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: http://www.ipap.jp/jpsj/index.htmhttp://www.journalarchive.jst.go.jp/english/jnltop_en.php?cdjournal=jpsj1946 Predecessor: Proceedings of the Physico-Mathematical Society of Japan Comments: No longer indexed Documents Indexed: 1,321 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 153 more Volumes all top 5 Authors 107 Wadati, Miki 25 Hirota, Ryogo 23 Hikami, Kazuhiro 17 Ujino, Hideaki 14 Konno, Kimiaki 14 Taniuti, Tosiya 12 Hu, Xingbiao 10 Chow, Kwok Wing 10 Inoue, Rei 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 Narita, Kazuaki 8 Ogata, Masao 8 Yoshizawa, Akira 8 Zhu, Zuonong 7 Kawata, Tutomu 7 Ma, Wen-Xiu 7 Nakamura, Akira 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 Yajima, Tetsu 6 Zhang, Dajun 5 Asano, Naruyoshi 5 Deng, Shufang 5 Ichikawa, Yoshi-Hiko 5 Inoue, Hiroshi 5 Kita, Takafumi 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 Wang, Ning 5 Watanabe, Shinsuke 5 Xue, Weimin 5 Yajima, Nobuo 5 Yanase, Shinichiro 5 Yanase, Youichi 5 Yoshinaga, Takao 4 Dai, Huihui 4 Date, Etsuro 4 Doi, Masao 4 Fujii, Yasuhiro 4 Hatsugai, Yasuhiro 4 Hayakawa, Hisao 4 Hayasi, Nisiki 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. 4 Komori, Yasushi 4 Lomdahl, Peter S. ...and 1,218 more Authors all top 5 Fields 412 Statistical mechanics, structure of matter (82-XX) 345 Partial differential equations (35-XX) 269 Dynamical systems and ergodic theory (37-XX) 238 Fluid mechanics (76-XX) 216 Quantum theory (81-XX) 35 Optics, electromagnetic theory (78-XX) 34 Biology and other natural sciences (92-XX) 33 Difference and functional equations (39-XX) 29 Probability theory and stochastic processes (60-XX) 27 Numerical analysis (65-XX) 26 Ordinary differential equations (34-XX) 25 Mechanics of deformable solids (74-XX) 23 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 623 Publications have been cited 5,077 times in 3,954 Documents Cited by ▼ Year ▼ Algebraic solitary waves in stratified fluids. Zbl 1334.76027Ono, Hiroaki 207 1975 Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III. Zbl 0571.35099Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 157 1981 The modified Korteweg-de Vries equation. Zbl 1334.35299Wadati, Miki 153 1973 KP hierarchies of orthogonal and symplectic type. Transformation groups for soliton equations. VI. Zbl 0571.35102Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 110 1981 An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher orders. Zbl 1334.35282Ito, Masaaki 106 1980 \(N\)-soliton solutions of model equations for shallow water waves. Zbl 1334.76016Hirota, Ryogo; Satsuma, Junkichi 104 1976 Wave propagation in nonlinear lattice. I. Zbl 1334.82022Wadati, Miki 102 1975 New type of soliton solutions for a higher-order nonlinear Schrödinger equation. Zbl 0920.35128Sasa, Narimasa; Satsuma, Junkichi 96 1991 New integrable nonlinear evolution equations. Zbl 1334.35256Wadati, Miki; Konno, Kimiaki; Ichikawa, Yoshi H. 90 1979 Modified nonlinear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasmas. Zbl 1334.76181Mio, Koji; Ogino, Tatsuki; Minami, Kazuo; Takeda, Susumu 80 1976 Approximate equations for long nonlinear waves on a viscous fluid. Zbl 1334.76054Topper, Jeffrey; Kawahara, Takuji 80 1978 The short pulse equation is integrals. Zbl 1067.35115Sakovich, Anton; Sakovich, Sergei 77 2005 A generalization of inverse scattering method. Zbl 1334.81106Wadati, Miki; Konno, Kimiaki; Ichikawa, Yoshi Hiko 69 1979 \(N\)-soliton solution of the two-dimensional Korteweg-deVries equation. Zbl 1334.35296Satsuma, Junkichi 66 1976 Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013Hirota, Ryogo 66 1977 A direct method of calculating periodic wave solutions to nonlinear evolution equations. I: Exact two-periodic wave solution. Zbl 1334.35006Nakamura, Akira 66 1979 Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603Hirota, R. 56 1964 Hierarchies of coupled soliton equations. I. Zbl 1160.37395Hirota, Ryogo; Ohta, Yasuhiro 55 1991 Method for generating discrete soliton equations. III. Zbl 0571.35105Date, E.; Jimbo, M.; Miwa, T. 52 1983 Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015Hirota, Ryogo 52 1977 A Bäcklund transformation for a higher order Korteweg-de Vries equation. Zbl 1334.81041Satsuma, Junkichi; Kaup, David J. 46 1977 The coupled modified Korteweg-de Vries equations. Zbl 0973.35170Tsuchida, Takayuki; Wadati, Miki 46 1998 Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014Hirota, Ryogo 45 1977 The \(N\)-soliton solutions for the modified KdV equation with self-consistent sources. Zbl 1058.37054Zhang, Dajun 45 2002 The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited. Zbl 0965.35144Tam, Hon-Wah; Ma, Wen-Xiu; Hu, Xing-Biao; Wang, Dao-Liu 44 2000 Bilinearization of a generalized derivative nonlinear Schrödinger equation. Zbl 0972.35535Kakei, Saburo; Sasa, Narimasa; Satsuma, Junkichi 43 1995 Generalized commulant expansion method. Zbl 0118.45203Kubo, Ryogo 43 1962 Effect of viscosity of long gravity waves. Zbl 1334.76018Kakutani, Tsunehiko; Matsuuchi, Kazuo 40 1975 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 1334.35250Nakamura, Akira 39 1980 Soliton, positon and negaton solutions to a Schrödinger self-consistent source equation. Zbl 1133.81332Ma, Wen-Xiu 38 2003 Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. Zbl 0946.35082Dai, Hui-Hui; Pavlov, Maxim 35 1998 Wave propagation in nonlinear lattice. II. Zbl 1334.82023Wadati, Miki 35 1975 Synchronization of chaotic fractional Chen system. Zbl 1080.34537Deng, Weihua; Li, Changpin 35 2005 Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations. Zbl 0944.35093Geng, Xianguo; Tam, Hon-Wah 33 1999 Markov processes and the H-theorem. Zbl 0156.23804Morimoto, Tetsuzo 31 1963 Dunkl operator formalism for quantum many-body problems associated with classical root systems. Zbl 0942.81620Hikami, Kazuhiro 30 1996 Exactly solvable models and new link polynomials. I: N-state vertex models. Zbl 0719.57003Akutsu, Yasuhiro; Wadati, Miki 29 1987 Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya 28 1993 Theorems on the partition functions of the Heisenberg ferromagnets. Zbl 1230.82052Asano, Taro 27 1970 On stability of some finite difference schemes for the Korteweg-de Vries equation. Zbl 1337.65136Goda, Katuhiko 26 1975 The multisoliton solutions of the KP equation with self-consistent sources. Zbl 1056.35139Deng, Shu-fang; Chen, Deng-yuan; Zhang, Da-jun 26 2003 New finite-dimensional integrable systems by symmetry constraint of the KdV equations. Zbl 0972.37540Ma, Wenxiu 25 1995 Inverse scattering method for the nonlinear evolution equations under nonvanishing conditions. Zbl 1334.81104Kawata, Tutomu; Inoue, Hiroshi 25 1978 Higher order approximation in the reductive perturbation method. I: The weakly dispersive system. Zbl 1334.76103Kodama, Yuji; Taniuti, Tosiya 25 1978 Kinetic theory of slightly strong evaporation and condensation. Hydrodynamic equation and slip boundary condition for finite Reynolds number. Zbl 1334.82005Onishi, Yoshimoto; Sone, Yoshio 25 1979 Knot invariants and the critical statistical systems. Zbl 0719.57002Akutsu, Yasuhiro; Wadati, Miki 25 1987 Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078Iwao, Masataka; Hirota, Ryogo 23 1997 Discretization of the Euler top. Zbl 1058.70504Hirota, Ryogo; Kimura, Kinji 23 2000 Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501Hirota, Ryogo; Tsujimoto, Satoshi 22 1995 Parametric representation for the multisoliton solution of the Camassa-Holm equation. Zbl 1076.35102Matsuno, Yoshimasa 22 2005 Bäcklund transform and conservation laws of the Benjamin-Ono equation. Zbl 1334.35178Nakamura, Akira 21 1979 Multisoliton solutions of a derivative nonlinear Schrödinger equation. Zbl 1334.81039Nakamura, Akira; Chen, Hsing Hen 21 1980 Method for generating discrete soliton equations. IV. Zbl 0571.35106Date, E.; Jimbo, M.; Miwa, T. 20 1983 Time-dependent orthogonal polynomials and theory of soliton. Applications to matrix model, vertex model and level statistics. Zbl 0972.81634Sogo, Kiyoshi 20 1993 Numerical solution of the Navier-Stokes equations for the flow in a two- dimensional cavity. Zbl 0126.42403Kawaguti, Mitutosi 20 1961 A generalization of coupled integrable, dispersionless system. Zbl 0946.37033Kakuhata, Hiroshi; Konno, Kimiaki 19 1996 Interaction of ion-acoustic solitons in two-dimensional space. Zbl 1334.82062Kako, Fujio; Yajima, Nobuo 19 1980 Master symmetries from Lax operators for certain lattice soliton hierarchies. Zbl 1058.37532Tamizhmani, K. M.; Ma, Wen-Xiu 19 2000 Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007Tsujimoto, Satoshi; Hirota, Ryogo 18 1996 A perturbation approach to nonlinear systems. I: Interactions of solitary waves. Zbl 1334.76074Oikawa, Masayuki; Yajima, Nobuo 18 1973 Discretization of the Lagrange top. Zbl 1058.70506Kimura, Kinji; Hirota, Ryogo 18 2000 The Hall effect in the viscous flow of ionized gas between parallel plates under transverse magnetic field. Zbl 0112.42504Sato, Hiroshi 17 1961 Matter-wave solitons in an \(F=1\) spinor Bose-Einstein condensate. Zbl 1067.82004Ieda, Jun’ichi; Miyakawa, Takahiko; Wadati, Miki 17 2004 Exactly solvable models and new link polynomials. II: Link polynomials for closed 3-braids. Zbl 0719.57004Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki 16 1987 The novel multi-soliton solutions of the mKdV-sine Gordon equations. Zbl 1080.35529Chen, Dengyuan; Zhang, Dajun; Deng, Shufang 16 2002 Generalization of the Kaup-Newell inverse scattering formulation and Darboux transformation. Zbl 0944.35092Imai, Kenji 15 1999 Collapses of wavefunctions in multi-dimensional nonlinear Schrödinger equations under harmonic potential. Zbl 0973.76623Tsurumi, Takeya; Wadati, Miki 15 1997 Magnetic fluid model induced by peristaltic waves. Zbl 1059.92020Siddiqui, A. M.; Hayat, T.; Khan, Masood 15 2004 On equations gauge equivalent to the sine-Gordon and Pohlmeyer-Lund-Regge equations. Zbl 0972.35522Kotlyarov, Vladimir P. 14 1994 Bäcklund transformation for the exponential lattice. Zbl 1334.82025Wadati, Miki; Toda, Morikazu 14 1975 New representations of the soliton solution for the Korteweg-de Vries equation. Zbl 1334.35300Wadati, Miki; Sawada, Katuro 14 1980 On the \(H\)-theorem from the standpoint of classical mechanics. Zbl 1230.82006Morimoto, Tetsuzo 14 1967 Emptiness formation probability for the one-dimensional isotropic \(XY\) model. Zbl 1120.82304Shiroishi, Masahiro; Takahashi, Minoru; Nishiyama, Yoshihiro 14 2001 Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box. Zbl 1090.76034Aoyama, Tomohiro; Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken’ichi; Uno, Atsuya 14 2005 Identification of tubular vortices in turbulence. Zbl 0967.76544Miura, Hideaki; Kida, Shigeo 13 1997 Exactly solvable models and new link polynomials. IV: IRF models. Zbl 0719.57006Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki 13 1988 On the role of the convection term in the equations of motion of incompressible fluid. Zbl 1083.76007Okamoto, Hisashi; Ohkitani, Koji 13 2005 Interface dynamics for bacterial colony formation. Zbl 0961.92005Kitsunezaki, So 12 1997 New matrix Lax representation for a Blaszak-Marciniak four-field lattice hierarchy and its infinitely many conservation laws. Zbl 1058.37057Zhu, Zuonong; Zhu, Zuoming; Wu, Xiaonan; Xue, Weimin 12 2002 Generalized Casorati determinant and positon-negaton-type solutions of the Toda lattice equation. Zbl 1053.37063Maruno, Ken-ichi; Ma, Wen-Xiu; Oikawa, Masayuki 12 2004 A new Hamiltonian amplitude equation governing modulated wave instabilities. Zbl 1112.35354Wadati, Miki; Segur, H.; Ablowitz, M. J. 12 1992 Motion of curves in hyperboloid in the Minkowski space. Zbl 0947.53002Nakayama, Kazuaki 11 1998 Construction of Bäcklund transformations with binary Bell polynomials. Zbl 0947.37052Lambert, Franklin; Springael, Johan 11 1997 Eigenvalue distribution of random matrices at the spectrum edge. Zbl 0972.82543Nagao, Taro; Wadati, Miki 11 1993 Exact solution of the \(n\)-dimensional sine-Gordon equation. Zbl 1334.35284Kobayashi, Kenji K.; Izutsu, Masaaki 11 1976 Exact solutions of the derivative nonlinear Schrödinger equation under the nonvanishing conditions. Zbl 1334.35025Kawata, Tutomu; Inoue, Hiroshi 11 1978 The KdV equation and motion of plane curves. Zbl 1058.37052Chou, Kai-Seng; Qu, Changzheng 11 2001 Finite dimensional Hamiltonians and almost-periodic solutions for \(2+1\) dimensional three-wave equations. Zbl 1058.37051Zhou, Zixiang 11 2002 Exact solutions for the nonisospectral Kadomtshev-Petviashvili equation. Zbl 1084.35536Deng, Shufang; Zhang, Dajun; Chen, Dengyuan 11 2005 Effects of a fluid with variable viscosity and an endoscope on peristaltic motion. Zbl 1067.76036El Misery, A. M.; El Hakeem, Abd; El Naby, Abd; El Nagar, Abd Hameed 11 2003 Deformation of solitons in random media. Zbl 0737.35088Wadati, Miki 10 1990 Loop soliton solutions of string interacting with external field. Zbl 0944.81025Kakuhata, Hiroshi; Konno, Kimiaki 10 1999 Lagrangian, Hamiltonian and conserved quantities for coupled integrable, dispersionless equations. Zbl 0944.35099Kakuhata, Hiroshi; Konno, Kimiaki 10 1996 Hydrodynamic foundation and Painlevé analysis of Hirota-Satsuma type equations. Zbl 0972.35514Espinosa, Aurea; Fujioka, Jorge 10 1994 Colored vertex models, colored IRF models and invariants of trivalent colored graphs. Zbl 0972.82522Deguchi, Tetsuo; Akutsu, Yasuhiro 10 1993 Motion of curves in the plane. Zbl 0972.53501Nakayama, Kazuaki; Wadati, Miki 10 1993 A canonical transformation for the exponential lattice. Zbl 1334.82021Toda, Morikazu; Wadati, Miki 10 1975 Nonlinear partial difference equations. IV: Bäcklund transformations for the discrete-time Toda equation. Zbl 1334.39016Hirota, Ryogo 10 1978 Soliton solutions of the derivative nonlinear Schrödinger equation. Zbl 1334.81101Kawata, Tutomu; Kobayashi, Nobuyuki; Inoue, Hiroshi 10 1979 Soliton-like solution of an extended NLS equation existing in resonance with linear dispersive waves. Zbl 0970.35137Fujioka, Jorge; Espinosa, Aurea 10 1997 Entanglement entropy of one-dimensional gapped spin chains. Zbl 1223.82015Hirano, Takaaki; Hatsugai, Yasuhiro 3 2007 Discretization of the new type of soliton equations. Zbl 1223.35276Hirota, Ryogo; Ohta, Yasuhiro 2 2007 Convergence of quantum annealing with real-time Schrödinger dynamics. Zbl 1223.82044Morita, Satoshi; Nishimori, Hidetoshi 2 2007 Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation. Zbl 1223.35269Maruno, Ken-ichi; Ohta, Yasuhiro 6 2006 The elliptic equation mapping method and its application to stochastic Korteweg-de Vries equation. Zbl 1223.35282Liu, Qing; Zhu, Jia-Min; Wu, Hong-Yu 5 2006 A supersymmetric Itô’s equation and its soliton solutions. Zbl 1223.35283Lü, Shu-Qiang; Hu, Xing-Biao; Liu, Q. P. 5 2006 On the \((2+1)\)-dimensional integrable inhomogeneous Heisenberg ferromagnet equation. Zbl 1223.81121Zhang, Zhen-Huan; Deng, Ming; Zhao, Wei-Zhong; Wu, Ke 4 2006 A hierarchy of new nonlinear differential-difference equations. Zbl 1223.34037Geng, Xianguo; Dai, Huihui 2 2006 Matrix integrals and several integrable differential-difference systems. Zbl 1223.37096Hu, Xing-Biao; Zhao, Jun-Xiao; Li, Chun-Xia 2 2006 The short pulse equation is integrals. Zbl 1067.35115Sakovich, Anton; Sakovich, Sergei 77 2005 Synchronization of chaotic fractional Chen system. Zbl 1080.34537Deng, Weihua; Li, Changpin 35 2005 Parametric representation for the multisoliton solution of the Camassa-Holm equation. Zbl 1076.35102Matsuno, Yoshimasa 22 2005 Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box. Zbl 1090.76034Aoyama, Tomohiro; Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken’ichi; Uno, Atsuya 14 2005 On the role of the convection term in the equations of motion of incompressible fluid. Zbl 1083.76007Okamoto, Hisashi; Ohkitani, Koji 13 2005 Exact solutions for the nonisospectral Kadomtshev-Petviashvili equation. Zbl 1084.35536Deng, Shufang; Zhang, Dajun; Chen, Dengyuan 11 2005 Theory of electronic states and transport in carbon nanotubes. Zbl 1137.81414Ando, Tsuneya 8 2005 Quantum dynamics of system strongly coupled to low-temperature colored noise bath: reduced hierarchy equations approach. Zbl 1089.82014Ishizaki, Akihito; Tanimura, Yoshitaka 7 2005 Exact solutions with Jacobi elliptic functions of two nonlinear models for ion-acoustic plasma waves. Zbl 1076.35099Khater, A. H.; Hassan, M. M.; Temsah, R. S. 6 2005 Numerical study of flows in a cylindrical container with rotating bottom and top flat free surface. Zbl 1187.76718Iwatsu, Reima 5 2005 Exact analysis of \(\delta\)-function attractive fermions and repulsive bosons in one-dimension. Zbl 1072.82510Iida, Toshiaki; Wadati, Miki 5 2005 Soliton pulse propagation in averaged dispersion-managed optical fiber system. Zbl 1076.78009Mak, C. C.; Chow, K. W.; Nakkeeran, K. 5 2005 A new solitary wave solution for the new Hamiltonian amplitude equation. Zbl 1133.76011Krishnan, E. V.; Peng, Yanze 4 2005 The unified form of Hojman’s conservation law and Lutzky’s conservation law. Zbl 1218.70008Zhang, Hongbin; Chen, Liqun 4 2005 Optical solitary waves in the generalized higher order nonlinear Schrödinger equation. Zbl 1070.35095Ruan, Hang-yu; Li, Hui-jun 4 2005 Effect of turbulence spreading on subcritical turbulence in inhomogeneous plasmas. Zbl 1130.76343Itoh, K.; Itoh, S.-I.; Hahm, T. S.; Diamond, P. H. 4 2005 Quantum soliton solutions of quantum Zakharov equations for plasmas. Zbl 1081.82024Yang, Qin; Dai, Chaoqing; Wang, Yueyue; Zhang, Jiefang 4 2005 The WKI model of type II arises from motion of curves in \(E^3\). Zbl 1087.37053Qu, Chanzheng; Zhang, Dongbo 3 2005 Kolmogorov spectrum of quantum turbulence. Zbl 1091.82019Kobayashi, Michikazu; Tsubota, Makoto 3 2005 On quartet superfluidity of fermionic atomic gas. Zbl 1072.82577Kamei, Hidekazu; Miyake, Kazumasa 3 2005 Algebro-geometric solution to the modified Kadomtsev-Petviashvili equation. Zbl 1079.35089Chen, Jinbing; Geng, Xianguo 3 2005 Transition from steady to chaotic states of isothermal and non-isothermal flows through a curved rectangular duct. Zbl 1187.76714Yanase, Shinichiro; Mondal, Rabindra Nath; Kaga, Yoshito; Yamamoto, Kyoji 2 2005 New vacuum of Bethe ansatz solutions in Thirring model. Zbl 1071.81520Fujita, Takehisa; Hiramoto, Makoto; Homma, Takeshi; Takahashi, Hidenori 2 2005 Quantum spin pump in \(S=1/2\) antiferromagnetic chains – holomonomy of phase operators in sine-Gordon theory. Zbl 1070.82010Shindou, Ryuichi 2 2005 Correlations of observables in chaotic states of macroscopic quantum systems. Zbl 1088.81508Sugita, Ayumu; Shimizu, Akira 2 2005 Conserving gapless mean-field theory for Bose-Einstein condensates. Zbl 1072.82524Kita, Takafumi 2 2005 Ladder operation method by dressed special functions and the Gram-type soliton solutions of the \(2+1\) dimensional finite Toda equation. Zbl 1073.37085Nakamura, Akira 2 2005 Double beta decays and neutrino masses. Zbl 1082.81529Ejiri, Hiroyasu 2 2005 Chaos synchronization of multi-delay feedback systems with multi-delay driving signal. Zbl 1330.37034Hoang, Thang Manh; Minh, Do Toan; Nakagawa, Masahiro 2 2005 Quantum event-error detection codes. Zbl 1086.81020Guo, Ying; Zeng, Guihua 1 2005 Strong resonance of light in a Cantor set. Zbl 1086.81084Hatano, Naomichi 1 2005 Kondo problems in Tomonaga-Luttinger liquids. Zbl 1071.82549Furusaki, Akira 1 2005 The Kondo effect in non-equilibrium quantum dots: perturbative renormalization group. Zbl 1071.82054Rosch, A.; Paaske, J.; Kroha, J.; Wölfle, P. 1 2005 Exact periodic and new solitary wave solutions to the generalization of integrable \((2+1)\)-dimensional dispersive long wave equations. Zbl 1067.35079Peng, Yan-ze 1 2005 Scattering of solitons and dark solitons by potential walls in the nonlinear Schrödinger equation. Zbl 1067.35114Sakaguchi, Hidetsugu; Tamura, Mitsuaki 1 2005 Statistical mechanical approach to error exponents of lossy data compression. Zbl 1069.94009Hosaka, Tadaaki; Kabashima, Yoshiyuki 1 2005 Analysis of ultradiscrete Hamiltonian systems with lattice polygons. Zbl 1090.37049Iwao, Masataka 1 2005 Thermomagnetic power and figure of merit for spin-1/2 Heisenberg chain. Zbl 1091.82017Furukawa, Shunsuke; Ideda, Dai; Sakai, Kazumitsu 1 2005 Crossover between local-moment magnetism and itinerant-electron magnetism in the \(t\)-\(J\) model. Zbl 1091.82018Ohkawa, Fusayoshi J. 1 2005 Numerical study of the formation of transverse dunes and linear dunes. Zbl 1329.76245Zhang, Ruyan; Kan, Makiko; Kawamura, Tetuya 1 2005 Small deformation of a nearly circular lipid-raft in the stagnation flow. Zbl 1329.76414Fujitani, Youhei 1 2005 Fundamental limits of efficacy of intercellular communication by diffusion. Zbl 1070.92017Jabbarzadeh, Ehsan; Abrams, Cameron F. 1 2005 Fluctuation theorem and an extended Fokker-Planck equation. Zbl 1072.82025Munakata, Toyonori 1 2005 Numerical simulations of vortex sheet evolution in stratified shear flow. Zbl 1146.76598Sohn, Sung-Ik; Hwang, Woonjae 1 2005 Reynolds number dependences of velocity field and fluid mixing in partioned-pipe mixer. Zbl 1146.76652Mizuno, Yoshinori; Funakoshi, Mitsuaki 1 2005 A new integrable equation and its hierarchy. Zbl 1088.37039Konno, Kimiaki; Asai, Ryousuke; Kakuhata, Hiroshi 1 2005 \(N\) soliton solution of integrable differential-difference equations. Zbl 1088.81053Ito, Masashi; Konno, Kimiaki; Kakuhata, Hiroshi 1 2005 Replicated Bethe free energy: a variational principle behind survey propagation. Zbl 1078.82008Kabashima, Yoshiyuki 1 2005 Matter-wave solitons in an \(F=1\) spinor Bose-Einstein condensate. Zbl 1067.82004Ieda, Jun’ichi; Miyakawa, Takahiko; Wadati, Miki 17 2004 Magnetic fluid model induced by peristaltic waves. Zbl 1059.92020Siddiqui, A. M.; Hayat, T.; Khan, Masood 15 2004 Generalized Casorati determinant and positon-negaton-type solutions of the Toda lattice equation. Zbl 1053.37063Maruno, Ken-ichi; Ma, Wen-Xiu; Oikawa, Masayuki 12 2004 Pfaffianization of the differential-difference KP equation. Zbl 1057.37062Zhao, Junxiao; Li, Chunxia; Hu, Xingbiao 10 2004 Noncommutative KP hierarchy and Hirota triple-product relations. Zbl 1134.37360Wang, Ning; Wadati, Miki 9 2004 Numerical study of three-dimensional photonic crystals with large band gaps. Zbl 1120.82309Chern, R. L.; Chang, C. Chung; Chang, Chien C.; Hwang, R. R. 7 2004 Optical solitary wave solutions to nonlinear Schrödinger equation with cubic-quintic nonlinearity in non-Kerr media. Zbl 1065.81143Yan, Zhenya 7 2004 Evaluation of dynamic spin structure factor for the Spin-1/2 \(XXZ\) chain in a magnetic field. Zbl 1067.82012Sato, Jun; Shiroishi, Masahiro; Takahashi, Minoru 7 2004 Fractal dromion, fractal lump, and multiple peakon excitations in a \((2+1)\)-dimensional Broer-Kaup equations. Zbl 1064.35161Bai, Chenglin 6 2004 Singular dynamics with application to singular waves in physical problems. Zbl 1063.37020Dai, Hui-Hui; Huang, Debin; Liu, Zengrong 5 2004 Semifolded localized coherent structures in general \((2+1)\)-dimensional Korteweg-de Vries system. Zbl 1075.35555Zheng, Chunlong; Chen, Liqun 5 2004 A hierarchy of coupled Korteweg–de Vries equations and the corresponding finite-dimensional integrable system. Zbl 1057.37060Li, Chunxia 5 2004 Quasi-continuum approximation for discrete breathers in Fermi-Pasta-Ulam atomic chains. Zbl 1071.82006Feng, Bao-Feng; Doi, Yusuke; Kawahara, Takuji 5 2004 New representations of multiperiodic and multisoliton solutions for a class of nonlocal soliton equations. Zbl 1066.35103Matsuno, Yoshimasa 4 2004 Dynamical properties of a two-level atom in three variants of the two-photon \(q\)-deformed Jaynes-Cummings model. Zbl 1065.81629Naderi, M. H.; Soltanokotabi, M.; Roknizadeh, R. 4 2004 Landau theory of dynamic phase transitions and systematic perturbation expansion method for getting phase diagrams. Zbl 1092.82030Tutu, Hiroki; Fujiwara, Naoya 4 2004 Investigation of transition frequencies of two acoustically coupled bubbles using a direct numerical simulation technique. Zbl 1082.76089Ida, Masato 4 2004 Next nearest-neighbor correlation functions of the spin-1/2 \(XXZ\) chain at massive region. Zbl 1071.82517Takahashi, Minoru; Kato, Go; Shiroishi, Masahiro 4 2004 Collective traffic-like movement of ants on a trail: dynamical phases and phase transition. Zbl 1067.90019Kunwar, Ambarish; John, Alexander; Nishinari, Katsuhiro; Schadschneider, Andreas; Chowdhury, Debashish 3 2004 Two-dimensional interaction of solitary waves in a modified Kadomtsev-Petviashvili equation. Zbl 1066.35089Tsuji, Hidekazu; Oikawa, Masayuki 3 2004 On the similarity solutions of the inhomogeneous nonlinear diffusion equation via symmetry method. Zbl 1094.76057Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Abdul-Aziz, S. F. 3 2004 Non-Gaussian velocity distribution function in a vibrating granular bed. Zbl 1156.76459Kawarada, Atsushi; Hayakawa, Hisao 3 2004 Quantum fluctuation-induced phase transition in \(S=1/2\) XY-like Heisenberg antiferromagnets on the triangular lattice. Zbl 1134.82316Yoshikawa, Shin-ichiro; Okunishi, Kouichi; Senda, Makoto; Miyashita, Seiji 2 2004 Order \(N\) Monte Carlo algorithm for fermion systems coupled with fluctuating adiabatical fields. Zbl 1113.82306Furukawa, Nobuo; Motome, Yukitoshi 2 2004 Exact solutions of domain wall and spiral ground states in Hubbard models. Zbl 1120.82312Homma, Makoto; Itoi, Chigak 2 2004 Stochastic processes having fractional order nonlinearity associated with hyper Gamma distribution. Zbl 1056.60100Konno, Hidetoshi; Lomdahl, Peter S. 2 2004 Liquid-gas phase transitions studied by multibaric-multithermal Monte Carlo simulations. Zbl 1075.82521Okumura, Hisashi; Okamoto, Yuko 2 2004 Unified scaling theory for local and non-local transfers in generalized two-dimensional turbulence. Zbl 1076.76529Watanabe, Takeshi; Iwayama, Takahiro 2 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 1075.82504Misguich, Grégoire; Oshikawa, Masaki 2 2004 A class of periodic solutions of \(2 + 1\)-dimensional Boussinesq equation. Zbl 1082.35138Zhang, Jiefang; Lai, Xianjing 2 2004 Moyal deformation of KdV and Virasoro action. Zbl 1065.81070Guha, Partha 2 2004 Ladder operator approach of special functions for \(1+1d\) discrete systems and the \(N\)-soliton solutions of the quotient-difference equation. Zbl 1074.39020Nakamura, Akira 2 2004 Brownian motion of a particle of general shape in Newtonian fluid. Zbl 1082.76103Makino, Masato; Doi, Masao 2 2004 Differential equations for creating complex cellular automaton pattern. Zbl 1156.81347Kunishima, Wataru; Nishiyama, Akinobu; Tanaka, Hiroshi; Tokihiro, Tetsuji 2 2004 Analytical solution of the Ornstein-Zernike equation for the structure factor of ordered plasmas using Sogami-Ise potential. Zbl 1134.82333Pandey, Rakesh Kumar; Tripathi, Deep Narayan 1 2004 Elastic lattice Green’s function in three dimensions. Zbl 1134.74394Saito, Yukio 1 2004 Ladder operator approach of special functions and the \(N\)-soliton solutions of the \(2+1\)-dimensional finite Toda equation. Zbl 1057.37061Nakamura, Akira 1 2004 New exact solutions to a new Hamiltonian amplitude equation. II. Zbl 1142.35606Peng, Yanze 1 2004 Bethe ansatz cluster expansion method for quantum integrable particle systems. Zbl 1075.82008Kato, Go; Wadati, Miki 1 2004 Atomistic study of fracture of crystalline materials by lattice Green’s function method: effects of anharmonicity of lattice vibration. Zbl 1076.74503Masuda-Jindo, K.; Vu Van Hang 1 2004 Current-induced entanglement of nuclear spins in quantum dots. Zbl 1055.81007Eto, Mikio; Ashiwa, Takashi; Murata, Mikio 1 2004 Numerical study of enhancement of the Casimir force between silicon membranes by irradiation with UV laser. Zbl 1055.81664Inui, Norio 1 2004 Zero-mean-absolute-vorticity state and vortical structures in rotating channel flow. Zbl 1113.76318Yanase, Shinichiro; Kaga, Yoshito 1 2004 ...and 523 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,530 Authors 84 Wazwaz, Abdul-Majid Abdul-Rahman 69 Ma, Wen-Xiu 56 Geng, Xianguo 45 Tian, Bo 39 Fan, Engui 36 Zhang, Dajun 35 Hu, Xingbiao 31 He, Jingsong 28 Zhang, Hongqing 24 Zhang, Yufeng 23 Gao, Yitian 23 Guo, Boling 20 Feng, Baofeng 20 Wadati, Miki 20 Xue, Bo 18 Lü, Xing 18 Tian, Shoufu 18 van de Leur, Johan W. 18 Xu, Xixiang 17 Ablowitz, Mark Jay 17 Ohta, Yasuhiro 17 Yang, Hongwei 17 Zhang, Weiguo 16 Hayat, Tasawar 16 Kudryashov, Nikolaĭ Alekseevich 16 Ponce, Gustavo 16 Shen, Shoufeng 15 Chen, Dengyuan 15 Chen, Yong 15 Grimshaw, Roger Hamilton James 15 Xu, Tao 15 Yan, Zhenya 15 Yu, Guofu 15 Zeng, Yunbo 15 Zhang, Yi 15 Zhang, Yingnan 14 Grammaticos, Basil 14 Ramani, Alfred 14 Wang, Pan 14 Yu, Fajun 14 Yu, Xin 14 Zhang, Haiqiang 13 Dong, Huanhe 13 Pelinovsky, Dmitry Efimovich 13 Satsuma, Junkichi 12 Aoki, Kazuo 12 Bekir, Ahmet 12 Biswas, Anjan 12 Li, Chunxia 12 Malomed, Boris A. 12 Meng, Xianghua 12 Qiao, Zhijun 12 Suris, Yuri Borisovich 12 Tam, Honwah 12 Xia, Tie-Cheng 12 Yang, Hongxiang 12 Yin, Zhaoyang 11 Ali, Nasir 11 Linares, Felipe 11 Wang, Dengshan 11 Zabrodin, Anton V. 10 Cheng, Jipeng 10 Dai, Chaoqing 10 Doliwa, Adam 10 Jiang, Yan 10 Liu, Wenjun J. 10 Maruno, Kenichi 10 Mejjaoli, Hatem 10 Santini, Paolo Maria 10 Sun, Yepeng 10 Sun, Zhiyuan 10 Wang, Lei 10 Wen, Xiaoyong 10 Zhao, Junxiao 10 Zhao, Songlin 10 Zhu, Zuonong 9 Anco, Stephen C. 9 Chen, Junchao 9 Coclite, Giuseppe Maria 9 Dai, Zhengde 9 Demiray, Hilmi 9 Di Ruvo, Lorenzo 9 Fokas, Athanassios S. 9 Gegenhasi 9 Guha, Partha 9 Hon, Yiu-Chung 9 Kac, Victor G. 9 Li, Biao 9 Li, Chuanzhong 9 Li, Jibin 9 Liu, Zhengrong 9 Nakamura, Yoshimasa 9 Pogrebkov, Andrei K. 9 Prinari, Barbara 9 Qu, Changzheng 9 Trimèche, Khalifa 9 Yan, Zhaowen 9 Yang, Jianke 9 Yao, Yuqin 9 Zhao, Haiqiong ...and 4,430 more Authors all top 5 Cited in 421 Journals 369 Journal of Mathematical Physics 225 Applied Mathematics and Computation 170 Chaos, Solitons and Fractals 103 Journal of Fluid Mechanics 93 Physica D 92 Communications in Nonlinear Science and Numerical Simulation 90 Theoretical and Mathematical Physics 82 Journal of Mathematical Analysis and Applications 75 Nonlinear Dynamics 74 Communications in Mathematical Physics 72 Journal of Nonlinear Mathematical Physics 65 International Journal of Modern Physics B 61 Studies in Applied Mathematics 57 Physics of Fluids 52 Letters in Mathematical Physics 52 Wave Motion 52 Journal of Geometry and Physics 51 Applied Mathematics Letters 49 Journal of Statistical Physics 43 Journal of Differential Equations 42 Computers & Mathematics with Applications 40 Modern Physics Letters B 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 39 Journal of Physics A: Mathematical and Theoretical 38 Nuclear Physics. B 37 Chaos 35 Physics Letters. A 30 Journal of Computational Physics 27 International Journal of Theoretical Physics 27 Journal of Computational and Applied Mathematics 27 Acta Applicandae Mathematicae 27 Journal of Statistical Mechanics: Theory and Experiment 25 Mathematical Problems in Engineering 23 Astrophysics and Space Science 23 Advances in Mathematical Physics 21 Reports on Mathematical Physics 21 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Journal of High Energy Physics 21 Advances in Difference Equations 20 Acta Mechanica 20 Mathematical Methods in the Applied Sciences 20 International Journal of Computer Mathematics 19 Journal of Nonlinear Science 18 Applicable Analysis 18 Abstract and Applied Analysis 18 Communications in Theoretical Physics 17 Advances in Mathematics 17 Acta Mathematicae Applicatae Sinica. English Series 16 Fluid Dynamics 16 Mathematics and Computers in Simulation 16 International Journal of Modern Physics C 16 Nonlinear Analysis. Real World Applications 16 Journal of Applied Mathematics 14 International Journal of Modern Physics A 14 Physica A 14 Mathematical and Computer Modelling 13 Nonlinearity 13 Transactions of the American Mathematical Society 13 Discrete and Continuous Dynamical Systems 13 European Journal of Mechanics. B. Fluids 12 Computers and Fluids 12 Physics Reports 12 Meccanica 12 Applied Mathematics and Mechanics. (English Edition) 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Journal of Mathematical Sciences (New York) 12 Journal of Shanghai University 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Analysis and Mathematical Physics 11 Modern Physics Letters A 11 Physics of Fluids, A 11 Reviews in Mathematical Physics 11 Applied Mathematical Modelling 11 Journal of Knot Theory and its Ramifications 11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 International Journal of Geometric Methods in Modern Physics 11 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 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 New Journal of Physics 9 Chinese Annals of Mathematics. Series B 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Regular and Chaotic Dynamics 9 Journal of Modern Optics 9 Physical Review, II. Series 8 Archive for Rational Mechanics and Analysis 8 International Journal of Engineering Science 8 Journal of Engineering Mathematics 8 Functional Analysis and its Applications 8 International Journal of Nonlinear Sciences and Numerical Simulation 8 Physical Review Letters 8 Frontiers of Mathematics in China 8 Science China. Mathematics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Aplikace Matematiky 7 Journal of Algebra 7 Journal of Soviet Mathematics 7 Numerical Methods for Partial Differential Equations ...and 321 more Journals all top 5 Cited in 61 Fields 2,224 Partial differential equations (35-XX) 1,372 Dynamical systems and ergodic theory (37-XX) 703 Fluid mechanics (76-XX) 421 Quantum theory (81-XX) 409 Statistical mechanics, structure of matter (82-XX) 306 Numerical analysis (65-XX) 168 Ordinary differential equations (34-XX) 160 Nonassociative rings and algebras (17-XX) 149 Difference and functional equations (39-XX) 113 Optics, electromagnetic theory (78-XX) 90 Differential geometry (53-XX) 88 Algebraic geometry (14-XX) 86 Probability theory and stochastic processes (60-XX) 79 Special functions (33-XX) 72 Computer science (68-XX) 70 Mechanics of particles and systems (70-XX) 63 Global analysis, analysis on manifolds (58-XX) 59 Mechanics of deformable solids (74-XX) 57 Biology and other natural sciences (92-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 51 Combinatorics (05-XX) 49 Operator theory (47-XX) 46 Manifolds and cell complexes (57-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 34 Associative rings and algebras (16-XX) 34 Relativity and gravitational theory (83-XX) 34 Systems theory; control (93-XX) 31 Topological groups, Lie groups (22-XX) 30 Classical thermodynamics, heat transfer (80-XX) 29 Functional analysis (46-XX) 29 Geophysics (86-XX) 28 Functions of a complex variable (30-XX) 27 Integral equations (45-XX) 26 Information and communication theory, circuits (94-XX) 24 Integral transforms, operational calculus (44-XX) 24 Statistics (62-XX) 23 Group theory and generalizations (20-XX) 21 Real functions (26-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 14 Approximations and expansions (41-XX) 12 Number theory (11-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Astronomy and astrophysics (85-XX) 11 Operations research, mathematical programming (90-XX) 10 Geometry (51-XX) 8 Commutative algebra (13-XX) 8 Measure and integration (28-XX) 8 Convex and discrete geometry (52-XX) 7 Potential theory (31-XX) 5 Abstract harmonic analysis (43-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) Citations by Year