## Hirota, Ryogo

Compute Distance To:
 Author ID: hirota.ryogo Published as: Hirota, Ryogo; Hirota, R.; Hirota, Ryōgo more...less 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 373 Co-Co-Authors
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### Co-Authors

 26 single-authored 9 Tsujimoto, Satoshi 7 Iwao, Masataka 6 Ohta, Yasuhiro 4 Grammaticos, Basil 4 Kimura, Kinji 4 Ramani, Alfred 3 Imai, Tatsuya 3 Satsuma, Junkichi 3 Takahashi, Daisuke A. 3 Yahagi, Hideyuki 2 Hu, Xingbiao 1 Aoki, Kazuhiko 1 Date, Etsuro 1 Flaschka, Hermann 1 Gilson, Claire R. 1 Ichikawa, Yoshi-Hiko 1 Ito, Mitsuhiro 1 Jimbo, Michio 1 Kametaka, Yoshinori 1 1 Konno, Kimiaki 1 Kuniba, Atsuo 1 Miwa, Tetsuji 1 Nagai, Atsushi 1 Nakamura, Shuichi 1 Nakamura, Yoshimasa 1 Nimmo, Jon J. 1 Oishi, Shin’ichi 1 Sato, Mikio 1 Sato, Yasuko 1 Shibata, Ryoichi 1 Shimizu, Toru 1 Shinzawa, Nobuhiko 1 Takeno, Shōzū 1 Tang, Xiaoyan 1 Toda, Morikazu 1 Tosima, S. 1 Ueno, Kisaburō 1 Wadachi, Mitsuki 1 Wadati, Miki 1 Zhao, Junxiao
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### Serials

 25 Journal of the Physical Society of Japan 4 Journal of Physics A: Mathematical and General 4 RIMS Kôkyûroku Bessatsu 3 Journal of Mathematical Physics 3 RIMS Kokyuroku 3 Progress of Theoretical Physics 2 Physics Letters. A 2 Glasgow Mathematical Journal 1 Journal of Mathematical Analysis and Applications 1 Chaos, Solitons and Fractals 1 Mathematics and Computers in Simulation 1 Studies in Applied Mathematics 1 Physica D 1 Physical Review Letters 1 Physical Review, II. Series 1 Cambridge Tracts in Mathematics 1 RIMS Kokyuroku
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### Fields

 40 Partial differential equations (35-XX) 38 Dynamical systems and ergodic theory (37-XX) 20 Difference and functional equations (39-XX) 5 Quantum theory (81-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

48 Publications have been cited 2,409 times in 1,869 Documents Cited by Year
Exact solution of the Korteweg–de Vries equation for multiple collisions of solitons. Zbl 1168.35423
Hirota, Ryogo
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
2004
Exact envelope-soliton solutions of a nonlinear wave equation. Zbl 0257.35052
Hirota, Ryogo
1973
A new form of Bäcklund transformations and its relation to the inverse scattering problem. Zbl 1168.37322
Hirota, Ryogo
1974
Exact N-soliton solutions of the wave equations of long waves in shallow- water and in nonlinear lattices. Zbl 0261.76008
Hirota, Ryogo
1973
$$N$$-soliton solutions of model equations for shallow water waves. Zbl 1334.76016
Hirota, Ryogo; Satsuma, Junkichi
1976
Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013
Hirota, Ryogo
1977
Hierarchies of coupled soliton equations. I. Zbl 1160.37395
Hirota, Ryogo; Ohta, Yasuhiro
1991
Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603
Hirota, R.
1964
Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014
Hirota, Ryogo
1977
Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015
Hirota, Ryogo
1977
Nonlinear evolution equations generated from the Bäcklund transformation for the Boussinesq equation. Zbl 1098.81547
Hirota, Ryogo; Satsuma, Junkichi
1977
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
2003
Direct method of finding exact solutions of nonlinear evolution equations. Zbl 0336.35024
Hirota, Ryogo
1976
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
1993
Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078
Iwao, Masataka; Hirota, Ryogo
1997
Discretization of the Euler top. Zbl 1058.70504
Hirota, Ryogo; Kimura, Kinji
2000
Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501
Hirota, Ryogo; Tsujimoto, Satoshi
1995
How to find the conserved quantities of nonlinear discrete equations. Zbl 0998.39010
Hirota, Ryogo; Kimura, Kinji; Yahagi, Hideyuki
2001
Soliton structure of the Drinfel’d-Sokolov-Wilson equation. Zbl 0638.35071
Hirota, R.; Grammaticos, B.; Ramani, A.
1986
Discretization of the Lagrange top. Zbl 1058.70506
Kimura, Kinji; Hirota, Ryogo
2000
Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007
Tsujimoto, Satoshi; Hirota, Ryogo
1996
Difference scheme of soliton equations. Zbl 0900.35332
Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
1993
Nonlinear evolution equations generated from the Bäcklund transformation for the Toda lattice. Zbl 1079.35536
Hirota, Ryogo; Satsuma, Junkichi
1976
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
2002
Time-discretization of soliton equations. Zbl 0961.35135
Hirota, Ryogo; Iwao, Masataka
2000
Tsujimoto, Satoshi; Hirota, Ryogo
1998
Conserved quantities of “random-time Toda equation”. Zbl 0942.82014
Hirota, Ryogo
1997
Nonlinear partial difference equations. IV: Bäcklund transformations for the discrete-time Toda equation. Zbl 1334.39016
Hirota, Ryogo
1978
Second modified KdV equation and its exact multisoliton solution. Zbl 1334.35292
Nakamura, Akira; Hirota, Ryogo
1980
“Molecule solutions” of coupled modified KdV equations. Zbl 0944.35074
Hirota, Ryogo
1997
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
1996
The Bäcklund and inverse scattering transform of the K-dV equation with nonuniformities. Zbl 1334.81103
Hirota, Ryogo
1979
Soliton equations exhibiting Pfaffian solutions. Zbl 0986.35093
Hirota, Ryogo; Iwao, Masataka; Tsujimoto, Satoshi
2001
Reduction of soliton equations in bilinear form. Zbl 0601.35099
Hirota, Ryogo
1986
Discretization of coupled modified KdV equations. Zbl 1115.37345
Hirota, Ryogo
2000
Discretization of coupled soliton equations. Zbl 1131.35382
Hirota, Ryogo
2006
Soliton solutions of a coupled derivative modified KdV equations. Zbl 0967.35122
Iwao, Masataka; Hirota, Ryogo
2000
Discretization of the potential modified KdV equation. Zbl 0946.35081
Hirota, Ryogo
1998
New solutions to the ultradiscrete soliton equations. Zbl 1173.39005
Hirota, Ryogo
2009
The Bäcklund transformation equations for the ultradiscrete KP equation. Zbl 1052.37056
Shinzawa, Nobuhiko; Hirota, Ryogo
2003
Discretization of the new type of soliton equations. Zbl 1223.35276
Hirota, Ryogo; Ohta, Yasuhiro
2007
“Recurrence equations”, an integrable system. Zbl 1065.39034
Hirota, Ryogo; Yahagi, Hideyuki
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
2004
Bilinear forms of soliton equations. Zbl 0539.70027
Hirota, Ryogo
1983
Ultradiscretization of the Tzitzeica equation. Zbl 1076.37065
Hirota, Ryogo; Takahashi, Daisuke
2005
Ultradiscrete analogue of the identity of Pfaffians. Zbl 1236.39009
Hirota, Ryogo
2009
Addition formula for Pfaffians. Zbl 1301.39003
Hirota, Ryogo
2013
Addition formula for Pfaffians. Zbl 1301.39003
Hirota, Ryogo
2013
New solutions to the ultradiscrete soliton equations. Zbl 1173.39005
Hirota, Ryogo
2009
Ultradiscrete analogue of the identity of Pfaffians. Zbl 1236.39009
Hirota, Ryogo
2009
Discretization of the new type of soliton equations. Zbl 1223.35276
Hirota, Ryogo; Ohta, Yasuhiro
2007
Discretization of coupled soliton equations. Zbl 1131.35382
Hirota, Ryogo
2006
Ultradiscretization of the Tzitzeica equation. Zbl 1076.37065
Hirota, Ryogo; Takahashi, Daisuke
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
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
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
2003
The Bäcklund transformation equations for the ultradiscrete KP equation. Zbl 1052.37056
Shinzawa, Nobuhiko; Hirota, Ryogo
2003
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
2002
“Recurrence equations”, an integrable system. Zbl 1065.39034
Hirota, Ryogo; Yahagi, Hideyuki
2002
How to find the conserved quantities of nonlinear discrete equations. Zbl 0998.39010
Hirota, Ryogo; Kimura, Kinji; Yahagi, Hideyuki
2001
Soliton equations exhibiting Pfaffian solutions. Zbl 0986.35093
Hirota, Ryogo; Iwao, Masataka; Tsujimoto, Satoshi
2001
Discretization of the Euler top. Zbl 1058.70504
Hirota, Ryogo; Kimura, Kinji
2000
Discretization of the Lagrange top. Zbl 1058.70506
Kimura, Kinji; Hirota, Ryogo
2000
Time-discretization of soliton equations. Zbl 0961.35135
Hirota, Ryogo; Iwao, Masataka
2000
Discretization of coupled modified KdV equations. Zbl 1115.37345
Hirota, Ryogo
2000
Soliton solutions of a coupled derivative modified KdV equations. Zbl 0967.35122
Iwao, Masataka; Hirota, Ryogo
2000
Tsujimoto, Satoshi; Hirota, Ryogo
1998
Discretization of the potential modified KdV equation. Zbl 0946.35081
Hirota, Ryogo
1998
Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078
Iwao, Masataka; Hirota, Ryogo
1997
Conserved quantities of “random-time Toda equation”. Zbl 0942.82014
Hirota, Ryogo
1997
“Molecule solutions” of coupled modified KdV equations. Zbl 0944.35074
Hirota, Ryogo
1997
Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007
Tsujimoto, Satoshi; Hirota, Ryogo
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
1996
Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501
Hirota, Ryogo; Tsujimoto, Satoshi
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
1993
Difference scheme of soliton equations. Zbl 0900.35332
Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
1993
Hierarchies of coupled soliton equations. I. Zbl 1160.37395
Hirota, Ryogo; Ohta, Yasuhiro
1991
Soliton structure of the Drinfel’d-Sokolov-Wilson equation. Zbl 0638.35071
Hirota, R.; Grammaticos, B.; Ramani, A.
1986
Reduction of soliton equations in bilinear form. Zbl 0601.35099
Hirota, Ryogo
1986
Bilinear forms of soliton equations. Zbl 0539.70027
Hirota, Ryogo
1983
Second modified KdV equation and its exact multisoliton solution. Zbl 1334.35292
Nakamura, Akira; Hirota, Ryogo
1980
The Bäcklund and inverse scattering transform of the K-dV equation with nonuniformities. Zbl 1334.81103
Hirota, Ryogo
1979
Nonlinear partial difference equations. IV: Bäcklund transformations for the discrete-time Toda equation. Zbl 1334.39016
Hirota, Ryogo
1978
Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013
Hirota, Ryogo
1977
Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014
Hirota, Ryogo
1977
Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015
Hirota, Ryogo
1977
Nonlinear evolution equations generated from the Bäcklund transformation for the Boussinesq equation. Zbl 1098.81547
Hirota, Ryogo; Satsuma, Junkichi
1977
$$N$$-soliton solutions of model equations for shallow water waves. Zbl 1334.76016
Hirota, Ryogo; Satsuma, Junkichi
1976
Direct method of finding exact solutions of nonlinear evolution equations. Zbl 0336.35024
Hirota, Ryogo
1976
Nonlinear evolution equations generated from the Bäcklund transformation for the Toda lattice. Zbl 1079.35536
Hirota, Ryogo; Satsuma, Junkichi
1976
A new form of Bäcklund transformations and its relation to the inverse scattering problem. Zbl 1168.37322
Hirota, Ryogo
1974
Exact envelope-soliton solutions of a nonlinear wave equation. Zbl 0257.35052
Hirota, Ryogo
1973
Exact N-soliton solutions of the wave equations of long waves in shallow- water and in nonlinear lattices. Zbl 0261.76008
Hirota, Ryogo
1973
Exact solution of the Korteweg–de Vries equation for multiple collisions of solitons. Zbl 1168.35423
Hirota, Ryogo
1971
Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603
Hirota, R.
1964
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### Cited by 2,027 Authors

 86 Wazwaz, Abdul-Majid Abdul-Rahman 64 Tian, Bo 45 Ma, Wen-Xiu 36 Hu, Xingbiao 30 Liu, Wenjun J. 30 Zhang, Dajun 29 Zhang, Sheng 25 Lü, Xing 25 Tian, Shoufu 24 Gao, Yitian 22 Khalique, Chaudry Masood 20 Zhang, Yi 19 Wang, Pan 16 Grammaticos, Basil 16 Ramani, Alfred 15 Dai, Zhengde 15 Jiang, Yan 15 Zayed, Elsayed M. E. 15 Zhang, Hongqing 14 Meng, Xianghua 14 Yan, Zhenya 13 Nakamura, Yoshimasa 13 Ohta, Yasuhiro 13 Yu, Guofu 12 Qu, Qixing 12 Zhang, Yingnan 11 Fan, Engui 11 Guo, Boling 11 He, Jingsong 11 Kudryashov, Nikolaĭ Alekseevich 11 Li, Min 11 Satsuma, Junkichi 11 Sun, Kun 11 Suris, Yuri Borisovich 11 Vitanov, Nikolay K. 11 Wen, Xiaoyong 11 Xu, Tao 11 Yu, Xin 11 Zhang, Haiqiang 11 Zhang, Tiantian 11 Zhang, Yufeng 10 Adem, Abdullahi Rashid 10 Biswas, Anjan 10 Chang, Xiangke 10 Chen, Yong 10 Feng, Baofeng 10 Geng, Xianguo 10 He, Yi 10 Iwasaki, Masashi 10 Kofané, Timoléon Crépin 10 Li, Jibin 10 Wang, Ming 9 Ali Akbar, M. 9 Lou, Senyue 9 Petrera, Matteo 9 Sun, Zhiyuan 9 Zhao, Junxiao 9 Zhu, Zuonong 8 Chen, Dengyuan 8 Deng, Shufang 8 Dimitrova, Zlatinka I. 8 Doliwa, Adam 8 Li, Biao 8 Li, Chunxia 8 Ma, Zhengyi 8 Matveev, Vladimir B. 8 Nijhoff, Frank W. 8 Seadawy, Aly R. 8 Wang, Yufeng 8 Willox, Ralph 8 Xia, Tie-Cheng 8 Xu, Bo 8 Zhao, Haiqiong 8 Zhao, Songlin 7 Ablowitz, Mark Jay 7 Alurrfi, Khaled A. E. 7 Chen, Junchao 7 Dong, Huanhe 7 Gegenhasi 7 Gubbiotti, Giorgio 7 Inc, Mustafa 7 Kajiwara, Kenji 7 Li, Bangqing 7 Li, Shihao 7 Lin, Ji 7 Ling, Liming 7 Maruno, Kenichi 7 Quispel, Gilles Reinout Willem 7 Shan, Wenrui 7 Shen, Shoufeng 7 Sun, Jianqing 7 Sun, Yepeng 7 Tokihiro, Tetsuji 7 Triki, Houria 7 Wang, Chuanjian 7 Wang, Dengshan 7 Yaşar, Emrullah 7 Zhang, Cheng 7 Zhen, Hui-Ling 7 Zhou, Qin ...and 1,927 more Authors
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### Cited in 260 Serials

 177 Applied Mathematics and Computation 146 Journal of Mathematical Physics 108 Nonlinear Dynamics 75 Chaos, Solitons and Fractals 66 Communications in Nonlinear Science and Numerical Simulation 43 Theoretical and Mathematical Physics 43 Applied Mathematics Letters 42 Computers & Mathematics with Applications 39 International Journal of Modern Physics B 35 Journal of Nonlinear Mathematical Physics 34 Physica D 31 Advances in Difference Equations 30 Studies in Applied Mathematics 26 Mathematical Methods in the Applied Sciences 24 Physics Letters. A 24 Abstract and Applied Analysis 22 Communications in Mathematical Physics 22 Journal of Geometry and Physics 22 Journal of Physics A: Mathematical and Theoretical 21 Journal of Mathematical Analysis and Applications 21 Advances in Mathematical Physics 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Letters in Mathematical Physics 19 Wave Motion 18 Mathematical Problems in Engineering 15 Acta Applicandae Mathematicae 15 Communications in Theoretical Physics 14 Numerical Algorithms 14 International Journal of Computer Mathematics 14 Waves in Random and Complex Media 13 International Journal of Applied and Computational Mathematics 12 Chaos 12 Journal of Applied Analysis and Computation 11 Reports on Mathematical Physics 11 Journal of Shanghai University 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 International Journal of Theoretical Physics 10 Journal of Computational and Applied Mathematics 10 Journal of the Egyptian Mathematical Society 10 Mathematical Physics, Analysis and Geometry 10 Journal of Modern Optics 10 AIMS Mathematics 9 Mathematics and Computers in Simulation 9 Complexity 9 Journal of Applied Mathematics 9 East Asian Journal on Applied Mathematics 8 Nuclear Physics. B 8 Acta Mathematicae Applicatae Sinica. English Series 8 Frontiers of Mathematics in China 7 Modern Physics Letters B 7 Japan Journal of Industrial and Applied Mathematics 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Qualitative Theory of Dynamical Systems 7 Analysis and Mathematical Physics 6 Computers and Fluids 6 Journal of Difference Equations and Applications 6 International Journal of Modern Physics C 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 Nonlinearity 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 High Energy Physics 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Journal of Applied Mathematics and Computing 5 Symmetry 5 Journal of Applied Nonlinear Dynamics 4 Journal of Computational Physics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Theoretical and Applied Mechanics (Sofia) 4 Advances in Mathematics 4 Aplikace Matematiky 4 Inventiones Mathematicae 4 Proceedings of the American Mathematical Society 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 Acta Mechanica Sinica. (English Edition) 4 Journal of Nonlinear Science 4 Journal of Mathematical Sciences (New York) 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 4 Journal of Function Spaces 3 Modern Physics Letters A 3 Astrophysics and Space Science 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of the Franklin Institute 3 Physica A 3 Journal of Differential Equations ...and 160 more Serials
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### Cited in 52 Fields

 1,463 Partial differential equations (35-XX) 838 Dynamical systems and ergodic theory (37-XX) 177 Fluid mechanics (76-XX) 162 Numerical analysis (65-XX) 135 Difference and functional equations (39-XX) 89 Quantum theory (81-XX) 80 Ordinary differential equations (34-XX) 73 Computer science (68-XX) 71 Optics, electromagnetic theory (78-XX) 65 Statistical mechanics, structure of matter (82-XX) 51 Algebraic geometry (14-XX) 38 Special functions (33-XX) 34 Mechanics of particles and systems (70-XX) 32 Nonassociative rings and algebras (17-XX) 32 Differential geometry (53-XX) 30 Global analysis, analysis on manifolds (58-XX) 26 Mechanics of deformable solids (74-XX) 18 Operator theory (47-XX) 18 Biology and other natural sciences (92-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Approximations and expansions (41-XX) 11 Associative rings and algebras (16-XX) 10 Real functions (26-XX) 9 Combinatorics (05-XX) 9 Integral equations (45-XX) 9 Relativity and gravitational theory (83-XX) 8 Number theory (11-XX) 8 Topological groups, Lie groups (22-XX) 8 Probability theory and stochastic processes (60-XX) 6 Commutative algebra (13-XX) 6 Geophysics (86-XX) 6 Systems theory; control (93-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 4 Information and communication theory, circuits (94-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-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 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX)

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