Journal of the Physical Society of Japan Short Title: J. Phys. Soc. Japan Publisher: Physical Society of Japan, Tokyo ISSN: 0031-9015; 1347-4073/e Online: https://journals.jps.jp/journal/jpsj Predecessor: Proceedings of the Physico-Mathematical Society of Japan Comments: Journal; No longer indexed Documents Indexed: 1,327 Publications (1957–2007) References Indexed: 2 Publications with 27 References. all top 5 Latest Issues 76, No. 7 (2007) 76, No. 6 (2007) 76, No. 3 (2007) 75, No. 12 (2006) 75, No. 10 (2006) 75, No. 8 (2006) 75, No. 7 (2006) 75, No. 6 (2006) 75, No. 5 (2006) 75, No. 1 (2006) 74, No. 12 (2005) 74, No. 11 (2005) 74, No. 10 (2005) 74, No. 9 (2005) 74, No. 8 (2005) 74, No. 7 (2005) 74, No. 6 (2005) 74, No. 5 (2005) 74, No. 4 (2005) 74, No. 3 (2005) 74, No. 2 (2005) 74, No. 1 (2005) 73, No. 12 (2004) 73, No. 11 (2004) 73, No. 10 (2004) 73, No. 9 (2004) 73, No. 8 (2004) 73, No. 7 (2004) 73, No. 6 (2004) 73, No. 5 (2004) 73, No. 4 (2004) 73, No. 3 (2004) 73, No. 2 (2004) 73, No. 1 (2004) 72, No. 12 (2003) 72, No. 11 (2003) 72, No. 10 (2003) 72, No. 9 (2003) 72, No. 8 (2003) 72, No. 7 (2003) 72, No. 6 (2003) 72, No. 5 (2003) 72, No. 4 (2003) 72, No. 3 (2003) 72, No. 2 (2003) 72, No. 1 (2003) 71, No. 12 (2002) 71, No. 11 (2002) 71, No. 10 (2002) 71, No. 9 (2002) 71, No. 8 (2002) 71, No. 6 (2002) 71, No. 5 (2002) 71, No. 4 (2002) 71, No. 3 (2002) 71, No. 2 (2002) 71, No. 1 (2002) 70, No. 12 (2001) 70, No. 11 (2001) 70, No. 10 (2001) 70, No. 9 (2001) 70, No. 8 (2001) 70, No. 7 (2001) 70, No. 6 (2001) 70, No. 5 (2001) 70, No. 4 (2001) 70, No. 3 (2001) 70, No. 2 (2001) 70, No. 1 (2001) 69, No. 12 (2000) 69, No. 11 (2000) 69, No. 10 (2000) 69, No. 9 (2000) 69, No. 8 (2000) 69, No. 7 (2000) 69, No. 6 (2000) 69, No. 5 (2000) 69, No. 4 (2000) 69, No. 3 (2000) 69, No. 2 (2000) 69, No. 1 (2000) 68, No. 12 (1999) 68, No. 11 (1999) 68, No. 10 (1999) 68, No. 9 (1999) 68, No. 8 (1999) 68, No. 7 (1999) 68, No. 6 (1999) 68, No. 5 (1999) 68, No. 4 (1999) 68, No. 3 (1999) 68, No. 2 (1999) 68, No. 1 (1999) 67, No. 12 (1998) 67, No. 11 (1998) 67, No. 10 (1998) 67, No. 9 (1998) 67, No. 8 (1998) 67, No. 7 (1998) 67, No. 6 (1998) ...and 154 more Volumes all top 5 Authors 107 Wadati, Miki 25 Hirota, Ryogo 23 Hikami, Kazuhiro 17 Ujino, Hideaki 16 Nakamura, Akira 14 Konno, Kimiaki 14 Taniuti, Tosiya 12 Hu, Xingbiao 10 Chow, Kwok Wing 10 Inoue, Rei 10 Narita, Kazuaki 9 Hisakado, Masato 9 Kakuhata, Hiroshi 9 Matsuno, Yoshimasa 9 Nozaki, Kazuhiro 9 Satsuma, Junkichi 9 Shibata, Fumiaki 9 Shiroishi, Masahiro 9 Sogo, Kiyoshi 8 Akutsu, Yasuhiro 8 Deguchi, Tetsuo 8 Geng, Xianguo 8 Itoh, Kimitaka 8 Itoh, Sanae-Inoue 8 Miyazaki, Takeshi 8 Morioka, Shigeki 8 Nakayama, Kazuaki 8 Ogata, Masao 8 Yoshizawa, Akira 8 Zhu, Zuonong 7 Dai, Huihui 7 Kawata, Tutomu 7 Ma, Wen-Xiu 7 Ono, Hiroaki 7 Ruan, Hangyu 7 Sawada, Katuro 7 Takane, Yositake 7 Tsuchida, Takayuki 7 Tsurumi, Takeya 6 Akuzawa, Toshinao 6 Ando, Tsuneya 6 Chen, Dengyuan 6 Gotoh, Kanefusa 6 Imai, Kenji 6 Imamura, Tsutomu 6 Inui, Norio 6 Kajinaga, Yasumasa 6 Kakei, Saburo 6 Kapur, Jagat Narain 6 Kitajima, Sachiko 6 Miyake, Kazumasa 6 Nagao, Taro 6 Oikawa, Masayuki 6 Okada, Masato 6 Tajiri, Masayoshi 6 Tam, Hon-Wah 6 Yajima, Tetsu 6 Zhang, Dajun 5 Asano, Naruyoshi 5 Deng, Shufang 5 Ichikawa, Yoshi-Hiko 5 Inoue, Hiroshi 5 Kita, Takafumi 5 Kodama, Yuji 5 Konno, Hidetoshi 5 Kotera, Takeyasu 5 Kubo, Ryogo 5 Miyagi, Tosio 5 Mizushima, Jiro 5 Munehisa, Tomo 5 Nakamura, Katsuhiro 5 Nakata, Isamu 5 Nishimori, Hidetoshi 5 Nishinari, Katsuhiro 5 Odagaki, Takashi 5 Oguri, Akira 5 Ohta, Yasuhiro 5 Peng, Yanze 5 Watanabe, Shinsuke 5 Xue, Weimin 5 Yajima, Nobuo 5 Yanase, Shinichiro 5 Yanase, Youichi 5 Yoshinaga, Takao 4 Date, Etsuro 4 Doi, Masao 4 Fujii, Yasuhiro 4 Hatsugai, Yasuhiro 4 Hayakawa, Hisao 4 Hayasi, Nisiki 4 Horiguchi, Tsuyoshi 4 Huang, Hongci 4 Ichiyanagi, Masakazu 4 Igarashi, Akira 4 Imada, Masatoshi 4 Ishibashi, Yoshihiro 4 Jimbo, Michio 4 Kabashima, Yoshiyuki 4 Kawahara, Takuji 4 Khater, Ahmed H. ...and 1,224 more Authors all top 5 Fields 413 Statistical mechanics, structure of matter (82-XX) 347 Partial differential equations (35-XX) 272 Dynamical systems and ergodic theory (37-XX) 239 Fluid mechanics (76-XX) 216 Quantum theory (81-XX) 35 Optics, electromagnetic theory (78-XX) 35 Biology and other natural sciences (92-XX) 34 Difference and functional equations (39-XX) 29 Probability theory and stochastic processes (60-XX) 27 Ordinary differential equations (34-XX) 27 Numerical analysis (65-XX) 25 Mechanics of deformable solids (74-XX) 24 Special functions (33-XX) 17 Mechanics of particles and systems (70-XX) 16 Differential geometry (53-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Relativity and gravitational theory (83-XX) 11 Information and communication theory, circuits (94-XX) 10 Geophysics (86-XX) 9 Nonassociative rings and algebras (17-XX) 9 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 6 Topological groups, Lie groups (22-XX) 6 Operations research, mathematical programming (90-XX) 5 Combinatorics (05-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 704 Publications have been cited 8,056 times in 6,039 Documents Cited by ▼ Year ▼ Algebraic solitary waves in stratified fluids. Zbl 1334.76027 Ono, Hiroaki 267 1975 The modified Korteweg-de Vries equation. Zbl 1334.35299 Wadati, Miki 249 1973 Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III. Zbl 0571.35099 Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 202 1981 New type of soliton solutions for a higher-order nonlinear Schrödinger equation. Zbl 0920.35128 Sasa, Narimasa; Satsuma, Junkichi 168 1991 Wave propagation in nonlinear lattice. I. Zbl 1334.82022 Wadati, Miki 168 1975 An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher orders. Zbl 1334.35282 Ito, Masaaki 168 1980 KP hierarchies of orthogonal and symplectic type. Transformation groups for soliton equations. VI. Zbl 0571.35102 Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 159 1981 New integrable nonlinear evolution equations. Zbl 1334.35256 Wadati, Miki; Konno, Kimiaki; Ichikawa, Yoshi H. 158 1979 \(N\)-soliton solutions of model equations for shallow water waves. Zbl 1334.76016 Hirota, Ryogo; Satsuma, Junkichi 142 1976 Modified nonlinear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasmas. Zbl 1334.76181 Mio, Koji; Ogino, Tatsuki; Minami, Kazuo; Takeda, Susumu 136 1976 The short pulse equation is integrals. Zbl 1067.35115 Sakovich, Anton; Sakovich, Sergei 133 2005 A generalization of inverse scattering method. Zbl 1334.81106 Wadati, Miki; Konno, Kimiaki; Ichikawa, Yoshi Hiko 128 1979 Hierarchies of coupled soliton equations. I. Zbl 1160.37395 Hirota, Ryogo; Ohta, Yasuhiro 121 1991 Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013 Hirota, Ryogo 108 1977 Approximate equations for long nonlinear waves on a viscous fluid. Zbl 1334.76054 Topper, Jeffrey; Kawahara, Takuji 106 1978 A direct method of calculating periodic wave solutions to nonlinear evolution equations. I: Exact two-periodic wave solution. Zbl 1334.35006 Nakamura, Akira 95 1979 Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015 Hirota, Ryogo 92 1977 \(N\)-soliton solution of the two-dimensional Korteweg-deVries equation. Zbl 1334.35296 Satsuma, Junkichi 91 1976 The coupled modified Korteweg-de Vries equations. Zbl 0973.35170 Tsuchida, Takayuki; Wadati, Miki 85 1998 Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014 Hirota, Ryogo 79 1977 Method for generating discrete soliton equations. III. Zbl 0571.35105 Date, E.; Jimbo, M.; Miwa, T. 78 1983 Wave propagation in nonlinear lattice. II. Zbl 1334.82023 Wadati, Miki 72 1975 Generalized commulant expansion method. Zbl 0118.45203 Kubo, Ryogo 70 1962 Bilinearization of a generalized derivative nonlinear Schrödinger equation. Zbl 0972.35535 Kakei, Saburo; Sasa, Narimasa; Satsuma, Junkichi 66 1995 Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations. Zbl 0944.35093 Geng, Xianguo; Tam, Hon-Wah 65 1999 A Bäcklund transformation for a higher order Korteweg-de Vries equation. Zbl 1334.81041 Satsuma, Junkichi; Kaup, David J. 62 1977 The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited. Zbl 0965.35144 Tam, Hon-Wah; Ma, Wen-Xiu; Hu, Xing-Biao; Wang, Dao-Liu 60 2000 Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603 Hirota, R. 57 1964 A direct method of calculating periodic wave solutions to nonlinear evolution equations. II. Exact one- and two-periodic wave solution of the coupled bilinear equations. Zbl 1334.35250 Nakamura, Akira 55 1980 Markov processes and the H-theorem. Zbl 0156.23804 Morimoto, Tetsuzo 53 1963 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 50 1993 The \(N\)-soliton solutions for the modified KdV equation with self-consistent sources. Zbl 1058.37054 Zhang, Dajun 49 2002 Dunkl operator formalism for quantum many-body problems associated with classical root systems. Zbl 0942.81620 Hikami, Kazuhiro 49 1996 Effect of viscosity of long gravity waves. Zbl 1334.76018 Kakutani, Tsunehiko; Matsuuchi, Kazuo 48 1975 Synchronization of chaotic fractional Chen system. Zbl 1080.34537 Deng, Weihua; Li, Changpin 47 2005 Inverse scattering method for the nonlinear evolution equations under nonvanishing conditions. Zbl 1334.81104 Kawata, Tutomu; Inoue, Hiroshi 47 1978 Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. Zbl 0946.35082 Dai, Hui-Hui; Pavlov, Maxim 46 1998 Higher order approximation in the reductive perturbation method. I: The weakly dispersive system. Zbl 1334.76103 Kodama, Yuji; Taniuti, Tosiya 46 1978 Exactly solvable models and new link polynomials. I: N-state vertex models. Zbl 0719.57003 Akutsu, Yasuhiro; Wadati, Miki 43 1987 Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078 Iwao, Masataka; Hirota, Ryogo 43 1997 Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501 Hirota, Ryogo; Tsujimoto, Satoshi 42 1995 Method for generating discrete soliton equations. IV. Zbl 0571.35106 Date, E.; Jimbo, M.; Miwa, T. 40 1983 Soliton, positon and negaton solutions to a Schrödinger self-consistent source equation. Zbl 1133.81332 Ma, Wen-Xiu 40 2003 A generalization of coupled integrable, dispersionless system. Zbl 0946.37033 Kakuhata, Hiroshi; Konno, Kimiaki 38 1996 The multisoliton solutions of the KP equation with self-consistent sources. Zbl 1056.35139 Deng, Shu-fang; Chen, Deng-yuan; Zhang, Da-jun 37 2003 Discretization of the Euler top. Zbl 1058.70504 Hirota, Ryogo; Kimura, Kinji 36 2000 The novel multi-soliton solutions of the mKdV-sine Gordon equations. Zbl 1080.35529 Chen, Dengyuan; Zhang, Dajun; Deng, Shufang 34 2002 Parametric representation for the multisoliton solution of the Camassa-Holm equation. Zbl 1076.35102 Matsuno, Yoshimasa 34 2005 Deformation of solitons in random media. Zbl 0737.35088 Wadati, Miki 34 1990 Numerical solution of the Navier-Stokes equations for the flow in a two- dimensional cavity. Zbl 0126.42403 Kawaguti, Mitutosi 34 1961 Matter-wave solitons in an \(F=1\) spinor Bose-Einstein condensate. Zbl 1067.82004 Ieda, Jun’ichi; Miyakawa, Takahiko; Wadati, Miki 33 2004 Multisoliton solutions of a derivative nonlinear Schrödinger equation. Zbl 1334.81039 Nakamura, Akira; Chen, Hsing Hen 32 1980 Bäcklund transform and conservation laws of the Benjamin-Ono equation. Zbl 1334.35178 Nakamura, Akira 32 1979 Theorems on the partition functions of the Heisenberg ferromagnets. Zbl 1230.82052 Asano, Taro 31 1970 Discretization of the Lagrange top. Zbl 1058.70506 Kimura, Kinji; Hirota, Ryogo 31 2000 On stability of some finite difference schemes for the Korteweg-de Vries equation. Zbl 1337.65136 Goda, Katuhiko 31 1975 New finite-dimensional integrable systems by symmetry constraint of the KdV equations. Zbl 0972.37540 Ma, Wenxiu 31 1995 Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007 Tsujimoto, Satoshi; Hirota, Ryogo 30 1996 Knot invariants and the critical statistical systems. Zbl 0719.57002 Akutsu, Yasuhiro; Wadati, Miki 29 1987 Integrable multi-component hybrid nonlinear Schrödinger equations. Zbl 0972.35534 Hisakado, Masato; Wadati, Miki 29 1995 Master symmetries from Lax operators for certain lattice soliton hierarchies. Zbl 1058.37532 Tamizhmani, K. M.; Ma, Wen-Xiu 27 2000 Exact solutions of the derivative nonlinear Schrödinger equation under the nonvanishing conditions. Zbl 1334.35025 Kawata, Tutomu; Inoue, Hiroshi 27 1978 Kinetic theory of slightly strong evaporation and condensation. Hydrodynamic equation and slip boundary condition for finite Reynolds number. Zbl 1334.82005 Onishi, Yoshimoto; Sone, Yoshio 27 1979 A new Hamiltonian amplitude equation governing modulated wave instabilities. Zbl 1112.35354 Wadati, Miki; Segur, H.; Ablowitz, M. J. 26 1992 Emptiness formation probability for the one-dimensional isotropic \(XY\) model. Zbl 1120.82304 Shiroishi, Masahiro; Takahashi, Minoru; Nishiyama, Yoshihiro 26 2001 Time-dependent orthogonal polynomials and theory of soliton. Applications to matrix model, vertex model and level statistics. Zbl 0972.81634 Sogo, Kiyoshi 26 1993 Interaction of ion-acoustic solitons in two-dimensional space. Zbl 1334.82062 Kako, Fujio; Yajima, Nobuo 26 1980 Exactly solvable models and new link polynomials. II: Link polynomials for closed 3-braids. Zbl 0719.57004 Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki 25 1987 Bäcklund transformation for the exponential lattice. Zbl 1334.82025 Wadati, Miki; Toda, Morikazu 24 1975 Generalization of the Kaup-Newell inverse scattering formulation and Darboux transformation. Zbl 0944.35092 Imai, Kenji 24 1999 The KdV equation and motion of plane curves. Zbl 1058.37052 Chou, Kai-Seng; Qu, Changzheng 23 2001 On equations gauge equivalent to the sine-Gordon and Pohlmeyer-Lund-Regge equations. Zbl 0972.35522 Kotlyarov, Vladimir P. 23 1994 Integrability of Calogero-Moser spin system. Zbl 0972.81525 Hikami, Kazuhiro; Wadati, Miki 23 1993 The Hall effect in the viscous flow of ionized gas between parallel plates under transverse magnetic field. Zbl 0112.42504 Sato, Hiroshi 23 1961 On generalized gamma functions occurring in diffraction theory. Zbl 1514.33011 Kobayashi, Kazuya 23 1991 Multi-field integrable systems related to WKI-type eigenvalue problems. Zbl 0943.82009 Tsuchida, Takayuki; Wadati, Miki 22 1999 Loop soliton solutions of string interacting with external field. Zbl 0944.81025 Kakuhata, Hiroshi; Konno, Kimiaki 22 1999 Corner transfer matrix renormalization group method. Zbl 1057.82508 Nishino, Tomotoshi; Okunishi, Kouichi 21 1996 Exact spectrum and partition function of \(SU(m|n)\) supersymmetric Polychronakos model. Zbl 0977.82008 Basu-Mallick, Bireswar; Ujino, Hideaki; Wadati, Miki 21 1999 The quantum Calogero-Moser model: Algebraic structures. Zbl 0972.37537 Ujino, Hideaki; Wadati, Miki; Hikami, Kazuhiro 21 1993 Exact solutions for the nonisospectral Kadomtshev-Petviashvili equation. Zbl 1084.35536 Deng, Shufang; Zhang, Dajun; Chen, Dengyuan 20 2005 Exactly solvable models and new link polynomials. IV: IRF models. Zbl 0719.57006 Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki 20 1988 Lagrangian, Hamiltonian and conserved quantities for coupled integrable, dispersionless equations. Zbl 0944.35099 Kakuhata, Hiroshi; Konno, Kimiaki 20 1996 Motion of curves in the plane. Zbl 0972.53501 Nakayama, Kazuaki; Wadati, Miki 20 1993 Motion of curves in hyperboloid in the Minkowski space. Zbl 0947.53002 Nakayama, Kazuaki 20 1998 Interface dynamics for bacterial colony formation. Zbl 0961.92005 Kitsunezaki, So 19 1997 A perturbation approach to nonlinear systems. I: Interactions of solitary waves. Zbl 1334.76074 Oikawa, Masayuki; Yajima, Nobuo 19 1973 Soliton solutions of the derivative nonlinear Schrödinger equation. Zbl 1334.81101 Kawata, Tutomu; Kobayashi, Nobuyuki; Inoue, Hiroshi 19 1979 On the role of the convection term in the equations of motion of incompressible fluid. Zbl 1083.76007 Okamoto, Hisashi; Ohkitani, Koji 18 2005 Finite dimensional Hamiltonians and almost-periodic solutions for \(2+1\) dimensional three-wave equations. Zbl 1058.37051 Zhou, Zixiang 18 2002 Pfaffianization of the differential-difference KP equation. Zbl 1057.37062 Zhao, Junxiao; Li, Chunxia; Hu, Xingbiao 18 2004 Collapses of wavefunctions in multi-dimensional nonlinear Schrödinger equations under harmonic potential. Zbl 0973.76623 Tsurumi, Takeya; Wadati, Miki 18 1997 A canonical transformation for the exponential lattice. Zbl 1334.82021 Toda, Morikazu; Wadati, Miki 18 1975 Contribution of higher order terms in the reductive perturbation theory. I: A case of weakly dispersive wave. Zbl 1334.76177 Ichikawa, Yoshi H.; Mitsuhashi, Teruo; Konno, Kimiaki 18 1976 New matrix Lax representation for a Blaszak-Marciniak four-field lattice hierarchy and its infinitely many conservation laws. Zbl 1058.37057 Zhu, Zuonong; Zhu, Zuoming; Wu, Xiaonan; Xue, Weimin 18 2002 \(H\)-theorem with generalized relative entropies and the Tsallis statistics. Zbl 0943.82021 Shiino, Masatoshi 18 1998 Density matrix renormalization group method for \(2\)D classical models. Zbl 0972.82538 Nishino, Tomotoshi 18 1995 Infinite symmetry of the spin systems with inverse square interactions. Zbl 0972.82506 Hikami, Kazuhiro; Wadati, Miki 18 1993 Construction of Bäcklund transformations with binary Bell polynomials. Zbl 0947.37052 Lambert, Franklin; Springael, Johan 17 1997 Magnetic fluid model induced by peristaltic waves. Zbl 1059.92020 Siddiqui, A. M.; Hayat, T.; Khan, Masood 17 2004 Entanglement entropy of one-dimensional gapped spin chains. Zbl 1223.82015 Hirano, Takaaki; Hatsugai, Yasuhiro 5 2007 Discretization of the new type of soliton equations. Zbl 1223.35276 Hirota, Ryogo; Ohta, Yasuhiro 4 2007 Convergence of quantum annealing with real-time Schrödinger dynamics. Zbl 1223.82044 Morita, Satoshi; Nishimori, Hidetoshi 4 2007 Statistical mechanical estimate of energy spectrum for \(N\)-point vortex systems. Zbl 1223.76007 Sano, Mitsusada M.; Yatsuyanagi, Yuichi; Yoshida, Takeshi; Tomita, Hiroyuki 1 2007 Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation. Zbl 1223.35269 Maruno, Ken-ichi; Ohta, Yasuhiro 11 2006 A supersymmetric Itô’s equation and its soliton solutions. Zbl 1223.35283 Lü, Shu-Qiang; Hu, Xing-Biao; Liu, Q. P. 9 2006 The elliptic equation mapping method and its application to stochastic Korteweg-de Vries equation. Zbl 1223.35282 Liu, Qing; Zhu, Jia-Min; Wu, Hong-Yu 7 2006 Matrix integrals and several integrable differential-difference systems. Zbl 1223.37096 Hu, Xing-Biao; Zhao, Jun-Xiao; Li, Chun-Xia 5 2006 On the \((2+1)\)-dimensional integrable inhomogeneous Heisenberg ferromagnet equation. Zbl 1223.81121 Zhang, Zhen-Huan; Deng, Ming; Zhao, Wei-Zhong; Wu, Ke 5 2006 A hierarchy of new nonlinear differential-difference equations. Zbl 1223.34037 Geng, Xianguo; Dai, Huihui 3 2006 Gauge theory for quantum spin glasses. Zbl 1223.82060 Morita, Satoshi; Ozeki, Yukiyasu; Nishimori, Hidetoshi 3 2006 The short pulse equation is integrals. Zbl 1067.35115 Sakovich, Anton; Sakovich, Sergei 133 2005 Synchronization of chaotic fractional Chen system. Zbl 1080.34537 Deng, Weihua; Li, Changpin 47 2005 Parametric representation for the multisoliton solution of the Camassa-Holm equation. Zbl 1076.35102 Matsuno, Yoshimasa 34 2005 Exact solutions for the nonisospectral Kadomtshev-Petviashvili equation. Zbl 1084.35536 Deng, Shufang; Zhang, Dajun; Chen, Dengyuan 20 2005 On the role of the convection term in the equations of motion of incompressible fluid. Zbl 1083.76007 Okamoto, Hisashi; Ohkitani, Koji 18 2005 Quantum dynamics of system strongly coupled to low-temperature colored noise bath: reduced hierarchy equations approach. Zbl 1089.82014 Ishizaki, Akihito; Tanimura, Yoshitaka 16 2005 Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box. Zbl 1090.76034 Aoyama, Tomohiro; Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken’ichi; Uno, Atsuya 15 2005 Theory of electronic states and transport in carbon nanotubes. Zbl 1137.81414 Ando, Tsuneya 13 2005 Exact solutions with Jacobi elliptic functions of two nonlinear models for ion-acoustic plasma waves. Zbl 1076.35099 Khater, A. H.; Hassan, M. M.; Temsah, R. S. 11 2005 The WKI model of type II arises from motion of curves in \(E^3\). Zbl 1087.37053 Qu, Chanzheng; Zhang, Dongbo 9 2005 Exact analysis of \(\delta\)-function attractive fermions and repulsive bosons in one-dimension. Zbl 1072.82510 Iida, Toshiaki; Wadati, Miki 8 2005 Kolmogorov spectrum of quantum turbulence. Zbl 1091.82019 Kobayashi, Michikazu; Tsubota, Makoto 8 2005 Quantized Berry phases as a local order parameter of a quantum liquid. Zbl 1223.82014 Hatsugai, Yasuhiro 7 2005 Soliton pulse propagation in averaged dispersion-managed optical fiber system. Zbl 1076.78009 Mak, C. C.; Chow, K. W.; Nakkeeran, K. 6 2005 A new solitary wave solution for the new Hamiltonian amplitude equation. Zbl 1133.76011 Krishnan, E. V.; Peng, Yanze 6 2005 The unified form of Hojman’s conservation law and Lutzky’s conservation law. Zbl 1218.70008 Zhang, Hongbin; Chen, Liqun 6 2005 Algebro-geometric solution to the modified Kadomtsev-Petviashvili equation. Zbl 1079.35089 Chen, Jinbing; Geng, Xianguo 5 2005 Quantum soliton solutions of quantum Zakharov equations for plasmas. Zbl 1081.82024 Yang, Qin; Dai, Chaoqing; Wang, Yueyue; Zhang, Jiefang 5 2005 Exact periodic and new solitary wave solutions to the generalization of integrable \((2+1)\)-dimensional dispersive long wave equations. Zbl 1067.35079 Peng, Yan-ze 5 2005 Numerical study of flows in a cylindrical container with rotating bottom and top flat free surface. Zbl 1187.76718 Iwatsu, Reima 5 2005 Optical solitary waves in the generalized higher order nonlinear Schrödinger equation. Zbl 1070.35095 Ruan, Hang-yu; Li, Hui-jun 4 2005 New vacuum of Bethe ansatz solutions in Thirring model. Zbl 1071.81520 Fujita, Takehisa; Hiramoto, Makoto; Homma, Takeshi; Takahashi, Hidenori 4 2005 Quantum spin pump in \(S=1/2\) antiferromagnetic chains – holomonomy of phase operators in sine-Gordon theory. Zbl 1070.82010 Shindou, Ryuichi 4 2005 On quartet superfluidity of fermionic atomic gas. Zbl 1072.82577 Kamei, Hidekazu; Miyake, Kazumasa 4 2005 Effect of turbulence spreading on subcritical turbulence in inhomogeneous plasmas. Zbl 1130.76343 Itoh, K.; Itoh, S.-I.; Hahm, T. S.; Diamond, P. H. 4 2005 Strong resonance of light in a Cantor set. Zbl 1086.81084 Hatano, Naomichi 4 2005 Scattering of solitons and dark solitons by potential walls in the nonlinear Schrödinger equation. Zbl 1067.35114 Sakaguchi, Hidetsugu; Tamura, Mitsuaki 4 2005 Characterization of topological insulators: Chern numbers for ground state multiplet. Zbl 1223.82013 Hatsugai, Yasuhiro 3 2005 Chaos synchronization of multi-delay feedback systems with multi-delay driving signal. Zbl 1330.37034 Hoang, Thang Manh; Minh, Do Toan; Nakagawa, Masahiro 3 2005 Nonlinear integral equations for thermodynamics of the \(U_q(\widehat{\mathrm{sl}(r+1}))\) Perk-Schultz model. Zbl 1138.82323 Tsuboi, Zengo; Takahashi, Minuro 3 2005 Conserving gapless mean-field theory for Bose-Einstein condensates. Zbl 1072.82524 Kita, Takafumi 3 2005 Replicated Bethe free energy: a variational principle behind survey propagation. Zbl 1078.82008 Kabashima, Yoshiyuki 3 2005 Transition from steady to chaotic states of isothermal and non-isothermal flows through a curved rectangular duct. Zbl 1187.76714 Yanase, Shinichiro; Mondal, Rabindra Nath; Kaga, Yoshito; Yamamoto, Kyoji 3 2005 Correlations of observables in chaotic states of macroscopic quantum systems. Zbl 1088.81508 Sugita, Ayumu; Shimizu, Akira 2 2005 Ladder operation method by dressed special functions and the Gram-type soliton solutions of the \(2+1\) dimensional finite Toda equation. Zbl 1073.37085 Nakamura, Akira 2 2005 Soliton solutions of two \((2+1)\)-dimensional differential-difference systems. Zbl 1076.35126 Yu, Guofu; Tam, Honwah 2 2005 Double beta decays and neutrino masses. Zbl 1082.81529 Ejiri, Hiroyasu 2 2005 Thermomagnetic power and figure of merit for spin-1/2 Heisenberg chain. Zbl 1091.82017 Furukawa, Shunsuke; Ideda, Dai; Sakai, Kazumitsu 2 2005 The Kondo effect in non-equilibrium quantum dots: perturbative renormalization group. Zbl 1071.82054 Rosch, A.; Paaske, J.; Kroha, J.; Wölfle, P. 2 2005 Singularity analysis of spherical Kadomtsev-Petviashvili equation. Zbl 1070.35060 Karasu-Kalkanli, Ayşe; Sakovich, Sergei 1 2005 Numerical simulation of vortex crystals and merging in \(N\)-point vortex systems with circular boundary. Zbl 1071.76046 Yoshida, Takeshi; Sano, Mitsusada M. 1 2005 Numerical study of the formation of transverse dunes and linear dunes. Zbl 1329.76245 Zhang, Ruyan; Kan, Makiko; Kawamura, Tetuya 1 2005 Small deformation of a nearly circular lipid-raft in the stagnation flow. Zbl 1329.76414 Fujitani, Youhei 1 2005 Fundamental limits of efficacy of intercellular communication by diffusion. Zbl 1070.92017 Jabbarzadeh, Ehsan; Abrams, Cameron F. 1 2005 Fluctuation theorem and an extended Fokker-Planck equation. Zbl 1072.82025 Munakata, Toyonori 1 2005 A model of quantum mechanical communication channel with quantum and thermal noises. Zbl 1073.81537 Kitajima, Sachiko; Ban, Masashi; Shibata, Fumiaki 1 2005 Numerical simulations of vortex sheet evolution in stratified shear flow. Zbl 1146.76598 Sohn, Sung-Ik; Hwang, Woonjae 1 2005 Reynolds number dependences of velocity field and fluid mixing in partioned-pipe mixer. Zbl 1146.76652 Mizuno, Yoshinori; Funakoshi, Mitsuaki 1 2005 Chirality selection in open flow systems and in polymerization. Zbl 1072.82584 Saito, Yukio; Hyuga, Hiroyuki 1 2005 On the geometric equivalence of the discrete integrable modified Heisenberg ferromagnet model. Zbl 1128.82306 Yu, Fengling; Bi, Yanhui; Zhai, Ying; Zhao, Weizhong; Wu, Ke 1 2005 A new integrable equation and its hierarchy. Zbl 1088.37039 Konno, Kimiaki; Asai, Ryousuke; Kakuhata, Hiroshi 1 2005 \(N\) soliton solution of integrable differential-difference equations. Zbl 1088.81053 Ito, Masashi; Konno, Kimiaki; Kakuhata, Hiroshi 1 2005 Optical response of photonic crystals requiring high precision band calculation in the form of \(k(\omega)\) including evanescent waves. Zbl 1086.81083 Cho, Kikuo; Ushida, Jun; Bamba, Motoaki 1 2005 Analysis of ultradiscrete Hamiltonian systems with lattice polygons. Zbl 1090.37049 Iwao, Masataka 1 2005 Crossover between local-moment magnetism and itinerant-electron magnetism in the \(t\)-\(J\) model. Zbl 1091.82018 Ohkawa, Fusayoshi J. 1 2005 Quantum event-error detection codes. Zbl 1086.81020 Guo, Ying; Zeng, Guihua 1 2005 Out-of-equilibrium transport phenomena through a quantum dot in a magnetic field. Zbl 1071.82053 Fujii, Tatsuya; Ueda, Kazuo 1 2005 Kondo problems in Tomonaga-Luttinger liquids. Zbl 1071.82549 Furusaki, Akira 1 2005 Statistical mechanical approach to error exponents of lossy data compression. Zbl 1069.94009 Hosaka, Tadaaki; Kabashima, Yoshiyuki 1 2005 Matter-wave solitons in an \(F=1\) spinor Bose-Einstein condensate. Zbl 1067.82004 Ieda, Jun’ichi; Miyakawa, Takahiko; Wadati, Miki 33 2004 Pfaffianization of the differential-difference KP equation. Zbl 1057.37062 Zhao, Junxiao; Li, Chunxia; Hu, Xingbiao 18 2004 Magnetic fluid model induced by peristaltic waves. Zbl 1059.92020 Siddiqui, A. M.; Hayat, T.; Khan, Masood 17 2004 Generalized Casorati determinant and positon-negaton-type solutions of the Toda lattice equation. Zbl 1053.37063 Maruno, Ken-ichi; Ma, Wen-Xiu; Oikawa, Masayuki 15 2004 Noncommutative KP hierarchy and Hirota triple-product relations. Zbl 1134.37360 Wang, Ning; Wadati, Miki 15 2004 Semifolded localized coherent structures in general \((2+1)\)-dimensional Korteweg-de Vries system. Zbl 1075.35555 Zheng, Chunlong; Chen, Liqun 13 2004 Fractal dromion, fractal lump, and multiple peakon excitations in a \((2+1)\)-dimensional Broer-Kaup equations. Zbl 1064.35161 Bai, Chenglin 11 2004 Optical solitary wave solutions to nonlinear Schrödinger equation with cubic-quintic nonlinearity in non-Kerr media. Zbl 1065.81143 Yan, Zhenya 11 2004 Numerical study of three-dimensional photonic crystals with large band gaps. Zbl 1120.82309 Chern, R. L.; Chang, C. Chung; Chang, Chien C.; Hwang, R. R. 10 2004 Evaluation of dynamic spin structure factor for the Spin-1/2 \(XXZ\) chain in a magnetic field. Zbl 1067.82012 Sato, Jun; Shiroishi, Masahiro; Takahashi, Minoru 10 2004 New exact solutions to a new Hamiltonian amplitude equation. II. Zbl 1142.35606 Peng, Yanze 9 2004 Next nearest-neighbor correlation functions of the spin-1/2 \(XXZ\) chain at massive region. Zbl 1071.82517 Takahashi, Minoru; Kato, Go; Shiroishi, Masahiro 9 2004 Recent developments of world-line Monte Carlo methods. Zbl 1113.82304 Kawashima, Naoki; Harada, Kenji 7 2004 A hierarchy of coupled Korteweg–de Vries equations and the corresponding finite-dimensional integrable system. Zbl 1057.37060 Li, Chunxia 7 2004 Quasi-continuum approximation for discrete breathers in Fermi-Pasta-Ulam atomic chains. Zbl 1071.82006 Feng, Bao-Feng; Doi, Yusuke; Kawahara, Takuji 7 2004 New representations of multiperiodic and multisoliton solutions for a class of nonlocal soliton equations. Zbl 1066.35103 Matsuno, Yoshimasa 6 2004 Singular dynamics with application to singular waves in physical problems. Zbl 1063.37020 Dai, Hui-Hui; Huang, Debin; Liu, Zengrong 5 2004 A class of periodic solutions of \(2 + 1\)-dimensional Boussinesq equation. Zbl 1082.35138 Zhang, Jiefang; Lai, Xianjing 5 2004 Collective traffic-like movement of ants on a trail: dynamical phases and phase transition. Zbl 1067.90019 Kunwar, Ambarish; John, Alexander; Nishinari, Katsuhiro; Schadschneider, Andreas; Chowdhury, Debashish 5 2004 The interactions of solitons in \((2+1)\)-dimensional modified Nizhnik-Novikov-Vesselov equation. Zbl 1120.37316 Ruan, Hangyu 4 2004 Conditional similarity reductions of the \((2+1)\)-dimensional KdV equation via the extended Lie group approach. Zbl 1053.35122 Tang, Xiaoyan; Qian, Xian-min; Lin, Ji; Lou, S. Y. 4 2004 Unified scaling theory for local and non-local transfers in generalized two-dimensional turbulence. Zbl 1076.76529 Watanabe, Takeshi; Iwayama, Takahiro 4 2004 Dynamical properties of a two-level atom in three variants of the two-photon \(q\)-deformed Jaynes-Cummings model. Zbl 1065.81629 Naderi, M. H.; Soltanokotabi, M.; Roknizadeh, R. 4 2004 Landau theory of dynamic phase transitions and systematic perturbation expansion method for getting phase diagrams. Zbl 1092.82030 Tutu, Hiroki; Fujiwara, Naoya 4 2004 Non-Gaussian velocity distribution function in a vibrating granular bed. Zbl 1156.76459 Kawarada, Atsushi; Hayakawa, Hisao 4 2004 Bose-Einstein condensation of magnons in TiCuCl\(_3\): phase diagram and specific heat from a self-consistent Hartree-Fock calculation with a realistic dispersion relation. Zbl 1075.82504 Misguich, Grégoire; Oshikawa, Masaki 4 2004 Brownian motion of a particle of general shape in Newtonian fluid. Zbl 1082.76103 Makino, Masato; Doi, Masao 4 2004 Investigation of transition frequencies of two acoustically coupled bubbles using a direct numerical simulation technique. Zbl 1082.76089 Ida, Masato 4 2004 Two-dimensional interaction of solitary waves in a modified Kadomtsev-Petviashvili equation. Zbl 1066.35089 Tsuji, Hidekazu; Oikawa, Masayuki 4 2004 Non-equilibrium dynamics of quantum dense coding process. Zbl 1142.82375 Yonemura, Tomoko; Kitajima, Sachiko; Shibata, Fumiaki 3 2004 ...and 604 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,535 Authors 94 Ma, Wen-Xiu 89 Wazwaz, Abdul-Majid Abdul-Rahman 88 Geng, Xianguo 83 Tian, Bo 59 Zhang, Hongqing 57 Zhang, Dajun 56 Fan, Engui 54 Hu, Xingbiao 51 He, Jingsong 49 Tam, Hon-Wah 45 Zhang, Yufeng 38 Chen, Dengyuan 38 Gao, Yitian 36 Chen, Yong 36 Tian, Shoufu 35 Feng, Baofeng 35 Wadati, Miki 33 Lü, Xing 32 Li, Chuanzhong 31 Xia, Tie-Cheng 31 Yu, Guofu 28 Xu, Xixiang 28 Yan, Zhenya 28 Yu, Fajun 28 Zhang, Yi 26 Zabrodin, Anton V. 25 Guo, Boling 25 Shen, Shoufeng 25 Zhang, Haiqiang 24 Basu-Mallick, Bireswar 23 Xu, Tao 23 Zhang, Yingnan 22 Grammaticos, Basil 22 Xue, Bo 21 Malomed, Boris A. 21 Ramani, Alfred 21 van de Leur, Johan W. 21 Zhu, Zuonong 20 Doliwa, Adam 20 Kudryashov, Nikolaĭ Alekseevich 20 Meng, Xianghua 20 Ohta, Yasuhiro 20 Satsuma, Junkichi 20 Yang, Hongwei 19 Ablowitz, Mark Jay 19 Dong, Huanhe 19 Hayat, Tasawar 19 Wang, Lei 19 Zhang, Weiguo 18 Dai, Chaoqing 18 Dai, Huihui 18 Grimshaw, Roger Hamilton James 18 Hikami, Kazuhiro 18 Inc, Mustafa 18 Maruno, Kenichi 18 Ponce, Gustavo 18 Qu, Changzheng 18 Wang, Pan 18 Wen, Xiaoyong 18 Yan, Zhaowen 18 Zeng, Yunbo 17 Li, Biao 17 Matsuno, Yoshimasa 17 Qiao, Zhijun (George) 17 Sun, Yepeng 17 Yu, Xin 16 Coclite, Giuseppe Maria 16 Di Ruvo, Lorenzo 16 Gegenhasi 16 Li, Chunxia 16 Nijhoff, Frank W. 16 Pelinovsky, Dmitry Efimovich 16 Zhao, Qiulan 16 Zhao, Songlin 15 Bekir, Ahmet 15 Biswas, Anjan 15 Kofané, Timoléon Crépin 15 Li, Xinyue 15 Li, Zhibin 15 Liu, Qingping 15 Lou, Senyue 15 Quispel, Gilles Reinout Willem 15 Suris, Yuri Borisovich 15 Wang, Qi 15 Zhang, Yongshuai 14 Khalique, Chaudry Masood 14 Li, Ruomeng 14 Liu, Wenjun J. 14 Prinari, Barbara 14 Qi, Fenghua 14 Qiu, Deqin 14 Santini, Paolo Maria 14 Yang, Hongxiang 14 Yin, Zhaoyang 14 Zhang, Jiefang 14 Zhou, Ruguang 13 Abdou, Mohamed Aly Mohamed 13 Ali, Nasir 13 Chen, Jinbing 13 Finkel, Federico ...and 6,435 more Authors all top 5 Cited in 509 Journals 408 Chaos, Solitons and Fractals 399 Journal of Mathematical Physics 338 Physics Letters. A 254 Applied Mathematics and Computation 217 Physica D 166 Communications in Nonlinear Science and Numerical Simulation 127 Nuclear Physics. B 121 Journal of Physics A: Mathematical and Theoretical 120 Theoretical and Mathematical Physics 111 Journal of Fluid Mechanics 106 Studies in Applied Mathematics 103 Journal of Mathematical Analysis and Applications 101 Journal of Nonlinear Mathematical Physics 100 Applied Mathematics Letters 90 Nonlinear Dynamics 85 Wave Motion 81 Communications in Mathematical Physics 76 International Journal of Modern Physics B 74 Physica A 65 Mathematical Methods in the Applied Sciences 63 Journal of Geometry and Physics 63 Journal of Statistical Mechanics: Theory and Experiment 60 Letters in Mathematical Physics 58 Communications in Theoretical Physics 57 Physics of Fluids 54 Computers & Mathematics with Applications 52 Journal of Differential Equations 50 Journal of Statistical Physics 47 Chaos 45 Journal of Computational Physics 45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 Annals of Physics 40 Modern Physics Letters B 36 Reports on Mathematical Physics 34 Journal of Computational and Applied Mathematics 34 Journal of High Energy Physics 32 Journal of Nonlinear Science 31 Nonlinearity 29 Advances in Mathematical Physics 28 International Journal of Theoretical Physics 28 Mathematics and Computers in Simulation 28 Acta Applicandae Mathematicae 27 Physics Letters. B 27 ZAMP. Zeitschrift für angewandte Mathematik und Physik 27 Mathematical Problems in Engineering 25 International Journal of Geometric Methods in Modern Physics 24 Computer Physics Communications 23 Astrophysics and Space Science 23 Advances in Difference Equations 23 Waves in Random and Complex Media 22 Nonlinear Analysis. Real World Applications 21 International Journal of Engineering Science 21 International Journal of Computer Mathematics 21 Analysis and Mathematical Physics 20 Acta Mechanica 19 Applicable Analysis 19 Advances in Mathematics 19 Acta Mathematicae Applicatae Sinica. English Series 18 Modern Physics Letters A 18 Physics Reports 18 Abstract and Applied Analysis 17 Journal of Applied Mathematics 16 Computers and Fluids 16 Fluid Dynamics 16 Applied Mathematical Modelling 16 New Journal of Physics 16 International Journal of Modern Physics C 16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15 Mathematical and Computer Modelling 15 Journal of Mathematical Sciences (New York) 15 Journal of Applied Analysis and Computation 14 International Journal of Modern Physics A 14 Transactions of the American Mathematical Society 14 Discrete and Continuous Dynamical Systems 14 European Journal of Mechanics. B. Fluids 14 Chinese Journal of Physics (Taipei) 13 Reviews in Mathematical Physics 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Meccanica 12 Applied Mathematics and Mechanics. (English Edition) 12 Journal of Knot Theory and its Ramifications 12 Journal of Shanghai University 11 Physics of Fluids, A 11 Chinese Annals of Mathematics. Series B 11 Numerical Algorithms 11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 International Journal of Nonlinear Sciences and Numerical Simulation 11 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 10 Communications on Pure and Applied Mathematics 10 Reviews of Modern Physics 10 Czechoslovak Mathematical Journal 10 Journal of Functional Analysis 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Numerical Methods for Partial Differential Equations 10 Mathematical Physics, Analysis and Geometry 10 Qualitative Theory of Dynamical Systems 10 Journal of Cosmology and Astroparticle Physics 9 Archive for Rational Mechanics and Analysis 9 Geophysical and Astrophysical Fluid Dynamics ...and 409 more Journals all top 5 Cited in 62 Fields 3,427 Partial differential equations (35-XX) 2,197 Dynamical systems and ergodic theory (37-XX) 933 Fluid mechanics (76-XX) 746 Quantum theory (81-XX) 702 Statistical mechanics, structure of matter (82-XX) 425 Numerical analysis (65-XX) 263 Difference and functional equations (39-XX) 221 Ordinary differential equations (34-XX) 220 Nonassociative rings and algebras (17-XX) 219 Optics, electromagnetic theory (78-XX) 141 Probability theory and stochastic processes (60-XX) 133 Special functions (33-XX) 128 Differential geometry (53-XX) 126 Algebraic geometry (14-XX) 118 Computer science (68-XX) 109 Mechanics of particles and systems (70-XX) 103 Mechanics of deformable solids (74-XX) 83 Global analysis, analysis on manifolds (58-XX) 81 Biology and other natural sciences (92-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 72 Operator theory (47-XX) 70 Combinatorics (05-XX) 57 Relativity and gravitational theory (83-XX) 56 Manifolds and cell complexes (57-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 50 Classical thermodynamics, heat transfer (80-XX) 50 Geophysics (86-XX) 48 Systems theory; control (93-XX) 46 Associative rings and algebras (16-XX) 46 Real functions (26-XX) 46 Approximations and expansions (41-XX) 45 Statistics (62-XX) 40 Topological groups, Lie groups (22-XX) 40 Information and communication theory, circuits (94-XX) 39 Integral equations (45-XX) 37 Integral transforms, operational calculus (44-XX) 32 Functions of a complex variable (30-XX) 32 Functional analysis (46-XX) 29 Group theory and generalizations (20-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 19 Number theory (11-XX) 19 Astronomy and astrophysics (85-XX) 18 Operations research, mathematical programming (90-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Geometry (51-XX) 11 Measure and integration (28-XX) 10 Commutative algebra (13-XX) 10 Convex and discrete geometry (52-XX) 7 Potential theory (31-XX) 7 Abstract harmonic analysis (43-XX) 5 General and overarching topics; collections (00-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 Category theory; homological algebra (18-XX) 3 \(K\)-theory (19-XX) 2 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 Algebraic topology (55-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) Citations by Year