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## Hietarinta, Jarmo

Compute Distance To:
 Author ID: hietarinta.jarmo Published as: Hietarinta, Jarmo; Hietarinta, J. External Links: Wikidata · ORCID
 Documents Indexed: 87 Publications since 1981, including 3 Books
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#### Co-Authors

 40 single-authored 10 Grammaticos, Basil 10 Ramani, Alfred 7 Nijhoff, Frank W. 5 Viallet, Claude Michel 5 Zhang, Dajun 3 Atkinson, James R. 3 Kajiwara, Kenji 3 Kuusela, Tom 3 Mikkola, Seppo 3 Salo, Petri 3 Satsuma, Junkichi 2 Dorizzi, Bernadette 2 Jäykkä, Juha 2 Joshi, Nalini 2 Willox, Ralph 1 Dryuma, Valery S. 1 Hay, Mike C. 1 Kruskal, Martin David 1 Malomed, Boris A. 1 Matsukidaira, Junta 1 Montonen, Claus 1 Ormerod, Christopher Michael 1 Quispel, Gilles Reinout Willem 1 Suominen, Kalle-Antti 1 Toikka, L. A. 1 van der Kamp, Peter H. 1 Westerholm, Jan 1 Yoshida, Haruo 1 Zeng, Yunbo
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#### Serials

 13 Journal of Physics A: Mathematical and General 9 Journal of Mathematical Physics 9 Journal of Physics A: Mathematical and Theoretical 4 Physics Letters. A 3 Physica D 3 Journal of Nonlinear Mathematical Physics 2 Nonlinearity 2 Celestial Mechanics and Dynamical Astronomy 1 International Journal of Modern Physics A 1 Physica A 1 Physics Letters. B 1 Chaos, Solitons and Fractals 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Journal of Difference Equations and Applications 1 Chaos 1 Journal of Nonlinear Mathematical Physics 1 Physical Review Letters 1 Physica Scripta 1 The ANZIAM Journal 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Physics 1 Cambridge Texts in Applied Mathematics
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#### Fields

 41 Dynamical systems and ergodic theory (37-XX) 39 Partial differential equations (35-XX) 18 Difference and functional equations (39-XX) 17 Quantum theory (81-XX) 10 Ordinary differential equations (34-XX) 9 Mechanics of particles and systems (70-XX) 9 Statistical mechanics, structure of matter (82-XX) 4 Nonassociative rings and algebras (17-XX) 4 Special functions (33-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

65 Publications have been cited 837 times in 565 Documents Cited by Year
A search for bilinear equations passing Hirota’s three-soliton condition. I: KdV-type bilinear equations. Zbl 0641.35073
Hietarinta, Jarmo
1987
Discrete versions of the Painlevé equations. Zbl 1050.39500
Ramani, A.; Grammaticos, B.; Hietarinta, J.
1991
A search for bilinear equations passing Hirota’s three-soliton condition. II. MKdV-type bilinear equations. Zbl 0658.35081
Hietarinta, Jarmo
1987
Discrete systems and integrability. Zbl 1362.37130
Hietarinta, J.; Joshi, N.; Nijhoff, F. W.
2016
Soliton solutions for ABS lattice equations. I: Cauchy matrix approach. Zbl 1184.35281
Nijhoff, Frank; Atkinson, James; Hietarinta, Jarmo
2009
Solving the two-dimensional constant quantum Yang-Baxter equation. Zbl 0778.15016
Hietarinta, Jarmo
1993
Introduction to the Hirota bilinear method. Zbl 0907.58030
Hietarinta, J.
1997
Chaos in the one-dimensional gravitational three-body problem. Zbl 1055.70504
Hietarinta, Jarmo; Mikkola, Seppo
1993
Faddeev-Hopf knots: Dynamics of linked un-knots. Zbl 0965.57006
Hietarinta, Jarmo; Salo, Petri
1999
Soliton solutions for ABS lattice equations. II: Casoratians and bilinearization. Zbl 1184.35276
Hietarinta, Jarmo; Zhang, Da-Jun
2009
Searching for CAC-maps. Zbl 1091.37020
Hietarinta, Jarmo
2005
A new two-dimensional lattice model that is ‘consistent around a cube’. Zbl 1044.81101
Hietarinta, Jarmo
2004
A search for bilinear equations passing Hirota’s three-soliton condition. IV: Complex bilinear equations. Zbl 0684.35082
Hietarinta, Jarmo
1988
Permutation-type solutions to the Yang-Baxter and other $$n$$-simplex equations. Zbl 0939.81012
Hietarinta, J.
1997
A search for bilinear equations passing Hirota’s three-soliton condition. III: Sine-Gordon-type bilinear equations. Zbl 0658.35082
Hietarinta, Jarmo
1987
Pure quantum integrability. Zbl 0941.81049
Hietarinta, Jarmo
1998
Is my ODE a Painlevé equation in disguise? Zbl 1362.34129
Hietarinta, Jarmo; Dryuma, Valery
2002
Classical Poisson structures and $$r$$-matrices from constrained flows. Zbl 0899.58023
Zeng, Yunbo; Hietarinta, Jarmo
1996
A numerical investigation of the one-dimensional Newtonian three-body problem. Zbl 0850.70098
Mikkola, Seppo; Hietarinta, Jarmo
1991
Searching for integrable lattice maps using factorization. Zbl 1155.35463
Hietarinta, Jarmo; Viallet, Claude
2007
Seed and soliton solutions for Adler’s lattice equation. Zbl 1106.37048
Atkinson, James; Hietarinta, Jarmo; Nijhoff, Frank
2007
Boussinesq-like multi-component lattice equations and multi-dimensional consistency. Zbl 1219.37047
Hietarinta, Jarmo
2011
Weak Lax pairs for lattice equations. Zbl 1267.37074
Hietarinta, Jarmo; Viallet, Claude
2012
Soliton solutions for Q3. Zbl 1136.37036
Atkinson, James; Hietarinta, Jarmo; Nijhoff, Frank
2008
On the non-integrability of some generalized Toda lattices. Zbl 0667.58021
Yoshida, H.; Ramani, A.; Grammaticos, B.; Hietarinta, J.
1987
A search for integrable bilinear equations: The Painlevé approach. Zbl 0729.35133
Grammaticos, B.; Ramani, A.; Hietarinta, J.
1990
Multisoliton solutions to the lattice Boussinesq equation. Zbl 1309.35005
Hietarinta, Jarmo; Zhang, Da-jun
2010
Labelling schemes for tetrahedron equations and dualities between them. Zbl 0838.35121
Hietarinta, Jarmo
1994
Discrete Painlevé I and singularity confinement in projective space. Zbl 1115.39301
Hietarinta, Jarmo; Viallet, Claude
2000
A Lax pair for a lattice modified KdV equation, reductions to $$q$$-Painlevé equations and associated Lax pairs. Zbl 1112.35137
Hay, Mike; Hietarinta, Jarmo; Joshi, Nalini; Nijhoff, Frank
2007
Bilinear discrete Painlevé-II and its particular solutions. Zbl 0859.34073
Satsuma, J.; Kajiwara, K.; Grammaticos, B.; Hietarinta, J.; Ramani, A.
1995
Hirota’s bilinear method and partial integrability. Zbl 0717.58024
Hietarinta, J.
1990
Painlevé equations from Darboux chains. I: $$P_{\text{III}}-P_{\text{V}}$$. Zbl 1050.34129
Willox, Ralph; Hietarinta, Jarmo
2003
A numerical investigation of the one-dimensional Newtonian three-body problem. II: Positive energies. Zbl 0709.70530
Mikkola, Seppo; Hietarinta, Jarmo
1990
Soliton taxonomy for a modification of the lattice Boussinesq equation. Zbl 1244.35027
Hietarinta, Jarmo; Zhang, Da-Jun
2011
Special issue: Symmetries and integrability of difference equations (SIDE IV). Papers from the 4th international meeting, Tokyo, Japan, November 27–December 1, 2000. Zbl 0994.00505
Hietarinta, J. (ed.); Nijhoff, F. W. (ed.); Satsuma, J. (ed.)
2001
The relativistic Toda lattice and its trilinear form. Zbl 0941.37547
Hietarinta, J.; Kajiwara, K.; Matsukidaira, J.; Satsuma, J.
1992
Gauge symmetry and the generalization of Hirota’s bilinear method. Zbl 0952.35115
Hietarinta, J.
1996
Multilinear operators: The natural extension of Hirota’s bilinear formalism. Zbl 0961.35503
Grammaticos, B.; Ramani, A.; Hietarinta, J.
1994
Relaxation of twisted vortices in the Faddeev-Skyrme model. Zbl 1118.81364
Hietarinta, Jarmo; Jäykkä, Juha; Salo, Petri
2004
The upper triangular solutions to the three-state constant quantum Yang- Baxter equation. Zbl 0821.17020
Hietarinta, Jarmo
1993
Continuous vacua in bilinear soliton equations. Zbl 0842.35097
Hietarinta, J.; Ramani, A.; Grammaticos, B.
1994
Hirota forms for the six Painlevé equations from singularity analysis. Zbl 0856.34013
Hietarinta, Jarmo; Kruskal, Martin D.
1992
Solving the constant quantum Yang-Baxter equation in 2 dimensions with massive use of factorizing Gröbner basis computations. Zbl 0915.17001
Hietarinta, Jarmo
1992
Searching for integrable PDE’s by testing Hirota’s three-soliton condition. Zbl 0925.35148
Hietarinta, Jarmo
1991
Rational solutions to $$d$$-$$P_{IV}$$. Zbl 0924.39009
Hietarinta, Jarmo; Kajiwara, Kenji
1999
Hirota’s bilinear method and its generalization. Zbl 1073.37535
Hietarinta, Jarmo
1997
Numerical, experimental, and analytical studies of the dissipative Toda lattice. Zbl 0705.35122
Kuusela, T.; Hietarinta, J.
1990
Twisted reductions of integrable lattice equations, and their Lax representations. Zbl 1291.39024
Ormerod, Christopher M.; van der Kamp, Peter H.; Hietarinta, Jarmo; Quispel, G. R. W.
2014
Integrable lattice equations with vertex and bond variables. Zbl 1227.82018
Hietarinta, Jarmo; Viallet, Claude
2011
Linearization on a submanifold of integrable Hamiltonians with polynomial potentials. Zbl 0601.58030
Ramani, A.; Dorizzi, B.; Grammaticos, B.; Hietarinta, J.
1986
Multilinear operators: the natural extension of Hirota’s bilinear formalism. Zbl 0910.58016
Grammaticos, B.; Ramani, A.; Hietarinta, J.
1994
Recent results from the search for bilinear equations having three- soliton solutions. Zbl 0739.35087
Hietarinta, J.
1990
Numerical, experimental, and analytical studies of the dissipative Toda lattice. II: Elastic scattering of solitary waves. Zbl 0718.35082
Kuusela, T.; Hietarinta, J.
1990
Generalized solutions for the H1 model in ABS list of lattice equations. Zbl 1214.81176
Zhang, Da-jun; Hietarinta, Jarmo
2010
How to construct integrable Fokker-Planck and electromagnetic Hamiltonians from ordinary integrable Hamiltonians. Zbl 0574.70018
Hietarinta, J.
1985
Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax. Zbl 1417.37229
Hietarinta, Jarmo
2019
Singularity confinement and degree growth. Zbl 0960.39008
Hietarinta, Jarmo; Viallet, Claude
2000
Some constant solutions to Zamolodchikov’s tetrahedron equations. Zbl 0772.35055
Hietarinta, Jarmo
1993
Shock waves in the dissipative Toda lattice. Zbl 0829.76045
Hietarinta, Jarmo; Kuusela, Tom; Malomed, Boris A.
1995
The complete solution to the constant quantum Yang-Baxter equation in two dimensions. Zbl 0796.35157
Hietarinta, J.
1993
Hirota’s method and the search for integrable partial difference equations. I. Equations on a $$3\times 3$$ stencil. Zbl 1273.39006
Hietarinta, Jarmo; Zhang, Da-Jun
2013
On the bilinear forms of Painlevé’s 4th equation. Zbl 1170.34062
Willox, R.; Hietarinta, J.
2006
Definitions and predictions of integrability for difference equations. Zbl 1229.39009
Hietarinta, Jarmo
2011
Exact soliton-like solutions of the radial Gross–Pitaevskii equation. Zbl 1282.35359
Toikka, L. A.; Hietarinta, J.; Suominen, K.-A.
2012
Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax. Zbl 1417.37229
Hietarinta, Jarmo
2019
Discrete systems and integrability. Zbl 1362.37130
Hietarinta, J.; Joshi, N.; Nijhoff, F. W.
2016
Twisted reductions of integrable lattice equations, and their Lax representations. Zbl 1291.39024
Ormerod, Christopher M.; van der Kamp, Peter H.; Hietarinta, Jarmo; Quispel, G. R. W.
2014
Hirota’s method and the search for integrable partial difference equations. I. Equations on a $$3\times 3$$ stencil. Zbl 1273.39006
Hietarinta, Jarmo; Zhang, Da-Jun
2013
Weak Lax pairs for lattice equations. Zbl 1267.37074
Hietarinta, Jarmo; Viallet, Claude
2012
Exact soliton-like solutions of the radial Gross–Pitaevskii equation. Zbl 1282.35359
Toikka, L. A.; Hietarinta, J.; Suominen, K.-A.
2012
Boussinesq-like multi-component lattice equations and multi-dimensional consistency. Zbl 1219.37047
Hietarinta, Jarmo
2011
Soliton taxonomy for a modification of the lattice Boussinesq equation. Zbl 1244.35027
Hietarinta, Jarmo; Zhang, Da-Jun
2011
Integrable lattice equations with vertex and bond variables. Zbl 1227.82018
Hietarinta, Jarmo; Viallet, Claude
2011
Definitions and predictions of integrability for difference equations. Zbl 1229.39009
Hietarinta, Jarmo
2011
Multisoliton solutions to the lattice Boussinesq equation. Zbl 1309.35005
Hietarinta, Jarmo; Zhang, Da-jun
2010
Generalized solutions for the H1 model in ABS list of lattice equations. Zbl 1214.81176
Zhang, Da-jun; Hietarinta, Jarmo
2010
Soliton solutions for ABS lattice equations. I: Cauchy matrix approach. Zbl 1184.35281
Nijhoff, Frank; Atkinson, James; Hietarinta, Jarmo
2009
Soliton solutions for ABS lattice equations. II: Casoratians and bilinearization. Zbl 1184.35276
Hietarinta, Jarmo; Zhang, Da-Jun
2009
Soliton solutions for Q3. Zbl 1136.37036
Atkinson, James; Hietarinta, Jarmo; Nijhoff, Frank
2008
Searching for integrable lattice maps using factorization. Zbl 1155.35463
Hietarinta, Jarmo; Viallet, Claude
2007
Seed and soliton solutions for Adler’s lattice equation. Zbl 1106.37048
Atkinson, James; Hietarinta, Jarmo; Nijhoff, Frank
2007
A Lax pair for a lattice modified KdV equation, reductions to $$q$$-Painlevé equations and associated Lax pairs. Zbl 1112.35137
Hay, Mike; Hietarinta, Jarmo; Joshi, Nalini; Nijhoff, Frank
2007
On the bilinear forms of Painlevé’s 4th equation. Zbl 1170.34062
Willox, R.; Hietarinta, J.
2006
Searching for CAC-maps. Zbl 1091.37020
Hietarinta, Jarmo
2005
A new two-dimensional lattice model that is ‘consistent around a cube’. Zbl 1044.81101
Hietarinta, Jarmo
2004
Relaxation of twisted vortices in the Faddeev-Skyrme model. Zbl 1118.81364
Hietarinta, Jarmo; Jäykkä, Juha; Salo, Petri
2004
Painlevé equations from Darboux chains. I: $$P_{\text{III}}-P_{\text{V}}$$. Zbl 1050.34129
Willox, Ralph; Hietarinta, Jarmo
2003
Is my ODE a Painlevé equation in disguise? Zbl 1362.34129
Hietarinta, Jarmo; Dryuma, Valery
2002
Special issue: Symmetries and integrability of difference equations (SIDE IV). Papers from the 4th international meeting, Tokyo, Japan, November 27–December 1, 2000. Zbl 0994.00505
Hietarinta, J.; Nijhoff, F. W.; Satsuma, J.
2001
Discrete Painlevé I and singularity confinement in projective space. Zbl 1115.39301
Hietarinta, Jarmo; Viallet, Claude
2000
Singularity confinement and degree growth. Zbl 0960.39008
Hietarinta, Jarmo; Viallet, Claude
2000
Faddeev-Hopf knots: Dynamics of linked un-knots. Zbl 0965.57006
Hietarinta, Jarmo; Salo, Petri
1999
Rational solutions to $$d$$-$$P_{IV}$$. Zbl 0924.39009
Hietarinta, Jarmo; Kajiwara, Kenji
1999
Pure quantum integrability. Zbl 0941.81049
Hietarinta, Jarmo
1998
Introduction to the Hirota bilinear method. Zbl 0907.58030
Hietarinta, J.
1997
Permutation-type solutions to the Yang-Baxter and other $$n$$-simplex equations. Zbl 0939.81012
Hietarinta, J.
1997
Hirota’s bilinear method and its generalization. Zbl 1073.37535
Hietarinta, Jarmo
1997
Classical Poisson structures and $$r$$-matrices from constrained flows. Zbl 0899.58023
Zeng, Yunbo; Hietarinta, Jarmo
1996
Gauge symmetry and the generalization of Hirota’s bilinear method. Zbl 0952.35115
Hietarinta, J.
1996
Bilinear discrete Painlevé-II and its particular solutions. Zbl 0859.34073
Satsuma, J.; Kajiwara, K.; Grammaticos, B.; Hietarinta, J.; Ramani, A.
1995
Shock waves in the dissipative Toda lattice. Zbl 0829.76045
Hietarinta, Jarmo; Kuusela, Tom; Malomed, Boris A.
1995
Labelling schemes for tetrahedron equations and dualities between them. Zbl 0838.35121
Hietarinta, Jarmo
1994
Multilinear operators: The natural extension of Hirota’s bilinear formalism. Zbl 0961.35503
Grammaticos, B.; Ramani, A.; Hietarinta, J.
1994
Continuous vacua in bilinear soliton equations. Zbl 0842.35097
Hietarinta, J.; Ramani, A.; Grammaticos, B.
1994
Multilinear operators: the natural extension of Hirota’s bilinear formalism. Zbl 0910.58016
Grammaticos, B.; Ramani, A.; Hietarinta, J.
1994
Solving the two-dimensional constant quantum Yang-Baxter equation. Zbl 0778.15016
Hietarinta, Jarmo
1993
Chaos in the one-dimensional gravitational three-body problem. Zbl 1055.70504
Hietarinta, Jarmo; Mikkola, Seppo
1993
The upper triangular solutions to the three-state constant quantum Yang- Baxter equation. Zbl 0821.17020
Hietarinta, Jarmo
1993
Some constant solutions to Zamolodchikov’s tetrahedron equations. Zbl 0772.35055
Hietarinta, Jarmo
1993
The complete solution to the constant quantum Yang-Baxter equation in two dimensions. Zbl 0796.35157
Hietarinta, J.
1993
The relativistic Toda lattice and its trilinear form. Zbl 0941.37547
Hietarinta, J.; Kajiwara, K.; Matsukidaira, J.; Satsuma, J.
1992
Hirota forms for the six Painlevé equations from singularity analysis. Zbl 0856.34013
Hietarinta, Jarmo; Kruskal, Martin D.
1992
Solving the constant quantum Yang-Baxter equation in 2 dimensions with massive use of factorizing Gröbner basis computations. Zbl 0915.17001
Hietarinta, Jarmo
1992
Discrete versions of the Painlevé equations. Zbl 1050.39500
Ramani, A.; Grammaticos, B.; Hietarinta, J.
1991
A numerical investigation of the one-dimensional Newtonian three-body problem. Zbl 0850.70098
Mikkola, Seppo; Hietarinta, Jarmo
1991
Searching for integrable PDE’s by testing Hirota’s three-soliton condition. Zbl 0925.35148
Hietarinta, Jarmo
1991
A search for integrable bilinear equations: The Painlevé approach. Zbl 0729.35133
Grammaticos, B.; Ramani, A.; Hietarinta, J.
1990
Hirota’s bilinear method and partial integrability. Zbl 0717.58024
Hietarinta, J.
1990
A numerical investigation of the one-dimensional Newtonian three-body problem. II: Positive energies. Zbl 0709.70530
Mikkola, Seppo; Hietarinta, Jarmo
1990
Numerical, experimental, and analytical studies of the dissipative Toda lattice. Zbl 0705.35122
Kuusela, T.; Hietarinta, J.
1990
Recent results from the search for bilinear equations having three- soliton solutions. Zbl 0739.35087
Hietarinta, J.
1990
Numerical, experimental, and analytical studies of the dissipative Toda lattice. II: Elastic scattering of solitary waves. Zbl 0718.35082
Kuusela, T.; Hietarinta, J.
1990
A search for bilinear equations passing Hirota’s three-soliton condition. IV: Complex bilinear equations. Zbl 0684.35082
Hietarinta, Jarmo
1988
A search for bilinear equations passing Hirota’s three-soliton condition. I: KdV-type bilinear equations. Zbl 0641.35073
Hietarinta, Jarmo
1987
A search for bilinear equations passing Hirota’s three-soliton condition. II. MKdV-type bilinear equations. Zbl 0658.35081
Hietarinta, Jarmo
1987
A search for bilinear equations passing Hirota’s three-soliton condition. III: Sine-Gordon-type bilinear equations. Zbl 0658.35082
Hietarinta, Jarmo
1987
On the non-integrability of some generalized Toda lattices. Zbl 0667.58021
Yoshida, H.; Ramani, A.; Grammaticos, B.; Hietarinta, J.
1987
Linearization on a submanifold of integrable Hamiltonians with polynomial potentials. Zbl 0601.58030
Ramani, A.; Dorizzi, B.; Grammaticos, B.; Hietarinta, J.
1986
How to construct integrable Fokker-Planck and electromagnetic Hamiltonians from ordinary integrable Hamiltonians. Zbl 0574.70018
Hietarinta, J.
1985
all top 5

#### Cited by 552 Authors

 58 Wazwaz, Abdul-Majid Abdul-Rahman 31 Grammaticos, Basil 31 Ramani, Alfred 16 Zhang, Dajun 15 Ma, Wen-Xiu 15 Nijhoff, Frank W. 12 Joshi, Nalini 12 Tamizhmani, K. M. 11 Hietarinta, Jarmo 8 Gubbiotti, Giorgio 8 Hu, Xingbiao 8 Ohta, Yasuhiro 8 Satsuma, Junkichi 8 Tamizhmani, Thamizharasi 8 Willox, Ralph 8 Zhao, Songlin 7 Kanki, Masataka 7 Mase, Takafumi 7 Sahadevan, Ramajayam 7 Tokihiro, Tetsuji 7 Yan, Duokui 6 Kajiwara, Kenji 6 Korhonen, Risto 6 Simmons, Skyler C. 6 Tanikawa, Kiyotaka 5 Nakazono, Nobutaka 5 Scimiterna, Christian 5 van der Kamp, Peter H. 5 Viallet, Claude Michel 5 Winternitz, Pavel 5 Xenitidis, Pavlos 5 Xia, Tie-Cheng 5 Zhang, Danda 4 Atkinson, James R. 4 Bagderina, Yuliya Yur’evna 4 Bakker, Lennard F. 4 Clarkson, Peter A. 4 Gateva-Ivanova, Tatiana 4 Halburd, Rodney G. 4 Kamiya, Ryo 4 Kassotakis, Pavlos G. 4 Korepanov, Igor Germanovich 4 Levi, Decio 4 Mao, Hui 4 Mikkola, Seppo 4 Ouyang, Tiancheng 4 Saito, Masaya Masayoshi 4 Sergeev, Sergeĭ Mikhaĭlovich 4 Takenawa, Tomoyuki 4 Tsyganov, Andreĭ Vladimirovich 4 Tsuda, Teruhisa 4 Zhou, Yuan 3 Adler, Vsevolod Eduardovich 3 Cârstea, Adrian Ştefan 3 Chakrabarti, Amithaba 3 Dobrev, Vladimir K. 3 Hone, Andrew N. W. 3 Hydon, Peter Ellsworth 3 Johnson, Robin Stanley 3 Kartak, Vera V. 3 Lin, Fang Hua 3 Lobb, Sarah B. 3 Lou, Senyue 3 Mihov, Stephen G. 3 Mikhailov, Alexander Vasil’evich 3 Murakami, Chieko 3 Murakami, Wakako 3 Nishioka, Seiji 3 Ormerod, Christopher Michael 3 Pekcan, Asli 3 Peterson, Pearu 3 Pylyavskyy, Pavlo 3 Quispel, Gilles Reinout Willem 3 Roberts, John Anthony Gerard 3 Sakai, Hidetaka 3 Shabat, Alekseĭ Borisovich 3 Shi, Yang 3 Shi, Ying 3 Sweatman, Winston L. 3 Talalaev, Dmitry V. 3 Vekslerchik, Vadym Yevgenovych 3 Wang, Yunhu 3 Wereszczyński, Andrzej 3 Yang, Yisong 3 Yu, Guofu 3 Zhang, Cheng 3 Zhang, Jilong 2 Angelelli, Mario 2 Arnaudon, Daniel 2 Bazhanov, Vladimir V. 2 Bobenko, Alexander Ivanovich 2 Boelen, Lies 2 Boll, Raphael 2 Cao, Cewen 2 Capel, Hans W. 2 Cariñena, José F. 2 Cheng, Yi 2 Chiang, Yik-Man 2 Conte, Robert M. 2 Crampé, Nicolas ...and 452 more Authors
all top 5

#### Cited in 121 Serials

 79 Journal of Mathematical Physics 46 Applied Mathematics and Computation 37 Journal of Nonlinear Mathematical Physics 23 Theoretical and Mathematical Physics 22 Journal of Physics A: Mathematical and Theoretical 19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16 Chaos, Solitons and Fractals 12 Applied Mathematics Letters 11 Communications in Mathematical Physics 11 Letters in Mathematical Physics 11 Celestial Mechanics and Dynamical Astronomy 11 Communications in Nonlinear Science and Numerical Simulation 10 Journal of Difference Equations and Applications 9 Chaos 8 Journal of Mathematical Analysis and Applications 7 International Journal of Modern Physics A 7 Computers & Mathematics with Applications 7 Mathematical Methods in the Applied Sciences 7 Acta Applicandae Mathematicae 7 Physica D 6 Nuclear Physics. B 6 Physics Letters. A 6 Studies in Applied Mathematics 6 Advances in Difference Equations 6 Frontiers of Mathematics in China 5 Nonlinearity 5 Journal of Geometry and Physics 5 Journal of Algebra 5 Journal of High Energy Physics 4 Communications in Algebra 4 Journal of Statistical Physics 4 Advances in Mathematics 4 Proceedings of the American Mathematical Society 4 Journal of Knot Theory and its Ramifications 4 Nonlinear Dynamics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Modern Physics B 3 Computers and Fluids 3 International Journal of Theoretical Physics 3 Wave Motion 3 Functional Analysis and its Applications 3 Transactions of the American Mathematical Society 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Abstract and Applied Analysis 3 Regular and Chaotic Dynamics 3 The European Physical Journal C. Particles and Fields 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Applicable Analysis 2 Physica A 2 Physics Letters. B 2 Reports on Mathematical Physics 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Japan Journal of Industrial and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Foundations of Computational Mathematics 2 Computational Methods and Function Theory 2 International Journal of Geometric Methods in Modern Physics 2 Waves in Random and Complex Media 2 Advances in Mathematical Physics 2 Journal of Applied Analysis and Computation 2 Journal of Computational Dynamics 2 East Asian Journal on Applied Mathematics 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Science in China. Series A 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Aequationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Selecta Mathematica. New Series 1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 1 Complexity ...and 21 more Serials
all top 5

#### Cited in 47 Fields

 259 Dynamical systems and ergodic theory (37-XX) 223 Partial differential equations (35-XX) 143 Difference and functional equations (39-XX) 81 Quantum theory (81-XX) 78 Ordinary differential equations (34-XX) 59 Mechanics of particles and systems (70-XX) 39 Associative rings and algebras (16-XX) 34 Numerical analysis (65-XX) 30 Special functions (33-XX) 28 Nonassociative rings and algebras (17-XX) 25 Fluid mechanics (76-XX) 23 Statistical mechanics, structure of matter (82-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Algebraic geometry (14-XX) 12 Manifolds and cell complexes (57-XX) 10 Group theory and generalizations (20-XX) 10 Functions of a complex variable (30-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Differential geometry (53-XX) 7 Computer science (68-XX) 5 Number theory (11-XX) 5 Commutative algebra (13-XX) 5 Topological groups, Lie groups (22-XX) 5 Algebraic topology (55-XX) 4 Field theory and polynomials (12-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 2 Category theory; homological algebra (18-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Geophysics (86-XX)

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