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Fordy, Allan P.

Co-Author Distance
Author ID: fordy.allan-p Recent zbMATH articles by "Fordy, Allan P."
Published as: Fordy, Allan P.; Fordy, A. P.; Fordy, Allan; Fordy, A.; Fordi, A. P.
External Links: ORCID
Documents Indexed: 76 Publications since 1977, including 5 Additional arXiv Preprints
5 Contributions as Editor
Co-Authors: 40 Co-Authors with 55 Joint Publications
744 Co-Co-Authors
all top 5

Co-Authors

24 single-authored
7 Antonowicz, Marek
7 Huang, Qing
5 Xenitidis, Pavlos
4 Ferapontov, Evgeny Vladimirovich
4 Gibbons, John
4 Pickering, Andrew
3 Conte, Robert Maurice
3 Harris, Simon D.
2 Athorne, Chris
2 Dodd, Roger K.
2 Enolskiĭ, Viktor Zelikovich
2 Hone, Andrew N. W.
2 Kassotakis, Pavlos G.
1 Adler, Vsevolod Eduardovich
1 Cherdantsev, I. Yu.
1 Degasperis, Antonio
1 Galajinsky, Anton V.
1 Garifullin, Rustem N.
1 Gürel, T. Burak
1 Khabibullin, Ismagil Talgatovich
1 Kulish, Peter P.
1 Lakshmanam, M.
1 Marsh, Bethany Rose
1 Mikhailov, Alexander Vasil’evich
1 Mokhov, Oleg I.
1 Musin, Il’dar Khamitovich
1 Nijhoff, Frank W.
1 Özer, Mehmet Naci
1 Reyman, Alexey G.
1 Scott, Michael J.
1 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich
1 Shabat, Alekseĭ Borisovich
1 Sharipov, Ruslan A.
1 Sokolov, Vladimir Vyacheslavovich
1 Suleĭmanov, Bulat Irekovich
1 Veselov, Alexander Petrovich
1 Vinternitz, P.
1 Wood, John C.
1 Yulmukhametov, Rinad Salavatovich
1 Zhiber, Anatoliĭ Vasil’evich
all top 5

Serials

7 Journal of Geometry and Physics
6 Physica D
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Journal of Physics A: Mathematical and Theoretical
5 Communications in Mathematical Physics
5 Journal of Physics A: Mathematical and General
4 Journal of Mathematical Physics
4 Theoretical and Mathematical Physics
2 General Relativity and Gravitation
2 Reports on Mathematical Physics
2 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences
1 Letters in Mathematical Physics
1 Nonlinearity
1 Physics Letters. A
1 Hadronic Journal
1 Glasgow Mathematical Journal
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Methods and Applications of Analysis
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Aspects of Mathematics
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Fields

57 Dynamical systems and ergodic theory (37-XX)
44 Partial differential equations (35-XX)
17 Nonassociative rings and algebras (17-XX)
15 Mechanics of particles and systems (70-XX)
12 Differential geometry (53-XX)
10 Quantum theory (81-XX)
5 General and overarching topics; collections (00-XX)
5 Ordinary differential equations (34-XX)
5 Difference and functional equations (39-XX)
4 Commutative algebra (13-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Fluid mechanics (76-XX)
3 Relativity and gravitational theory (83-XX)
2 Associative rings and algebras (16-XX)
2 Operator theory (47-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

66 Publications have been cited 1,245 times in 877 Documents Cited by ▼ Year ▼
Nonlinear Schrödinger equations and simple Lie algebras. Zbl 0563.35062
Fordy, Allan P.; Kulish, Peter P.
168
1983
Coupled KdV equations with multi-Hamiltonian structures. Zbl 0638.35079
Antonowicz, Marek; Fordy, Allan P.
96
1987
The Hénon-Heiles system revisited. Zbl 0753.35102
Fordy, Allan P.
73
1991
Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems. Zbl 0696.35172
Antonowicz, Marek; Fordy, Allan P.
66
1989
Integrable nonlinear Klein-Gordon equations and Toda lattices. Zbl 0456.35080
Fordy, Allan P.; Gibbons, John
61
1980
Factorization of operators. I: Miura transformations. Zbl 0456.35079
Fordy, Allan P.; Gibbons, John
60
1980
Generalized KdV and MKdV equations associated with symmetric spaces. Zbl 0642.58034
Athorne, Chris; Fordy, Allan
59
1987
A perturbative Painlevé approach to nonlinear differential equations. Zbl 0794.34011
Conte, Robert; Fordy, Allan P.; Pickering, Andrew
58
1993
Coupled Harry Dym equations with multi-Hamiltonian structures. Zbl 0673.35088
Antonowicz, Marek; Fordy, Allan P.
52
1988
Factorization of operators. II. Zbl 0476.35068
Fordy, Allan P.; Gibbons, John
51
1981
Derivative nonlinear Schrödinger equations and Hermitian symmetric spaces. Zbl 0575.35081
Fordy, Allan P.
45
1984
Cluster mutation-periodic quivers and associated Laurent sequences. Zbl 1272.13020
Fordy, Allan P.; Marsh, Robert J.
38
2011
Discrete integrable systems and Poisson algebras from cluster maps. Zbl 1344.37076
Fordy, Allan P.; Hone, Andrew
36
2014
The prolongation structures of quasi-polynomial flows. Zbl 0542.35069
Dodd, R.; Fordy, A.
35
1983
Separable Hamiltonians and integrable systems of hydrodynamic type. Zbl 0865.58018
Ferapontov, E. V.; Fordy, A. P.
24
1997
Integrable quartic potentials and coupled KdV equations. Zbl 1020.37522
Baker, S.; Ènol’skiĭ, V. Z.; Fordy, A. P.
22
1995
\(\mathbb Z_N\) graded discrete Lax pairs and integrable difference equations. Zbl 1367.37055
Fordy, Allan P.; Xenitidis, Pavlos
21
2017
Integrable equations in \((2+1)\) dimensions associated with symmetric and homogeneous spaces. Zbl 0663.58017
Athorne, Chris; Fordy, Allan
21
1987
Quantum super-integrable systems as exactly solvable models. Zbl 1136.81027
Fordy, Allan P.
15
2007
Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term. Zbl 0933.37061
Ferapontov, E. V.; Fordy, A. P.
15
1997
Soliton theory: a survey of results. Zbl 0697.35126
14
1989
Energy-dependent third-order Lax operators. Zbl 0739.58052
Antonowicz, M.; Fordy, A. P.; Liu, Q. P.
13
1991
Symplectic maps from cluster algebras. Zbl 1252.37058
Fordy, Allan P.; Hone, Andrew
13
2011
Mutation-periodic quivers, integrable maps and associated Poisson algebras. Zbl 1219.17020
Fordy, Allan P.
11
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.
11
1989
Commuting quadratic Hamiltonians with velocity dependent potentials. Zbl 0956.37044
Ferapontov, E. V.; Fordy, A. P.
9
1999
Multidimensional maps of QRT type. Zbl 1116.37037
Fordy, Allan P.; Kassotakis, Pavlos G.
9
2006
Superintegrable systems on 3 dimensional conformally flat spaces. Zbl 1466.37048
Fordy, Allan P.; Huang, Qing
8
2020
Harmonic maps and integrable systems. Based on conference, held at Leeds, GB, May 1992. Zbl 0788.00063
8
1994
Prolongation structures of complex quasi-polynomial evolution equations. Zbl 0575.35082
Dodd, Roger K.; Fordy, Allan P.
8
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.
7
1990
Super-extensions of energy dependent Schrödinger operators. Zbl 0702.35217
Antonowicz, Marek; Fordy, Allan P.
7
1989
Nonlinear Klein-Gordon equations and simple Lie algebras. Zbl 0542.35071
Fordy, A. P.; Gibbons, J.
7
1983
Generalised Darboux-Koenigs metrics and 3-dimensional superintegrable systems. Zbl 1420.37038
Fordy, Allan P.; Huang, Qing
6
2019
First integrals from conformal symmetries: Darboux-Koenigs metrics and beyond. Zbl 1430.37063
Fordy, Allan P.
6
2019
Periodic cluster mutations and related integrable maps. Zbl 1318.37015
Fordy, Allan P.
6
2014
A note on some superintegrable Hamiltonian systems. Zbl 1388.37066
Fordy, Allan P.
5
2017
Integrable symplectic maps. Zbl 0923.58021
Fordy, A. P.
5
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
5
1990
A historical introduction to solitons and Bäcklund transformations. Zbl 0810.35101
Fordy, A. P.
5
1994
\(\mathbb Z_N\) graded discrete Lax pairs and Yang-Baxter maps. Zbl 1404.39014
Fordy, Allan P.; Xenitidis, Pavlos
4
2017
Integrable maps which preserve functions with symmetries. Zbl 1277.37085
Fordy, Allan P.; Kassotakis, Pavlos
4
2013
Factorization and Poisson correspondences. Zbl 0865.58029
Fordy, A. P.; Shabat, A. B.; Veselov, A. P.
4
1995
A perturbative extension of the Painlevé test. Zbl 0786.35111
Conte, R.; Fordy, A. P.; Pickering, A.
4
1993
Stationary flows: Hamiltonian structures and canonical transformations. Zbl 1194.35020
Fordy, Allan P.
4
1995
Poisson algebras and 3D superintegrable Hamiltonian systems. Zbl 1416.17011
Fordy, Allan P.; Huang, Qing
3
2018
Hamiltonian flows on stationary manifolds. Zbl 0897.58021
Fordy, Allan P.; Harris, Simon D.
3
1997
Recursive procedures for Krall-Sheffer operators. Zbl 1302.42037
Fordy, Allan P.; Scott, Michael J.
3
2013
Symmetries of \(\mathbb{Z}_N\) graded discrete integrable systems. Zbl 1514.39009
Fordy, Allan P.; Xenitidis, Pavlos
3
2020
The role of commuting operators in quantum superintegrable systems. Zbl 1519.81261
Fordy, Allan P.
3
2020
Stationary flows revisited. Zbl 1514.35349
Fordy, Allan P.; Huang, Qing
3
2023
On a special class of compatible Poisson structures of hydrodynamic type. Zbl 0988.37082
Fordy, Allan P.; Mokhov, Oleg I.
3
2001
Projective representations and deformations of integrable systems. Zbl 0554.35105
Fordy, A. P.
3
1983
Isospectral flows: Their Hamiltonian structures, Miura maps and master symmetries. Zbl 0707.35135
Fordy, Allan P.
3
1990
Higher-spin fields in a curved space-time. Zbl 0413.53022
Fordy, A. P.
3
1978
Self-dual systems, their symmetries and reductions to the Bogoyavlensky lattice. Zbl 1370.37131
Fordy, Allan P.; Xenitidis, Pavlos
2
2017
Integrable and superintegrable extensions of the rational Calogero-Moser model in three dimensions. Zbl 1506.70019
Fordy, Allan P.; Huang, Qing
2
2022
Symmetries, ladder operators and quantum integrable systems. Zbl 1080.53074
Fordy, A. P.
2
2005
Hamiltonian structures, master symmetries and Miura maps of integrable nonlinear evolution equations. Zbl 0747.35025
Fordy, Allan P.
2
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
2
2000
A Kaluza-Klein reduction of super-integrable systems. Zbl 1396.70018
Fordy, Allan P.
1
2018
Generalising Painlevé truncation: Expansions in Riccati pseudopotentials. Zbl 0927.35112
Fordy, A. P.; Pickering, A.
1
1999
Hamiltonian structures in stationary manifold coordinates. Zbl 0864.35094
Fordy, Allan P.; Harris, Simon D.
1
1997
Multicomponent Schwarzian KdV hierarchies. Zbl 0804.35117
Antonowicz, Marek; Fordy, Allan P.
1
1993
Zero-rest-mass fields in an algebraically special curved space-time. Zbl 0453.53007
Fordy, A. P.
1
1977
Darboux related quantum integrable systems on a constant curvature surface. Zbl 1095.53027
Fordy, A. P.
1
2006
Stationary flows revisited. Zbl 1514.35349
Fordy, Allan P.; Huang, Qing
3
2023
Integrable and superintegrable extensions of the rational Calogero-Moser model in three dimensions. Zbl 1506.70019
Fordy, Allan P.; Huang, Qing
2
2022
Superintegrable systems on 3 dimensional conformally flat spaces. Zbl 1466.37048
Fordy, Allan P.; Huang, Qing
8
2020
Symmetries of \(\mathbb{Z}_N\) graded discrete integrable systems. Zbl 1514.39009
Fordy, Allan P.; Xenitidis, Pavlos
3
2020
The role of commuting operators in quantum superintegrable systems. Zbl 1519.81261
Fordy, Allan P.
3
2020
Generalised Darboux-Koenigs metrics and 3-dimensional superintegrable systems. Zbl 1420.37038
Fordy, Allan P.; Huang, Qing
6
2019
First integrals from conformal symmetries: Darboux-Koenigs metrics and beyond. Zbl 1430.37063
Fordy, Allan P.
6
2019
Poisson algebras and 3D superintegrable Hamiltonian systems. Zbl 1416.17011
Fordy, Allan P.; Huang, Qing
3
2018
A Kaluza-Klein reduction of super-integrable systems. Zbl 1396.70018
Fordy, Allan P.
1
2018
\(\mathbb Z_N\) graded discrete Lax pairs and integrable difference equations. Zbl 1367.37055
Fordy, Allan P.; Xenitidis, Pavlos
21
2017
A note on some superintegrable Hamiltonian systems. Zbl 1388.37066
Fordy, Allan P.
5
2017
\(\mathbb Z_N\) graded discrete Lax pairs and Yang-Baxter maps. Zbl 1404.39014
Fordy, Allan P.; Xenitidis, Pavlos
4
2017
Self-dual systems, their symmetries and reductions to the Bogoyavlensky lattice. Zbl 1370.37131
Fordy, Allan P.; Xenitidis, Pavlos
2
2017
Discrete integrable systems and Poisson algebras from cluster maps. Zbl 1344.37076
Fordy, Allan P.; Hone, Andrew
36
2014
Periodic cluster mutations and related integrable maps. Zbl 1318.37015
Fordy, Allan P.
6
2014
Integrable maps which preserve functions with symmetries. Zbl 1277.37085
Fordy, Allan P.; Kassotakis, Pavlos
4
2013
Recursive procedures for Krall-Sheffer operators. Zbl 1302.42037
Fordy, Allan P.; Scott, Michael J.
3
2013
Cluster mutation-periodic quivers and associated Laurent sequences. Zbl 1272.13020
Fordy, Allan P.; Marsh, Robert J.
38
2011
Symplectic maps from cluster algebras. Zbl 1252.37058
Fordy, Allan P.; Hone, Andrew
13
2011
Mutation-periodic quivers, integrable maps and associated Poisson algebras. Zbl 1219.17020
Fordy, Allan P.
11
2011
Quantum super-integrable systems as exactly solvable models. Zbl 1136.81027
Fordy, Allan P.
15
2007
Multidimensional maps of QRT type. Zbl 1116.37037
Fordy, Allan P.; Kassotakis, Pavlos G.
9
2006
Darboux related quantum integrable systems on a constant curvature surface. Zbl 1095.53027
Fordy, A. P.
1
2006
Symmetries, ladder operators and quantum integrable systems. Zbl 1080.53074
Fordy, A. P.
2
2005
On a special class of compatible Poisson structures of hydrodynamic type. Zbl 0988.37082
Fordy, Allan P.; Mokhov, Oleg I.
3
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
2
2000
Commuting quadratic Hamiltonians with velocity dependent potentials. Zbl 0956.37044
Ferapontov, E. V.; Fordy, A. P.
9
1999
Integrable symplectic maps. Zbl 0923.58021
Fordy, A. P.
5
1999
Generalising Painlevé truncation: Expansions in Riccati pseudopotentials. Zbl 0927.35112
Fordy, A. P.; Pickering, A.
1
1999
Separable Hamiltonians and integrable systems of hydrodynamic type. Zbl 0865.58018
Ferapontov, E. V.; Fordy, A. P.
24
1997
Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term. Zbl 0933.37061
Ferapontov, E. V.; Fordy, A. P.
15
1997
Hamiltonian flows on stationary manifolds. Zbl 0897.58021
Fordy, Allan P.; Harris, Simon D.
3
1997
Hamiltonian structures in stationary manifold coordinates. Zbl 0864.35094
Fordy, Allan P.; Harris, Simon D.
1
1997
Integrable quartic potentials and coupled KdV equations. Zbl 1020.37522
Baker, S.; Ènol’skiĭ, V. Z.; Fordy, A. P.
22
1995
Factorization and Poisson correspondences. Zbl 0865.58029
Fordy, A. P.; Shabat, A. B.; Veselov, A. P.
4
1995
Stationary flows: Hamiltonian structures and canonical transformations. Zbl 1194.35020
Fordy, Allan P.
4
1995
Harmonic maps and integrable systems. Based on conference, held at Leeds, GB, May 1992. Zbl 0788.00063
8
1994
A historical introduction to solitons and Bäcklund transformations. Zbl 0810.35101
Fordy, A. P.
5
1994
A perturbative Painlevé approach to nonlinear differential equations. Zbl 0794.34011
Conte, Robert; Fordy, Allan P.; Pickering, Andrew
58
1993
A perturbative extension of the Painlevé test. Zbl 0786.35111
Conte, R.; Fordy, A. P.; Pickering, A.
4
1993
Multicomponent Schwarzian KdV hierarchies. Zbl 0804.35117
Antonowicz, Marek; Fordy, Allan P.
1
1993
The Hénon-Heiles system revisited. Zbl 0753.35102
Fordy, Allan P.
73
1991
Energy-dependent third-order Lax operators. Zbl 0739.58052
Antonowicz, M.; Fordy, A. P.; Liu, Q. P.
13
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.
7
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
5
1990
Isospectral flows: Their Hamiltonian structures, Miura maps and master symmetries. Zbl 0707.35135
Fordy, Allan P.
3
1990
Hamiltonian structures, master symmetries and Miura maps of integrable nonlinear evolution equations. Zbl 0747.35025
Fordy, Allan P.
2
1990
Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems. Zbl 0696.35172
Antonowicz, Marek; Fordy, Allan P.
66
1989
Soliton theory: a survey of results. Zbl 0697.35126
14
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.
11
1989
Super-extensions of energy dependent Schrödinger operators. Zbl 0702.35217
Antonowicz, Marek; Fordy, Allan P.
7
1989
Coupled Harry Dym equations with multi-Hamiltonian structures. Zbl 0673.35088
Antonowicz, Marek; Fordy, Allan P.
52
1988
Coupled KdV equations with multi-Hamiltonian structures. Zbl 0638.35079
Antonowicz, Marek; Fordy, Allan P.
96
1987
Generalized KdV and MKdV equations associated with symmetric spaces. Zbl 0642.58034
Athorne, Chris; Fordy, Allan
59
1987
Integrable equations in \((2+1)\) dimensions associated with symmetric and homogeneous spaces. Zbl 0663.58017
Athorne, Chris; Fordy, Allan
21
1987
Derivative nonlinear Schrödinger equations and Hermitian symmetric spaces. Zbl 0575.35081
Fordy, Allan P.
45
1984
Prolongation structures of complex quasi-polynomial evolution equations. Zbl 0575.35082
Dodd, Roger K.; Fordy, Allan P.
8
1984
Nonlinear Schrödinger equations and simple Lie algebras. Zbl 0563.35062
Fordy, Allan P.; Kulish, Peter P.
168
1983
The prolongation structures of quasi-polynomial flows. Zbl 0542.35069
Dodd, R.; Fordy, A.
35
1983
Nonlinear Klein-Gordon equations and simple Lie algebras. Zbl 0542.35071
Fordy, A. P.; Gibbons, J.
7
1983
Projective representations and deformations of integrable systems. Zbl 0554.35105
Fordy, A. P.
3
1983
Factorization of operators. II. Zbl 0476.35068
Fordy, Allan P.; Gibbons, John
51
1981
Integrable nonlinear Klein-Gordon equations and Toda lattices. Zbl 0456.35080
Fordy, Allan P.; Gibbons, John
61
1980
Factorization of operators. I: Miura transformations. Zbl 0456.35079
Fordy, Allan P.; Gibbons, John
60
1980
Higher-spin fields in a curved space-time. Zbl 0413.53022
Fordy, A. P.
3
1978
Zero-rest-mass fields in an algebraically special curved space-time. Zbl 0453.53007
Fordy, A. P.
1
1977
all cited Publications top 5 cited Publications
all top 5

Cited by 908 Authors

36 Fordy, Allan P.
25 Ma, Wen-Xiu
24 Hone, Andrew N. W.
20 Błaszak, Maciej
20 Conte, Robert Maurice
18 Pickering, Andrew
17 Gerdzhikov, Vladimir Stefanov
15 Geng, Xianguo
15 Musette, Micheline
13 Gordoa, Pilar Ruiz
12 Marciniak, Krzysztof
11 Liu, Qingping
11 Sokolov, Vladimir Vyacheslavovich
10 Kudryashov, Nikolaĭ Alekseevich
10 Shen, Shoufeng
10 Tsyganov, Andreĭ Vladimirovich
9 Doikou, Anastasia
9 Grahovski, Georgi G.
9 Pavlov, Maxim V.
8 Gomes, Jose Francisco
8 Guha, Partha
8 Gürses, Metin
8 Igonin, Sergeĭ Aleksandrovich
8 Kassotakis, Pavlos G.
8 Rauch-Wojciechowski, Stefan
8 Tian, Kai
8 Zimerman, Abraham H.
7 Konopelchenko, Boris Georgievich
7 Konstantinou-Rizos, Sotiris
7 Konyaev, Andreĭ Yu.
7 Lou, Senyue
7 Martínez Alonso, Luis
7 Popowicz, Ziemowit
7 Xenitidis, Pavlos
7 Zeng, Yunbo
7 Zhang, Yufeng
6 Enolskiĭ, Viktor Zelikovich
6 Ferapontov, Evgeny Vladimirovich
6 Fu, Wei
6 Huang, Qing
6 Ivanov, Rossen I.
6 Kostov, Nikolay A.
6 Mase, Takafumi
6 Matveev, Vladimir S.
6 Morozov, Oleg I.
6 Nijhoff, Frank W.
6 Quispel, Gilles Reinout Willem
6 Svinolupov, S. I.
6 van der Kamp, Peter H.
6 Winternitz, Pavel
6 Zhu, Zuonong
5 Aratyn, Henrik
5 Bolsinov, Alexey V.
5 Capel, Hans W.
5 Chen, Jinbing
5 Ding, Qing
5 Du, Dianlou
5 Hu, Xingbiao
5 Kamiya, Ryo
5 Kanki, Masataka
5 Li, Nianhua
5 Lorenzoni, Paolo
5 Mañas, Manuel
5 Marvan, Michal
5 Papamikos, Georgios A.
5 Qu, Changzheng
5 Sottocornola, Nicola
5 Strachan, Ian A. B.
5 Tokihiro, Tetsuji
5 Valchev, Tihomir I.
5 Verhoeven, Caroline
5 Wu, Lihua
5 Xue, Bo
4 Antonowicz, Marek
4 Asadi, Esmaeel
4 Ballesteros, Angel
4 Blasco, Alfonso
4 Clarkson, Peter A.
4 Cruz, Inês
4 Fan, Engui
4 Fedorov, Yuri N.
4 Findlay, Iain
4 Gibbons, John
4 Hu, Qiaoyi
4 Jin, Yongyang
4 Karasu, Atalay
4 Kouloukas, Theodoros E.
4 Mikhailov, Alexander Vasil’evich
4 Pekcan, Asli
4 Shabat, Alekseĭ Borisovich
4 Tam, Hon-Wah
4 Wang, Youde
4 Xia, Tie-Cheng
4 Xu, Guiqiong
4 Yamilov, Ravil’ Islamovich
4 Yao, Yuqin
4 Zotos, Euaggelos E.
4 Zuo, Dafeng
3 Adamopoulou, Panagiota
3 Adler, Vsevolod Eduardovich
...and 808 more Authors
all top 5

Cited in 151 Serials

131 Journal of Mathematical Physics
78 Physics Letters. A
49 Physica D
49 Journal of Physics A: Mathematical and Theoretical
47 Theoretical and Mathematical Physics
36 Journal of Geometry and Physics
33 Journal of Nonlinear Mathematical Physics
23 Chaos, Solitons and Fractals
20 Communications in Mathematical Physics
20 Communications in Nonlinear Science and Numerical Simulation
17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
16 Studies in Applied Mathematics
14 Reports on Mathematical Physics
13 Letters in Mathematical Physics
12 Journal of Mathematical Analysis and Applications
12 Applied Mathematics and Computation
12 Acta Applicandae Mathematicae
11 Nonlinearity
11 Applied Mathematics Letters
9 Nuclear Physics. B
9 Physica A
9 International Journal of Geometric Methods in Modern Physics
7 Regular and Chaotic Dynamics
6 Journal of High Energy Physics
6 Communications in Theoretical Physics
5 Wave Motion
5 Journal of Differential Equations
5 Differential Geometry and its Applications
5 Journal of Algebraic Combinatorics
5 Nonlinear Dynamics
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 International Journal of Modern Physics A
4 Applicable Analysis
4 Computer Physics Communications
4 International Journal of Theoretical Physics
4 Mathematical Methods in the Applied Sciences
4 Reviews in Mathematical Physics
4 Functional Analysis and its Applications
4 Annals of Physics
4 Journal of Mathematical Sciences (New York)
4 Journal of Difference Equations and Applications
4 Acta Mathematica Sinica. English Series
3 Physics Letters. B
3 Glasgow Mathematical Journal
3 Journal of Soviet Mathematics
3 Advances in Applied Mathematics
3 International Journal of Mathematics
3 Journal of Nonlinear Mathematical Physics
3 Nonlinear Analysis. Real World Applications
3 Advances in Mathematical Physics
3 Journal of Geometric Mechanics
3 Science China. Mathematics
3 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
2 Modern Physics Letters A
2 International Journal of Modern Physics B
2 General Relativity and Gravitation
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Mathematical and Computer Modelling
2 The Journal of Geometric Analysis
2 Journal of Nonlinear Science
2 Abstract and Applied Analysis
2 Differential Equations
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Analysis and Mathematical Physics
2 Journal of Computational Dynamics
2 Nelineĭnaya Dinamika
2 Open Communications in Nonlinear Mathematical Physics
1 Modern Physics Letters B
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Physics Reports
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Prikladnaya Matematika i Mekhanika
1 Advances in Mathematics
1 Bulletin of the London Mathematical Society
1 Collectanea Mathematica
1 Compositio Mathematica
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Meccanica
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Quarterly of Applied Mathematics
1 Results in Mathematics
...and 51 more Serials
all top 5

Cited in 44 Fields

597 Dynamical systems and ergodic theory (37-XX)
491 Partial differential equations (35-XX)
90 Mechanics of particles and systems (70-XX)
88 Quantum theory (81-XX)
75 Nonassociative rings and algebras (17-XX)
73 Differential geometry (53-XX)
72 Ordinary differential equations (34-XX)
71 Difference and functional equations (39-XX)
52 Global analysis, analysis on manifolds (58-XX)
32 Algebraic geometry (14-XX)
29 Commutative algebra (13-XX)
26 Special functions (33-XX)
25 Fluid mechanics (76-XX)
23 Associative rings and algebras (16-XX)
22 Statistical mechanics, structure of matter (82-XX)
21 Number theory (11-XX)
15 Numerical analysis (65-XX)
14 Relativity and gravitational theory (83-XX)
13 Optics, electromagnetic theory (78-XX)
11 Topological groups, Lie groups (22-XX)
10 Several complex variables and analytic spaces (32-XX)
9 Computer science (68-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Functions of a complex variable (30-XX)
5 Operator theory (47-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Integral equations (45-XX)
4 Convex and discrete geometry (52-XX)
4 Astronomy and astrophysics (85-XX)
3 Combinatorics (05-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of deformable solids (74-XX)
2 Group theory and generalizations (20-XX)
2 Approximations and expansions (41-XX)
2 Geometry (51-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Probability theory and stochastic processes (60-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year