zbl 0865.58018
Ferapontov, E. V.; Fordy, A. P. |
|
1997
|
Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term. Zbl 0933.37061
Ferapontov, E. V.; Fordy, A. P. |
|
1997
|
Hamiltonian flows on stationary manifolds. Zbl 0897.58021
Fordy, Allan P.; Harris, Simon D. |
|
1997
|
Hamiltonian structures in stationary manifold coordinates. Zbl 0864.35094
Fordy, Allan P.; Harris, Simon D. |
|
1997
|
Integrable quartic potentials and coupled KdV equations. Zbl 1020.37522
Baker, S.; Ènol’skiĭ, V. Z.; Fordy, A. P. |
|
1995
|
Factorization and Poisson correspondences. Zbl 0865.58029
Fordy, A. P.; Shabat, A. B.; Veselov, A. P. |
|
1995
|
Stationary flows: Hamiltonian structures and canonical transformations. Zbl 1194.35020
Fordy, Allan P. |
|
1995
|
Harmonic maps and integrable systems. Based on conference, held at Leeds, GB, May 1992. Zbl 0788.00063
|
|
1994
|
A historical introduction to solitons and Bäcklund transformations. Zbl 0810.35101
Fordy, A. P. |
|
1994
|
A perturbative Painlevé approach to nonlinear differential equations. Zbl 0794.34011
Conte, Robert; Fordy, Allan P.; Pickering, Andrew |
|
1993
|
A perturbative extension of the Painlevé test. Zbl 0786.35111
Conte, R.; Fordy, A. P.; Pickering, A. |
|
1993
|
Multicomponent Schwarzian KdV hierarchies. Zbl 0804.35117
Antonowicz, Marek; Fordy, Allan P. |
|
1993
|
The Hénon-Heiles system revisited. Zbl 0753.35102
Fordy, Allan P. |
|
1991
|
Energy-dependent third-order Lax operators. Zbl 0739.58052
Antonowicz, M.; Fordy, A. P.; Liu, Q. P. |
|
1991
|
Hamiltonian operators and Miura maps from Lax operators: Energy dependent Schrödinger operators and their super extensions. Zbl 0726.35103
Antonowicz, M.; Fordy, A. P. |
|
1990
|
Nonlinear evolution equations: integrability and spectral methods. Selection of articles presented at a workshop held at Como, Italy, 4-15 July 1988. Zbl 0703.00014
|
|
1990
|
Isospectral flows: Their Hamiltonian structures, Miura maps and master symmetries. Zbl 0707.35135
Fordy, Allan P. |
|
1990
|
Hamiltonian structures, master symmetries and Miura maps of integrable nonlinear evolution equations. Zbl 0747.35025
Fordy, Allan P. |
|
1990
|
Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems. Zbl 0696.35172
Antonowicz, Marek; Fordy, Allan P. |
|
1989
|
Soliton theory: a survey of results. Zbl 0697.35126
|
|
1989
|
Classical r-matrices and compatible Poisson brackets for coupled KdV systems. Zbl 0699.58043
Fordy, A. P.; Reyman, A. G.; Semenov-Tian-Shansky, Michael A. |
|
1989
|
Super-extensions of energy dependent Schrödinger operators. Zbl 0702.35217
Antonowicz, Marek; Fordy, Allan P. |
|
1989
|
Coupled Harry Dym equations with multi-Hamiltonian structures. Zbl 0673.35088
Antonowicz, Marek; Fordy, Allan P. |
|
1988
|
Coupled KdV equations with multi-Hamiltonian structures. Zbl 0638.35079
Antonowicz, Marek; Fordy, Allan P. |
|
1987
|
Generalized KdV and MKdV equations associated with symmetric spaces. Zbl 0642.58034
Athorne, Chris; Fordy, Allan |
|
1987
|
Integrable equations in \((2+1)\) dimensions associated with symmetric and homogeneous spaces. Zbl 0663.58017
Athorne, Chris; Fordy, Allan |
|
1987
|
Derivative nonlinear Schrödinger equations and Hermitian symmetric spaces. Zbl 0575.35081
Fordy, Allan P. |
|
1984
|
Prolongation structures of complex quasi-polynomial evolution equations. Zbl 0575.35082
Dodd, Roger K.; Fordy, Allan P. |
|
1984
|
Nonlinear Schrödinger equations and simple Lie algebras. Zbl 0563.35062
Fordy, Allan P.; Kulish, Peter P. |
|
1983
|
The prolongation structures of quasi-polynomial flows. Zbl 0542.35069
Dodd, R.; Fordy, A. |
|
1983
|
Nonlinear Klein-Gordon equations and simple Lie algebras. Zbl 0542.35071
Fordy, A. P.; Gibbons, J. |
|
1983
|
Projective representations and deformations of integrable systems. Zbl 0554.35105
Fordy, A. P. |
|
1983
|
Factorization of operators. II. Zbl 0476.35068
Fordy, Allan P.; Gibbons, John |
|
1981
|
Integrable nonlinear Klein-Gordon equations and Toda lattices. Zbl 0456.35080
Fordy, Allan P.; Gibbons, John |
|
1980
|
Factorization of operators. I: Miura transformations. Zbl 0456.35079
Fordy, Allan P.; Gibbons, John |
|
1980
|
Higher-spin fields in a curved space-time. Zbl 0413.53022
Fordy, A. P. |
|
1978
|
Zero-rest-mass fields in an algebraically special curved space-time. Zbl 0453.53007
Fordy, A. P. |
|
1977
|