×
Author ID: hirota.ryogo Recent zbMATH articles by "Hirota, Ryogo"
Published as: Hirota, Ryogo; Hirota, R.; Hirota, Ryōgo
External Links: Wikidata · GND · IdRef
Documents Indexed: 61 Publications since 1960, including 1 Book
1 Further Contribution
Co-Authors: 18 Co-Authors with 32 Joint Publications
392 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 2,697 times in 2,091 Documents Cited by Year
Exact solution of the Korteweg–de Vries equation for multiple collisions of solitons. Zbl 1168.35423
Hirota, Ryogo
812
1971
The direct method in soliton theory. Translated from the 1992 Japanese original and edited by Atsushi Nagai, Jon Nimmo and Claire Gilson. Zbl 1099.35111
Hirota, Ryogo
338
2004
Exact envelope-soliton solutions of a nonlinear wave equation. Zbl 0257.35052
Hirota, Ryogo
307
1973
A new form of Bäcklund transformations and its relation to the inverse scattering problem. Zbl 1168.37322
Hirota, Ryogo
140
1974
Exact N-soliton solutions of the wave equations of long waves in shallow- water and in nonlinear lattices. Zbl 0261.76008
Hirota, Ryogo
125
1973
\(N\)-soliton solutions of model equations for shallow water waves. Zbl 1334.76016
Hirota, Ryogo; Satsuma, Junkichi
115
1976
Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013
Hirota, Ryogo
84
1977
Hierarchies of coupled soliton equations. I. Zbl 1160.37395
Hirota, Ryogo; Ohta, Yasuhiro
76
1991
Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015
Hirota, Ryogo
65
1977
Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014
Hirota, Ryogo
64
1977
Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603
Hirota, R.
56
1964
Nonlinear evolution equations generated from the Bäcklund transformation for the Boussinesq equation. Zbl 1098.81547
Hirota, Ryogo; Satsuma, Junkichi
48
1977
Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536
Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
35
1993
A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs. Zbl 1055.35100
Hirota, Ryogo; Hu, Xing-Biao; Tang, Xiao-Yan
35
2003
Direct method of finding exact solutions of nonlinear evolution equations. Zbl 0336.35024
Hirota, Ryogo
32
1976
Discretization of the Euler top. Zbl 1058.70504
Hirota, Ryogo; Kimura, Kinji
31
2000
Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078
Iwao, Masataka; Hirota, Ryogo
31
1997
How to find the conserved quantities of nonlinear discrete equations. Zbl 0998.39010
Hirota, Ryogo; Kimura, Kinji; Yahagi, Hideyuki
28
2001
Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501
Hirota, Ryogo; Tsujimoto, Satoshi
27
1995
Discretization of the Lagrange top. Zbl 1058.70506
Kimura, Kinji; Hirota, Ryogo
25
2000
Soliton structure of the Drinfel’d-Sokolov-Wilson equation. Zbl 0638.35071
Hirota, R.; Grammaticos, B.; Ramani, A.
22
1986
Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007
Tsujimoto, Satoshi; Hirota, Ryogo
21
1996
Difference scheme of soliton equations. Zbl 0900.35332
Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
18
1993
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
15
2002
Nonlinear evolution equations generated from the Bäcklund transformation for the Toda lattice. Zbl 1079.35536
Hirota, Ryogo; Satsuma, Junkichi
14
1976
Time-discretization of soliton equations. Zbl 0961.35135
Hirota, Ryogo; Iwao, Masataka
12
2000
Ultradiscrete KdV equation. Zbl 0948.39008
Tsujimoto, Satoshi; Hirota, Ryogo
12
1998
Conserved quantities of “random-time Toda equation”. Zbl 0942.82014
Hirota, Ryogo
11
1997
Nonlinear partial difference equations. IV: Bäcklund transformations for the discrete-time Toda equation. Zbl 1334.39016
Hirota, Ryogo
10
1978
Second modified KdV equation and its exact multisoliton solution. Zbl 1334.35292
Nakamura, Akira; Hirota, Ryogo
10
1980
“Molecule solutions” of coupled modified KdV equations. Zbl 0944.35074
Hirota, Ryogo
10
1997
Soliton equations exhibiting Pfaffian solutions. Zbl 0986.35093
Hirota, Ryogo; Iwao, Masataka; Tsujimoto, Satoshi
8
2001
The Bäcklund and inverse scattering transform of the K-dV equation with nonuniformities. Zbl 1334.81103
Hirota, Ryogo
8
1979
Pfaffian and determinant solutions to a discretized Toda equation for \(B_r\), \(C_r\) and \(D_r\). Zbl 0914.39001
Kuniba, Atsuo; Nakamura, Shuichi; Hirota, Ryogo
8
1996
Reduction of soliton equations in bilinear form. Zbl 0601.35099
Hirota, Ryogo
7
1986
Discretization of coupled modified KdV equations. Zbl 1115.37345
Hirota, Ryogo
6
2000
Discretization of the potential modified KdV equation. Zbl 0946.35081
Hirota, Ryogo
5
1998
New solutions to the ultradiscrete soliton equations. Zbl 1173.39005
Hirota, Ryogo
5
2009
Discretization of the new type of soliton equations. Zbl 1223.35276
Hirota, Ryogo; Ohta, Yasuhiro
4
2007
Soliton solutions of a coupled derivative modified KdV equations. Zbl 0967.35122
Iwao, Masataka; Hirota, Ryogo
3
2000
Discretization of coupled soliton equations. Zbl 1131.35382
Hirota, Ryogo
3
2006
The Bäcklund transformation equations for the ultradiscrete KP equation. Zbl 1052.37056
Shinzawa, Nobuhiko; Hirota, Ryogo
3
2003
Addition formula for Pfaffians. Zbl 1301.39003
Hirota, Ryogo
2
2013
Ultradiscretization of the Tzitzeica equation. Zbl 1076.37065
Hirota, Ryogo; Takahashi, Daisuke
1
2005
Solutions to discrete soliton equations. Zbl 1317.39007
Hirota, Ryogo
1
2014
Bilinear forms of soliton equations. Zbl 0539.70027
Hirota, Ryogo
1
1983
“Recurrence equations”, an integrable system. Zbl 1065.39034
Hirota, Ryogo; Yahagi, Hideyuki
1
2002
Multi-component generalizations of four integrable differential-difference equations: soliton solutions and bilinear Bäcklund transformations. Zbl 1066.35104
Zhao, Jun-Xiao; Hu, Xing-Biao; Hirota, Ryogo
1
2004
Ultradiscrete analogue of the identity of Pfaffians. Zbl 1236.39009
Hirota, Ryogo
1
2009
Solutions to discrete soliton equations. Zbl 1317.39007
Hirota, Ryogo
1
2014
Addition formula for Pfaffians. Zbl 1301.39003
Hirota, Ryogo
2
2013
New solutions to the ultradiscrete soliton equations. Zbl 1173.39005
Hirota, Ryogo
5
2009
Ultradiscrete analogue of the identity of Pfaffians. Zbl 1236.39009
Hirota, Ryogo
1
2009
Discretization of the new type of soliton equations. Zbl 1223.35276
Hirota, Ryogo; Ohta, Yasuhiro
4
2007
Discretization of coupled soliton equations. Zbl 1131.35382
Hirota, Ryogo
3
2006
Ultradiscretization of the Tzitzeica equation. Zbl 1076.37065
Hirota, Ryogo; Takahashi, Daisuke
1
2005
The direct method in soliton theory. Translated from the 1992 Japanese original and edited by Atsushi Nagai, Jon Nimmo and Claire Gilson. Zbl 1099.35111
Hirota, Ryogo
338
2004
Multi-component generalizations of four integrable differential-difference equations: soliton solutions and bilinear Bäcklund transformations. Zbl 1066.35104
Zhao, Jun-Xiao; Hu, Xing-Biao; Hirota, Ryogo
1
2004
A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs. Zbl 1055.35100
Hirota, Ryogo; Hu, Xing-Biao; Tang, Xiao-Yan
35
2003
The Bäcklund transformation equations for the ultradiscrete KP equation. Zbl 1052.37056
Shinzawa, Nobuhiko; Hirota, Ryogo
3
2003
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
15
2002
“Recurrence equations”, an integrable system. Zbl 1065.39034
Hirota, Ryogo; Yahagi, Hideyuki
1
2002
How to find the conserved quantities of nonlinear discrete equations. Zbl 0998.39010
Hirota, Ryogo; Kimura, Kinji; Yahagi, Hideyuki
28
2001
Soliton equations exhibiting Pfaffian solutions. Zbl 0986.35093
Hirota, Ryogo; Iwao, Masataka; Tsujimoto, Satoshi
8
2001
Discretization of the Euler top. Zbl 1058.70504
Hirota, Ryogo; Kimura, Kinji
31
2000
Discretization of the Lagrange top. Zbl 1058.70506
Kimura, Kinji; Hirota, Ryogo
25
2000
Time-discretization of soliton equations. Zbl 0961.35135
Hirota, Ryogo; Iwao, Masataka
12
2000
Discretization of coupled modified KdV equations. Zbl 1115.37345
Hirota, Ryogo
6
2000
Soliton solutions of a coupled derivative modified KdV equations. Zbl 0967.35122
Iwao, Masataka; Hirota, Ryogo
3
2000
Ultradiscrete KdV equation. Zbl 0948.39008
Tsujimoto, Satoshi; Hirota, Ryogo
12
1998
Discretization of the potential modified KdV equation. Zbl 0946.35081
Hirota, Ryogo
5
1998
Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078
Iwao, Masataka; Hirota, Ryogo
31
1997
Conserved quantities of “random-time Toda equation”. Zbl 0942.82014
Hirota, Ryogo
11
1997
“Molecule solutions” of coupled modified KdV equations. Zbl 0944.35074
Hirota, Ryogo
10
1997
Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007
Tsujimoto, Satoshi; Hirota, Ryogo
21
1996
Pfaffian and determinant solutions to a discretized Toda equation for \(B_r\), \(C_r\) and \(D_r\). Zbl 0914.39001
Kuniba, Atsuo; Nakamura, Shuichi; Hirota, Ryogo
8
1996
Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501
Hirota, Ryogo; Tsujimoto, Satoshi
27
1995
Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536
Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
35
1993
Difference scheme of soliton equations. Zbl 0900.35332
Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
18
1993
Hierarchies of coupled soliton equations. I. Zbl 1160.37395
Hirota, Ryogo; Ohta, Yasuhiro
76
1991
Soliton structure of the Drinfel’d-Sokolov-Wilson equation. Zbl 0638.35071
Hirota, R.; Grammaticos, B.; Ramani, A.
22
1986
Reduction of soliton equations in bilinear form. Zbl 0601.35099
Hirota, Ryogo
7
1986
Bilinear forms of soliton equations. Zbl 0539.70027
Hirota, Ryogo
1
1983
Second modified KdV equation and its exact multisoliton solution. Zbl 1334.35292
Nakamura, Akira; Hirota, Ryogo
10
1980
The Bäcklund and inverse scattering transform of the K-dV equation with nonuniformities. Zbl 1334.81103
Hirota, Ryogo
8
1979
Nonlinear partial difference equations. IV: Bäcklund transformations for the discrete-time Toda equation. Zbl 1334.39016
Hirota, Ryogo
10
1978
Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013
Hirota, Ryogo
84
1977
Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015
Hirota, Ryogo
65
1977
Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014
Hirota, Ryogo
64
1977
Nonlinear evolution equations generated from the Bäcklund transformation for the Boussinesq equation. Zbl 1098.81547
Hirota, Ryogo; Satsuma, Junkichi
48
1977
\(N\)-soliton solutions of model equations for shallow water waves. Zbl 1334.76016
Hirota, Ryogo; Satsuma, Junkichi
115
1976
Direct method of finding exact solutions of nonlinear evolution equations. Zbl 0336.35024
Hirota, Ryogo
32
1976
Nonlinear evolution equations generated from the Bäcklund transformation for the Toda lattice. Zbl 1079.35536
Hirota, Ryogo; Satsuma, Junkichi
14
1976
A new form of Bäcklund transformations and its relation to the inverse scattering problem. Zbl 1168.37322
Hirota, Ryogo
140
1974
Exact envelope-soliton solutions of a nonlinear wave equation. Zbl 0257.35052
Hirota, Ryogo
307
1973
Exact N-soliton solutions of the wave equations of long waves in shallow- water and in nonlinear lattices. Zbl 0261.76008
Hirota, Ryogo
125
1973
Exact solution of the Korteweg–de Vries equation for multiple collisions of solitons. Zbl 1168.35423
Hirota, Ryogo
812
1971
Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603
Hirota, R.
56
1964
all top 5

Cited by 2,287 Authors

88 Wazwaz, Abdul-Majid Abdul-Rahman
70 Tian, Bo
45 Ma, Wen-Xiu
36 Hu, Xingbiao
33 Zhang, Dajun
31 Tian, Shoufu
30 Gao, Yitian
30 Liu, Wenjun J.
30 Zhang, Sheng
27 Tam, Hon-Wah
26 Khalique, Chaudry Masood
26 Lü, Xing
23 Zhang, Yi
19 Wang, Pan
18 Grammaticos, Basil
17 Ramani, Alfred
16 Yan, Zhenya
16 Zayed, Elsayed M. E.
15 Dai, Zhengde
15 Jiang, Yan
15 Yu, Guofu
15 Zhang, Hongqing
14 Meng, Xianghua
14 Nakamura, Yoshimasa
13 Feng, Baofeng
13 He, Jingsong
13 Ohta, Yasuhiro
13 Suris, Yuri Borisovich
13 Xu, Tao
13 Yu, Xin
13 Zhang, Yingnan
12 Qu, Qixing
12 Satsuma, Junkichi
12 Zhang, Haiqiang
12 Zhang, Tiantian
11 Ali Akbar, M.
11 Chen, Yong
11 Doliwa, Adam
11 Fan, Engui
11 Geng, Xianguo
11 Guo, Boling
11 Iwasaki, Masashi
11 Kudryashov, Nikolaĭ Alekseevich
11 Li, Bangqing
11 Li, Biao
11 Li, Min
11 Lou, Senyue
11 Sun, Kun
11 Vitanov, Nikolay K.
11 Zhang, Yufeng
10 Adem, Abdullahi Rashid
10 Biswas, Anjan
10 Inc, Mustafa
10 Kofané, Timoléon Crépin
10 Li, Jibin
10 Lin, Ji
10 Ma, Yulan
10 Nijhoff, Frank W.
10 Petrera, Matteo
10 Quispel, Gilles Reinout Willem
10 Seadawy, Aly R.
10 Sun, Jianqing
10 Wen, Xiaoyong
10 Willox, Ralph
10 Zhao, Songlin
10 Zhu, Zuonong
9 He, Yi
9 Hone, Andrew N. W.
9 Li, Shihao
9 Ma, Zhengyi
9 Matveev, Vladimir B.
9 Sun, Zhiyuan
9 Wang, Ming
9 Xu, Bo
9 Yaşar, Emrullah
9 Zhao, Junxiao
9 Zhen, Hui-Ling
8 Chen, Dengyuan
8 Chen, Junchao
8 Deng, Shufang
8 Dimitrova, Zlatinka I.
8 Kajiwara, Kenji
8 Lan, Zhongzhou
8 Li, Chunxia
8 Liu, Jianguo
8 Shen, Shoufeng
8 Tokihiro, Tetsuji
8 Triki, Houria
8 Xia, Tie-Cheng
8 Zhao, Haiqiong
7 Ablowitz, Mark Jay
7 Alurrfi, Khaled A. E.
7 Bekir, Ahmet
7 Chang, Xiangke
7 Dong, Huanhe
7 Gegenhasi
7 Gubbiotti, Giorgio
7 Khan, Kamruzzaman
7 Li, Donglong
7 Ling, Liming
...and 2,187 more Authors
all top 5

Cited in 275 Serials

180 Applied Mathematics and Computation
153 Journal of Mathematical Physics
118 Nonlinear Dynamics
78 Chaos, Solitons and Fractals
71 Communications in Nonlinear Science and Numerical Simulation
52 Theoretical and Mathematical Physics
52 Journal of Physics A: Mathematical and Theoretical
51 Applied Mathematics Letters
44 International Journal of Modern Physics B
42 Computers & Mathematics with Applications
40 Physics Letters. A
39 Journal of Nonlinear Mathematical Physics
36 Physica D
32 Studies in Applied Mathematics
31 Advances in Difference Equations
30 Communications in Theoretical Physics
28 Mathematical Methods in the Applied Sciences
24 Communications in Mathematical Physics
24 Journal of Mathematical Analysis and Applications
24 Abstract and Applied Analysis
23 Journal of Geometry and Physics
22 Advances in Mathematical Physics
21 Wave Motion
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Waves in Random and Complex Media
19 Letters in Mathematical Physics
19 Mathematical Problems in Engineering
15 Acta Applicandae Mathematicae
14 Numerical Algorithms
14 International Journal of Computer Mathematics
13 Mathematics and Computers in Simulation
13 International Journal of Applied and Computational Mathematics
12 Chaos
12 Journal of Applied Analysis and Computation
11 International Journal of Theoretical Physics
11 Reports on Mathematical Physics
11 Journal of Shanghai University
11 Qualitative Theory of Dynamical Systems
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 East Asian Journal on Applied Mathematics
10 Journal of Computational and Applied Mathematics
10 Journal of the Egyptian Mathematical Society
10 Complexity
10 Mathematical Physics, Analysis and Geometry
10 Journal of Modern Optics
10 AIMS Mathematics
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Journal of Applied Mathematics
8 Nuclear Physics. B
8 Acta Mathematicae Applicatae Sinica. English Series
8 Japan Journal of Industrial and Applied Mathematics
8 Frontiers of Mathematics in China
8 Analysis and Mathematical Physics
7 Modern Physics Letters A
7 Modern Physics Letters B
7 Nonlinearity
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Journal of Nonlinear Science
7 International Journal of Nonlinear Sciences and Numerical Simulation
6 Computers and Fluids
6 Advances in Mathematics
6 Journal of Difference Equations and Applications
6 Journal of High Energy Physics
6 International Journal of Modern Physics C
6 International Journal of Geometric Methods in Modern Physics
6 Discrete and Continuous Dynamical Systems. Series S
6 Science China. Mathematics
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Applicable Analysis
5 Computer Physics Communications
5 Journal of Fluid Mechanics
5 Physica A
5 Proceedings of the American Mathematical Society
5 Mathematical and Computer Modelling
5 Computational Mathematics and Mathematical Physics
5 Linear Algebra and its Applications
5 Applied Mathematics. Series B (English Edition)
5 Journal of Applied Mathematics and Computing
5 Symmetry
5 Journal of Applied Nonlinear Dynamics
5 Journal of Function Spaces
4 Journal of Computational Physics
4 Journal of Theoretical and Applied Mechanics (Sofia)
4 Aplikace Matematiky
4 Inventiones Mathematicae
4 Proceedings of the Japan Academy. Series A
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Transactions of the American Mathematical Society
4 Applied Mathematics and Mechanics. (English Edition)
4 Numerical Methods for Partial Differential Equations
4 Acta Mechanica Sinica. (English Edition)
4 Journal of Mathematical Sciences (New York)
4 St. Petersburg Mathematical Journal
4 Fractals
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Regular and Chaotic Dynamics
4 Nonlinear Analysis. Real World Applications
4 Mathematical Modelling of Natural Phenomena
4 Advances in Applied Mathematics and Mechanics
4 Journal of Computational Dynamics
...and 175 more Serials
all top 5

Cited in 53 Fields

1,628 Partial differential equations (35-XX)
953 Dynamical systems and ergodic theory (37-XX)
204 Fluid mechanics (76-XX)
179 Numerical analysis (65-XX)
166 Difference and functional equations (39-XX)
106 Quantum theory (81-XX)
86 Ordinary differential equations (34-XX)
84 Optics, electromagnetic theory (78-XX)
83 Computer science (68-XX)
75 Statistical mechanics, structure of matter (82-XX)
59 Algebraic geometry (14-XX)
42 Special functions (33-XX)
37 Mechanics of particles and systems (70-XX)
36 Differential geometry (53-XX)
33 Nonassociative rings and algebras (17-XX)
32 Global analysis, analysis on manifolds (58-XX)
32 Mechanics of deformable solids (74-XX)
22 Biology and other natural sciences (92-XX)
21 Operator theory (47-XX)
19 Approximations and expansions (41-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Real functions (26-XX)
13 Relativity and gravitational theory (83-XX)
12 Associative rings and algebras (16-XX)
12 Topological groups, Lie groups (22-XX)
11 Combinatorics (05-XX)
11 Probability theory and stochastic processes (60-XX)
9 Number theory (11-XX)
9 Geophysics (86-XX)
8 Commutative algebra (13-XX)
8 Integral equations (45-XX)
7 Functions of a complex variable (30-XX)
7 Systems theory; control (93-XX)
6 Geometry (51-XX)
5 History and biography (01-XX)
5 Convex and discrete geometry (52-XX)
5 Statistics (62-XX)
5 Astronomy and astrophysics (85-XX)
5 Information and communication theory, circuits (94-XX)
4 Measure and integration (28-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Group theory and generalizations (20-XX)
3 Functional analysis (46-XX)
2 Field theory and polynomials (12-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 \(K\)-theory (19-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.