Edit Profile (opens in new tab) Hirota, Ryogo Compute Distance To: Compute 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 all top 5 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 Kodera, Takeyasu 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 2,483 times in 1,927 Documents Cited by ▼ Year ▼ Exact solution of the Korteweg–de Vries equation for multiple collisions of solitons. Zbl 1168.35423Hirota, Ryogo 769 1971 The direct method in soliton theory. Translated from the 1992 Japanese original and edited by Atsushi Nagai, Jon Nimmo and Claire Gilson. Zbl 1099.35111Hirota, Ryogo 302 2004 Exact envelope-soliton solutions of a nonlinear wave equation. Zbl 0257.35052Hirota, Ryogo 277 1973 A new form of Bäcklund transformations and its relation to the inverse scattering problem. Zbl 1168.37322Hirota, Ryogo 135 1974 Exact N-soliton solutions of the wave equations of long waves in shallow- water and in nonlinear lattices. Zbl 0261.76008Hirota, Ryogo 123 1973 \(N\)-soliton solutions of model equations for shallow water waves. Zbl 1334.76016Hirota, Ryogo; Satsuma, Junkichi 110 1976 Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013Hirota, Ryogo 74 1977 Hierarchies of coupled soliton equations. I. Zbl 1160.37395Hirota, Ryogo; Ohta, Yasuhiro 66 1991 Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015Hirota, Ryogo 58 1977 Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014Hirota, Ryogo 57 1977 Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603Hirota, R. 56 1964 Nonlinear evolution equations generated from the Bäcklund transformation for the Boussinesq equation. Zbl 1098.81547Hirota, Ryogo; Satsuma, Junkichi 43 1977 A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs. Zbl 1055.35100Hirota, Ryogo; Hu, Xing-Biao; Tang, Xiao-Yan 34 2003 Direct method of finding exact solutions of nonlinear evolution equations. Zbl 0336.35024Hirota, Ryogo 30 1976 Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya 30 1993 Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078Iwao, Masataka; Hirota, Ryogo 26 1997 Discretization of the Euler top. Zbl 1058.70504Hirota, Ryogo; Kimura, Kinji 25 2000 Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501Hirota, Ryogo; Tsujimoto, Satoshi 24 1995 How to find the conserved quantities of nonlinear discrete equations. Zbl 0998.39010Hirota, Ryogo; Kimura, Kinji; Yahagi, Hideyuki 24 2001 Soliton structure of the Drinfel’d-Sokolov-Wilson equation. Zbl 0638.35071Hirota, R.; Grammaticos, B.; Ramani, A. 21 1986 Discretization of the Lagrange top. Zbl 1058.70506Kimura, Kinji; Hirota, Ryogo 20 2000 Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007Tsujimoto, Satoshi; Hirota, Ryogo 18 1996 Difference scheme of soliton equations. Zbl 0900.35332Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya 16 1993 Nonlinear evolution equations generated from the Bäcklund transformation for the Toda lattice. Zbl 1079.35536Hirota, Ryogo; Satsuma, Junkichi 14 1976 A new class of integrable discrete systems. Zbl 1042.37012Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y. 14 2002 Ultradiscrete KdV equation. Zbl 0948.39008Tsujimoto, Satoshi; Hirota, Ryogo 11 1998 Time-discretization of soliton equations. Zbl 0961.35135Hirota, Ryogo; Iwao, Masataka 11 2000 Nonlinear partial difference equations. IV: Bäcklund transformations for the discrete-time Toda equation. Zbl 1334.39016Hirota, Ryogo 10 1978 Second modified KdV equation and its exact multisoliton solution. Zbl 1334.35292Nakamura, Akira; Hirota, Ryogo 10 1980 Conserved quantities of “random-time Toda equation”. Zbl 0942.82014Hirota, Ryogo 10 1997 The Bäcklund and inverse scattering transform of the K-dV equation with nonuniformities. Zbl 1334.81103Hirota, Ryogo 8 1979 “Molecule solutions” of coupled modified KdV equations. Zbl 0944.35074Hirota, Ryogo 8 1997 Pfaffian and determinant solutions to a discretized Toda equation for \(B_r\), \(C_r\) and \(D_r\). Zbl 0914.39001Kuniba, Atsuo; Nakamura, Shuichi; Hirota, Ryogo 8 1996 Reduction of soliton equations in bilinear form. Zbl 0601.35099Hirota, Ryogo 6 1986 Soliton equations exhibiting Pfaffian solutions. Zbl 0986.35093Hirota, Ryogo; Iwao, Masataka; Tsujimoto, Satoshi 6 2001 Discretization of coupled modified KdV equations. Zbl 1115.37345Hirota, Ryogo 5 2000 New solutions to the ultradiscrete soliton equations. Zbl 1173.39005Hirota, Ryogo 3 2009 Discretization of the new type of soliton equations. Zbl 1223.35276Hirota, Ryogo; Ohta, Yasuhiro 3 2007 Discretization of coupled soliton equations. Zbl 1131.35382Hirota, Ryogo 3 2006 Soliton solutions of a coupled derivative modified KdV equations. Zbl 0967.35122Iwao, Masataka; Hirota, Ryogo 3 2000 Discretization of the potential modified KdV equation. Zbl 0946.35081Hirota, Ryogo 3 1998 The Bäcklund transformation equations for the ultradiscrete KP equation. Zbl 1052.37056Shinzawa, Nobuhiko; Hirota, Ryogo 3 2003 Addition formula for Pfaffians. Zbl 1301.39003Hirota, Ryogo 1 2013 “Recurrence equations”, an integrable system. Zbl 1065.39034Hirota, Ryogo; Yahagi, Hideyuki 1 2002 Multi-component generalizations of four integrable differential-difference equations: soliton solutions and bilinear Bäcklund transformations. Zbl 1066.35104Zhao, Jun-Xiao; Hu, Xing-Biao; Hirota, Ryogo 1 2004 Ultradiscretization of the Tzitzeica equation. Zbl 1076.37065Hirota, Ryogo; Takahashi, Daisuke 1 2005 Ultradiscrete analogue of the identity of Pfaffians. Zbl 1236.39009Hirota, Ryogo 1 2009 Bilinear forms of soliton equations. Zbl 0539.70027Hirota, Ryogo 1 1983 Addition formula for Pfaffians. Zbl 1301.39003Hirota, Ryogo 1 2013 New solutions to the ultradiscrete soliton equations. Zbl 1173.39005Hirota, Ryogo 3 2009 Ultradiscrete analogue of the identity of Pfaffians. Zbl 1236.39009Hirota, Ryogo 1 2009 Discretization of the new type of soliton equations. Zbl 1223.35276Hirota, Ryogo; Ohta, Yasuhiro 3 2007 Discretization of coupled soliton equations. Zbl 1131.35382Hirota, Ryogo 3 2006 Ultradiscretization of the Tzitzeica equation. Zbl 1076.37065Hirota, 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 1099.35111Hirota, Ryogo 302 2004 Multi-component generalizations of four integrable differential-difference equations: soliton solutions and bilinear Bäcklund transformations. Zbl 1066.35104Zhao, 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 1055.35100Hirota, Ryogo; Hu, Xing-Biao; Tang, Xiao-Yan 34 2003 The Bäcklund transformation equations for the ultradiscrete KP equation. Zbl 1052.37056Shinzawa, Nobuhiko; Hirota, Ryogo 3 2003 A new class of integrable discrete systems. Zbl 1042.37012Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y. 14 2002 “Recurrence equations”, an integrable system. Zbl 1065.39034Hirota, Ryogo; Yahagi, Hideyuki 1 2002 How to find the conserved quantities of nonlinear discrete equations. Zbl 0998.39010Hirota, Ryogo; Kimura, Kinji; Yahagi, Hideyuki 24 2001 Soliton equations exhibiting Pfaffian solutions. Zbl 0986.35093Hirota, Ryogo; Iwao, Masataka; Tsujimoto, Satoshi 6 2001 Discretization of the Euler top. Zbl 1058.70504Hirota, Ryogo; Kimura, Kinji 25 2000 Discretization of the Lagrange top. Zbl 1058.70506Kimura, Kinji; Hirota, Ryogo 20 2000 Time-discretization of soliton equations. Zbl 0961.35135Hirota, Ryogo; Iwao, Masataka 11 2000 Discretization of coupled modified KdV equations. Zbl 1115.37345Hirota, Ryogo 5 2000 Soliton solutions of a coupled derivative modified KdV equations. Zbl 0967.35122Iwao, Masataka; Hirota, Ryogo 3 2000 Ultradiscrete KdV equation. Zbl 0948.39008Tsujimoto, Satoshi; Hirota, Ryogo 11 1998 Discretization of the potential modified KdV equation. Zbl 0946.35081Hirota, Ryogo 3 1998 Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078Iwao, Masataka; Hirota, Ryogo 26 1997 Conserved quantities of “random-time Toda equation”. Zbl 0942.82014Hirota, Ryogo 10 1997 “Molecule solutions” of coupled modified KdV equations. Zbl 0944.35074Hirota, Ryogo 8 1997 Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007Tsujimoto, Satoshi; Hirota, Ryogo 18 1996 Pfaffian and determinant solutions to a discretized Toda equation for \(B_r\), \(C_r\) and \(D_r\). Zbl 0914.39001Kuniba, Atsuo; Nakamura, Shuichi; Hirota, Ryogo 8 1996 Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501Hirota, Ryogo; Tsujimoto, Satoshi 24 1995 Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya 30 1993 Difference scheme of soliton equations. Zbl 0900.35332Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya 16 1993 Hierarchies of coupled soliton equations. I. Zbl 1160.37395Hirota, Ryogo; Ohta, Yasuhiro 66 1991 Soliton structure of the Drinfel’d-Sokolov-Wilson equation. Zbl 0638.35071Hirota, R.; Grammaticos, B.; Ramani, A. 21 1986 Reduction of soliton equations in bilinear form. Zbl 0601.35099Hirota, Ryogo 6 1986 Bilinear forms of soliton equations. Zbl 0539.70027Hirota, Ryogo 1 1983 Second modified KdV equation and its exact multisoliton solution. Zbl 1334.35292Nakamura, Akira; Hirota, Ryogo 10 1980 The Bäcklund and inverse scattering transform of the K-dV equation with nonuniformities. Zbl 1334.81103Hirota, Ryogo 8 1979 Nonlinear partial difference equations. IV: Bäcklund transformations for the discrete-time Toda equation. Zbl 1334.39016Hirota, Ryogo 10 1978 Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013Hirota, Ryogo 74 1977 Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015Hirota, Ryogo 58 1977 Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014Hirota, Ryogo 57 1977 Nonlinear evolution equations generated from the Bäcklund transformation for the Boussinesq equation. Zbl 1098.81547Hirota, Ryogo; Satsuma, Junkichi 43 1977 \(N\)-soliton solutions of model equations for shallow water waves. Zbl 1334.76016Hirota, Ryogo; Satsuma, Junkichi 110 1976 Direct method of finding exact solutions of nonlinear evolution equations. Zbl 0336.35024Hirota, Ryogo 30 1976 Nonlinear evolution equations generated from the Bäcklund transformation for the Toda lattice. Zbl 1079.35536Hirota, Ryogo; Satsuma, Junkichi 14 1976 A new form of Bäcklund transformations and its relation to the inverse scattering problem. Zbl 1168.37322Hirota, Ryogo 135 1974 Exact envelope-soliton solutions of a nonlinear wave equation. Zbl 0257.35052Hirota, Ryogo 277 1973 Exact N-soliton solutions of the wave equations of long waves in shallow- water and in nonlinear lattices. Zbl 0261.76008Hirota, Ryogo 123 1973 Exact solution of the Korteweg–de Vries equation for multiple collisions of solitons. Zbl 1168.35423Hirota, Ryogo 769 1971 Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603Hirota, R. 56 1964 all cited Publications top 5 cited Publications all top 5 Cited by 2,103 Authors 86 Wazwaz, Abdul-Majid Abdul-Rahman 65 Tian, Bo 45 Ma, Wen-Xiu 36 Hu, Xingbiao 31 Zhang, Dajun 30 Liu, Wenjun J. 30 Zhang, Sheng 29 Gao, Yitian 27 Tam, Hon-Wah 26 Tian, Shoufu 25 Lü, Xing 24 Khalique, Chaudry Masood 22 Zhang, Yi 19 Wang, Pan 16 Grammaticos, Basil 16 Ramani, Alfred 16 Yan, Zhenya 16 Zayed, Elsayed M. E. 15 Dai, Zhengde 15 Jiang, Yan 15 Zhang, Hongqing 14 Meng, Xianghua 13 Nakamura, Yoshimasa 13 Ohta, Yasuhiro 13 Yu, Guofu 12 Qu, Qixing 12 Yu, Xin 12 Zhang, Tiantian 12 Zhang, Yingnan 11 Fan, Engui 11 Feng, Baofeng 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 Zhang, Haiqiang 11 Zhang, Yufeng 10 Adem, Abdullahi Rashid 10 Biswas, Anjan 10 Chang, Xiangke 10 Chen, Yong 10 Geng, Xianguo 10 He, Yi 10 Inc, Mustafa 10 Iwasaki, Masashi 10 Kofané, Timoléon Crépin 10 Li, Jibin 10 Wang, Ming 9 Ali Akbar, M. 9 Li, Biao 9 Lou, Senyue 9 Petrera, Matteo 9 Seadawy, Aly R. 9 Sun, Zhiyuan 9 Xu, Bo 9 Zhao, Junxiao 9 Zhu, Zuonong 8 Chen, Dengyuan 8 Chen, Junchao 8 Deng, Shufang 8 Dimitrova, Zlatinka I. 8 Doliwa, Adam 8 Lan, Zhongzhou 8 Li, Bangqing 8 Li, Chunxia 8 Ma, Zhengyi 8 Matveev, Vladimir B. 8 Nijhoff, Frank W. 8 Shen, Shoufeng 8 Wang, Yufeng 8 Willox, Ralph 8 Xia, Tie-Cheng 8 Zhao, Haiqiong 8 Zhao, Songlin 8 Zhen, Hui-Ling 7 Ablowitz, Mark Jay 7 Alurrfi, Khaled A. E. 7 Dong, Huanhe 7 Gegenhasi 7 Gubbiotti, Giorgio 7 Hone, Andrew N. W. 7 Kajiwara, Kenji 7 Li, Shihao 7 Lin, Ji 7 Ling, Liming 7 Ma, Yulan 7 Manafian Heris, Jalil 7 Maruno, Kenichi 7 Quispel, Gilles Reinout Willem 7 Shan, Wenrui 7 Sun, Jianqing 7 Sun, Yepeng 7 Tokihiro, Tetsuji 7 Triki, Houria ...and 2,003 more Authors all top 5 Cited in 264 Serials 178 Applied Mathematics and Computation 150 Journal of Mathematical Physics 108 Nonlinear Dynamics 78 Chaos, Solitons and Fractals 70 Communications in Nonlinear Science and Numerical Simulation 45 Applied Mathematics Letters 43 Theoretical and Mathematical Physics 42 International Journal of Modern Physics B 42 Computers & Mathematics with Applications 36 Physica D 36 Journal of Nonlinear Mathematical Physics 33 Physics Letters. A 31 Advances in Difference Equations 30 Studies in Applied Mathematics 26 Mathematical Methods in the Applied Sciences 24 Abstract and Applied Analysis 23 Journal of Mathematical Analysis and Applications 22 Communications in Mathematical Physics 22 Journal of Geometry and Physics 22 Journal of Physics A: Mathematical and Theoretical 22 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 18 Waves in Random and Complex Media 17 Communications in Theoretical Physics 15 Acta Applicandae Mathematicae 14 Numerical Algorithms 14 International Journal of Computer Mathematics 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 Complexity 10 Mathematical Physics, Analysis and Geometry 10 Journal of Modern Optics 10 AIMS Mathematics 9 Mathematics and Computers in Simulation 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 8 Analysis and Mathematical Physics 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 6 Computers and Fluids 6 Journal of Difference Equations and Applications 6 International Journal of Nonlinear Sciences and Numerical Simulation 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 Physica A 5 Advances in Mathematics 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 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 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 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 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 ...and 164 more Serials all top 5 Cited in 52 Fields 1,503 Partial differential equations (35-XX) 857 Dynamical systems and ergodic theory (37-XX) 186 Fluid mechanics (76-XX) 168 Numerical analysis (65-XX) 143 Difference and functional equations (39-XX) 95 Quantum theory (81-XX) 83 Ordinary differential equations (34-XX) 77 Optics, electromagnetic theory (78-XX) 76 Computer science (68-XX) 73 Statistical mechanics, structure of matter (82-XX) 51 Algebraic geometry (14-XX) 38 Special functions (33-XX) 36 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) 30 Mechanics of deformable solids (74-XX) 20 Biology and other natural sciences (92-XX) 19 Operator theory (47-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Approximations and expansions (41-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Real functions (26-XX) 11 Associative rings and algebras (16-XX) 10 Probability theory and stochastic processes (60-XX) 10 Relativity and gravitational theory (83-XX) 9 Combinatorics (05-XX) 9 Topological groups, Lie groups (22-XX) 9 Geophysics (86-XX) 8 Number theory (11-XX) 8 Commutative algebra (13-XX) 8 Integral equations (45-XX) 7 Systems theory; control (93-XX) 5 Convex and discrete geometry (52-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 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.