Edit Profile (opens in new tab) Matsutani, Shigeki Compute Distance To: Compute Author ID: matsutani.shigeki Published as: Matsutani, Shigeki; Matsutani, S. Documents Indexed: 69 Publications since 1993 Reviewing Activity: 61 Reviews Co-Authors: 28 Co-Authors with 32 Joint Publications 470 Co-Co-Authors all top 5 Co-Authors 37 single-authored 15 Previato, Emma 7 Komeda, Jiryo 7 Ônishi, Yoshihiro 3 Eilbeck, John Chris 3 Enolskiĭ, Viktor Zelikovich 3 Hamada, Hiroyasu 3 Shimosako, Yoshiyuki 2 Mitsuhashi, Hideo 1 Aomoto, Kazuhiko 1 Asai, A. 1 Fedorov, Yuri N. 1 Gibbons, John 1 Higashida, Kenji 1 Ide, Yusuke 1 Ishiwata, Shingo 1 Kodama, Yuji 1 Konno, Norio 1 Makita, Satoshi 1 Morita, Hideaki 1 Nakagawa, Junichi 1 Nakano, Kota 1 Nakatani, Akihiro 1 Nishiguchi, Hiroshi 1 Saeki, Osamu 1 Sato, Iwao 1 Shinjo, Katsuhiko 1 Uesaka, Masaaki 1 Wang, Yunhong all top 5 Serials 8 Journal of Physics A: Mathematical and General 5 Journal of Geometry and Symmetry in Physics 4 Physics Letters. A 4 Reviews in Mathematical Physics 3 Journal of Geometry and Physics 2 International Journal of Modern Physics A 2 Israel Journal of Mathematics 2 Journal of the Mathematical Society of Japan 2 Mathematical Physics, Analysis and Geometry 2 Journal of Nonlinear Mathematical Physics 2 Journal of Physics A: Mathematical and Theoretical 1 Modern Physics Letters A 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Tokyo Journal of Mathematics 1 Physica D 1 International Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Annals of Physics 1 Applied Mathematical Modelling 1 Electronic Journal of Differential Equations (EJDE) 1 Integral Transforms and Special Functions 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Applied Mathematics 1 International Journal of Modern Physics C 1 Foundations of Physics 1 Cubo 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Surveys in Mathematics and its Applications 1 RIMS Kôkyûroku Bessatsu 1 Journal of Math-for-Industry 1 Mathematics and Mechanics of Complex Systems 1 Pacific Journal of Mathematics for Industry all top 5 Fields 30 Algebraic geometry (14-XX) 26 Dynamical systems and ergodic theory (37-XX) 16 Partial differential equations (35-XX) 11 Differential geometry (53-XX) 11 Quantum theory (81-XX) 9 Number theory (11-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of deformable solids (74-XX) 6 Special functions (33-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 201 times in 94 Documents Cited by ▼ Year ▼ Abelian functions for trigonal curves of genus three. Zbl 1210.14032Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E. 32 2008 Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\). Zbl 1160.14018Matsutani, Shigeki; Previato, Emma 13 2008 The sigma function for Weierstrass semigroups \(\langle 3,7,8\rangle\) and \(\langle 6,13,14,15,16\rangle\). Zbl 1284.14045Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma 9 2013 Sigma functions for a space curve of type \((3, 4, 5)\). Zbl 1311.14033Matsutani, Shigeki; Komeda, Jiryo 7 2013 Euler’s elastica and beyond. Zbl 1209.37086Matsutani, Shigeki 7 2010 Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\). II. Zbl 1297.14050Matsutani, Shigeki; Previato, Emma 7 2014 Statistical mechanics of elastica on a plane: Origin of the MKdV hierarchy. Zbl 0919.35121Matsutani, Shigeki 7 1998 On the moduli of a quantized elastica in \(\mathbb P\) and KdV flows: study of hyperelliptic curves as an extension of Euler’s perspective of elastica. I. Zbl 1079.58006Matsutani, Shigeki; Ônishi, Yoshihiro 6 2003 Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker’s study on hyperelliptic sigma functions. Zbl 0988.37090Matsutani, Shigeki 6 2001 Recursion relation of hyperelliptic psi-functions of genus two. Zbl 1041.11047Matsutani, Shigeki 6 2003 Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties. Zbl 1165.14022Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E. 5 2008 Geometrical construction of the Hirota bilinear form of the modified Korteweg-de Vries equation on a thin elastic rod: Bosonic classical theory. Zbl 0985.35533Matsutani, Shigeki 5 1995 Statistical mechanics of non-stretching elastica in three-dimensional space. Zbl 0983.53002Matsutani, Shigeki 5 1999 The Riemann constant for a non-symmetric Weierstrass semigroup. Zbl 1360.14090Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma 5 2016 Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function. (Intégration du réseau de Toda quasi-périodique et périodique par la fonction sigma hyperelliptique.) Zbl 1279.14044Kodama, Yuji; Matsutani, Shigeki; Previato, Emma 4 2013 Elliptic and hyperelliptic solutions of discrete Painlevé I and its extensions to higher order difference equations. Zbl 0997.34083Matsutani, Shigeki 4 2002 Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica. Zbl 0998.35045Matsutani, Shigeki 4 2002 The sigma function for trigonal cyclic curves. Zbl 1441.14145Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma 4 2019 Addition formulae for abelian functions associated with specialized curves. Zbl 1219.14038Eilbeck, J. C.; Matsutani, S.; Ônishi, Y. 4 2011 Relations in a quantized elastica. Zbl 1134.37035Matsutani, Shigeki 3 2008 Immersion anomaly of Dirac operator on surface in \(\mathbb{R}^3\). Zbl 0982.53004Matsutani, Shigeki 3 1999 Hyperelliptic solutions of modified Korteweg-de Vries equation of genus \(g\): Essentials of the Miura transformation. Zbl 1040.37063Matsutani, Shigeki 3 2002 A class of solutions of the dispersionless KP equation. Zbl 1233.37040Matsutani, Shigeki; Previato, Emma 3 2009 On density of state of quantized Willmore surface – a way to a quantized extrinsic string in \(\mathbb{R}^3\). Zbl 0928.53043Matsutani, Shigeki 3 1998 A generalized Kiepert formula for \(C_{ab}\) curves. Zbl 1186.14025Matsutani, Shigeki; Previato, Emma 2 2009 The \(\operatorname{al}\) function of a cyclic trigonal curve of genus three. Zbl 1342.14066Matsutani, Shigeki; Previato, Emma 2 2015 Surface tension of multi-phase flow with multiple junctions governed by the variational principle. Zbl 1348.76178Matsutani, Shigeki; Nakano, Kota; Shinjo, Katsuhiko 2 2011 Neumann system and hyperelliptic \(\text{al}\) functions. Zbl 1153.37428Matsutani, Shigeki 2 2008 The relation of lemniscate and a loop soliton as 3/2 and 1 spin fields along the modified Korteweg-de Vries equation. Zbl 1020.37573Matsutani, Shigeki 2 1995 Physical realization of the Jimbo-Miwa theory of the modified Korteweg-de Vries equation on a thin elastic rod: Fermionic theory. Zbl 0985.35534Matsutani, Shigeki 2 1995 A generalized Weierstrass representation for a submanifold \(S\) in \(\mathbb E^n\) arising from the submanifold Dirac operator. Zbl 1164.53003Matsutani, Shigeki 2 2008 Dirac operator on a conformal surface immersed in \({\mathbb{R}}^4\): A way to further generalized Weierstrass equation. Zbl 0965.53009Matsutani, Shigeki 2 2000 Toda equations and \(\sigma\)-functions of genera one and two. Zbl 1039.37063Matsutani, Shigeki 2 2003 On the physical relation between the Dirac equation and the generalized mKdV equation on a thin elastic rod. Zbl 0941.81531Matsutani, Shigeki 2 1994 From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials. Zbl 1398.37065Matsutani, Shigeki; Previato, Emma 2 2016 Relationship between the prime form and the sigma function for some cyclic (\(r, s\)) curves. Zbl 1267.14055Gibbons, John; Matsutani, Shigeki; Ônishi, Yoshihiro 2 2013 A constant mean curvature surface and the Dirac operator. Zbl 0938.53006Matsutani, Shigeki 2 1997 Anomaly on a submanifold system – New index theorem related to a submanifold system. Zbl 0855.58056Matsutani, Shigeki 2 1995 Jacobi inversion formulae for a curve in Weierstrass normal form. Zbl 1473.14061Komeda, Jiyro; Matsutani, Shigeki 2 2020 Submanifold Dirac operators with torsion. Zbl 1210.53003Matsutani, Shigeki 1 2004 On the essential algebraic aspects of submanifold quantum mechanics. Zbl 1088.81026Matsutani, Shigeki 1 2004 Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two. Zbl 0977.35120Matsutani, Shigeki 1 2001 The addition law attached to a stratification of a hyperelliptic Jacobian variety. Zbl 1167.14016Enolskii, Victor; Matsutani, Shigeki; Ônishi, Yoshihiro 1 2008 Relations of al functions over subvarieties in a hyperelliptic Jacobian. Zbl 1119.14028Matsutani, Shigeki 1 2005 Numerical computations of conductivity in continuum percolation for overlapping spheroids. Zbl 1195.82025Matsutani, Shigeki; Shimosako, Yoshiyuki; Wang, Yunhong 1 2010 The Lotka-Volterra equation over a finite ring \(\mathbb{Z}/p^N\mathbb{Z}\). Zbl 0992.39017Matsutani, Shigeki 1 2001 Generalized Weierstrass relations and Frobenius reciprocity. Zbl 1144.53078Matsutani, Shigeki 1 2006 Reality conditions of loop solitons genus \(g\): hyperelliptic am functions. Zbl 1134.37034Matsutani, Shigeki 1 2007 On relations of hyperelliptic Weierstrass AL-functions. Zbl 1028.30030Matsutani, Shigeki 1 2002 Localization state of hard core chain and cyclotomic polynomial: hard core limit of diatomic Toda lattice. Zbl 0967.82500Ishiwata, Shingo; Matsutani, Shigeki; Ônishi, Yoshihiro 1 1997 Sheaf-theoretic investigation of CIP-method. Zbl 1427.76215Matsutani, Shigeki 1 2010 On time development of a quasi-quantum particle in quartic potential \((x^2-a^2)^2/2g\). Zbl 0894.47060Matsutani, Shigeki 1 1997 Trigonal Toda lattice equation. Zbl 1441.37074Matsutani, Shigeki 1 2020 An algebraic description of screw dislocations in SC and BCC crystal lattices. Zbl 1427.82048Hamada, Hiroyasu; Matsutani, Shigeki; Nakagawa, Junichi; Saeki, Osamu; Uesaka, Masaaki 1 2018 The sigma function over a family of curves with a singular fiber. Zbl 1498.14083Fedorov, Yuri; Komeda, Jiyro; Matsutani, Shigeki; Previato, Emma; Aomoto, Kazuhiko 1 2022 The sigma function over a family of curves with a singular fiber. Zbl 1498.14083Fedorov, Yuri; Komeda, Jiyro; Matsutani, Shigeki; Previato, Emma; Aomoto, Kazuhiko 1 2022 Jacobi inversion formulae for a curve in Weierstrass normal form. Zbl 1473.14061Komeda, Jiyro; Matsutani, Shigeki 2 2020 Trigonal Toda lattice equation. Zbl 1441.37074Matsutani, Shigeki 1 2020 The sigma function for trigonal cyclic curves. Zbl 1441.14145Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma 4 2019 An algebraic description of screw dislocations in SC and BCC crystal lattices. Zbl 1427.82048Hamada, Hiroyasu; Matsutani, Shigeki; Nakagawa, Junichi; Saeki, Osamu; Uesaka, Masaaki 1 2018 The Riemann constant for a non-symmetric Weierstrass semigroup. Zbl 1360.14090Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma 5 2016 From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials. Zbl 1398.37065Matsutani, Shigeki; Previato, Emma 2 2016 The \(\operatorname{al}\) function of a cyclic trigonal curve of genus three. Zbl 1342.14066Matsutani, Shigeki; Previato, Emma 2 2015 Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\). II. Zbl 1297.14050Matsutani, Shigeki; Previato, Emma 7 2014 The sigma function for Weierstrass semigroups \(\langle 3,7,8\rangle\) and \(\langle 6,13,14,15,16\rangle\). Zbl 1284.14045Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma 9 2013 Sigma functions for a space curve of type \((3, 4, 5)\). Zbl 1311.14033Matsutani, Shigeki; Komeda, Jiryo 7 2013 Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function. (Intégration du réseau de Toda quasi-périodique et périodique par la fonction sigma hyperelliptique.) Zbl 1279.14044Kodama, Yuji; Matsutani, Shigeki; Previato, Emma 4 2013 Relationship between the prime form and the sigma function for some cyclic (\(r, s\)) curves. Zbl 1267.14055Gibbons, John; Matsutani, Shigeki; Ônishi, Yoshihiro 2 2013 Addition formulae for abelian functions associated with specialized curves. Zbl 1219.14038Eilbeck, J. C.; Matsutani, S.; Ônishi, Y. 4 2011 Surface tension of multi-phase flow with multiple junctions governed by the variational principle. Zbl 1348.76178Matsutani, Shigeki; Nakano, Kota; Shinjo, Katsuhiko 2 2011 Euler’s elastica and beyond. Zbl 1209.37086Matsutani, Shigeki 7 2010 Numerical computations of conductivity in continuum percolation for overlapping spheroids. Zbl 1195.82025Matsutani, Shigeki; Shimosako, Yoshiyuki; Wang, Yunhong 1 2010 Sheaf-theoretic investigation of CIP-method. Zbl 1427.76215Matsutani, Shigeki 1 2010 A class of solutions of the dispersionless KP equation. Zbl 1233.37040Matsutani, Shigeki; Previato, Emma 3 2009 A generalized Kiepert formula for \(C_{ab}\) curves. Zbl 1186.14025Matsutani, Shigeki; Previato, Emma 2 2009 Abelian functions for trigonal curves of genus three. Zbl 1210.14032Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E. 32 2008 Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\). Zbl 1160.14018Matsutani, Shigeki; Previato, Emma 13 2008 Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties. Zbl 1165.14022Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E. 5 2008 Relations in a quantized elastica. Zbl 1134.37035Matsutani, Shigeki 3 2008 Neumann system and hyperelliptic \(\text{al}\) functions. Zbl 1153.37428Matsutani, Shigeki 2 2008 A generalized Weierstrass representation for a submanifold \(S\) in \(\mathbb E^n\) arising from the submanifold Dirac operator. Zbl 1164.53003Matsutani, Shigeki 2 2008 The addition law attached to a stratification of a hyperelliptic Jacobian variety. Zbl 1167.14016Enolskii, Victor; Matsutani, Shigeki; Ônishi, Yoshihiro 1 2008 Reality conditions of loop solitons genus \(g\): hyperelliptic am functions. Zbl 1134.37034Matsutani, Shigeki 1 2007 Generalized Weierstrass relations and Frobenius reciprocity. Zbl 1144.53078Matsutani, Shigeki 1 2006 Relations of al functions over subvarieties in a hyperelliptic Jacobian. Zbl 1119.14028Matsutani, Shigeki 1 2005 Submanifold Dirac operators with torsion. Zbl 1210.53003Matsutani, Shigeki 1 2004 On the essential algebraic aspects of submanifold quantum mechanics. Zbl 1088.81026Matsutani, Shigeki 1 2004 On the moduli of a quantized elastica in \(\mathbb P\) and KdV flows: study of hyperelliptic curves as an extension of Euler’s perspective of elastica. I. Zbl 1079.58006Matsutani, Shigeki; Ônishi, Yoshihiro 6 2003 Recursion relation of hyperelliptic psi-functions of genus two. Zbl 1041.11047Matsutani, Shigeki 6 2003 Toda equations and \(\sigma\)-functions of genera one and two. Zbl 1039.37063Matsutani, Shigeki 2 2003 Elliptic and hyperelliptic solutions of discrete Painlevé I and its extensions to higher order difference equations. Zbl 0997.34083Matsutani, Shigeki 4 2002 Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica. Zbl 0998.35045Matsutani, Shigeki 4 2002 Hyperelliptic solutions of modified Korteweg-de Vries equation of genus \(g\): Essentials of the Miura transformation. Zbl 1040.37063Matsutani, Shigeki 3 2002 On relations of hyperelliptic Weierstrass AL-functions. Zbl 1028.30030Matsutani, Shigeki 1 2002 Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker’s study on hyperelliptic sigma functions. Zbl 0988.37090Matsutani, Shigeki 6 2001 Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two. Zbl 0977.35120Matsutani, Shigeki 1 2001 The Lotka-Volterra equation over a finite ring \(\mathbb{Z}/p^N\mathbb{Z}\). Zbl 0992.39017Matsutani, Shigeki 1 2001 Dirac operator on a conformal surface immersed in \({\mathbb{R}}^4\): A way to further generalized Weierstrass equation. Zbl 0965.53009Matsutani, Shigeki 2 2000 Statistical mechanics of non-stretching elastica in three-dimensional space. Zbl 0983.53002Matsutani, Shigeki 5 1999 Immersion anomaly of Dirac operator on surface in \(\mathbb{R}^3\). Zbl 0982.53004Matsutani, Shigeki 3 1999 Statistical mechanics of elastica on a plane: Origin of the MKdV hierarchy. Zbl 0919.35121Matsutani, Shigeki 7 1998 On density of state of quantized Willmore surface – a way to a quantized extrinsic string in \(\mathbb{R}^3\). Zbl 0928.53043Matsutani, Shigeki 3 1998 A constant mean curvature surface and the Dirac operator. Zbl 0938.53006Matsutani, Shigeki 2 1997 Localization state of hard core chain and cyclotomic polynomial: hard core limit of diatomic Toda lattice. Zbl 0967.82500Ishiwata, Shingo; Matsutani, Shigeki; Ônishi, Yoshihiro 1 1997 On time development of a quasi-quantum particle in quartic potential \((x^2-a^2)^2/2g\). Zbl 0894.47060Matsutani, Shigeki 1 1997 Geometrical construction of the Hirota bilinear form of the modified Korteweg-de Vries equation on a thin elastic rod: Bosonic classical theory. Zbl 0985.35533Matsutani, Shigeki 5 1995 The relation of lemniscate and a loop soliton as 3/2 and 1 spin fields along the modified Korteweg-de Vries equation. Zbl 1020.37573Matsutani, Shigeki 2 1995 Physical realization of the Jimbo-Miwa theory of the modified Korteweg-de Vries equation on a thin elastic rod: Fermionic theory. Zbl 0985.35534Matsutani, Shigeki 2 1995 Anomaly on a submanifold system – New index theorem related to a submanifold system. Zbl 0855.58056Matsutani, Shigeki 2 1995 On the physical relation between the Dirac equation and the generalized mKdV equation on a thin elastic rod. Zbl 0941.81531Matsutani, Shigeki 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 95 Authors 29 Matsutani, Shigeki 17 Geng, Xianguo 14 Previato, Emma 8 Zeng, Xin 7 Enolskiĭ, Viktor Zelikovich 7 Wei, Jiao 5 He, Guoliang 5 Komeda, Jiryo 5 Wu, Lihua 4 Ayano, Takanori 3 Athorne, Chris 3 Bukhshtaber, Viktor Matveevich 3 Eilbeck, John Chris 3 Hone, Andrew N. W. 3 Ônishi, Yoshihiro 3 Zhai, Yunyun 2 Bernatska, Julia 2 Bruno, Alexander Dmitrievich 2 England, Matthew 2 Kagramanova, Valeria 2 Kodama, Yuji 2 Kunz, Jutta 2 Lämmerzahl, Claus 2 Tsyganov, Andreĭ Vladimirovich 1 Antunes, Daniel Martins 1 Aomoto, Kazuhiko 1 Bai, Chengjie 1 Bai, Chenglin 1 Baldwin, Sadie 1 Brandt, F. T. 1 Bunkova, Elena Yur’evna 1 Dai, Chaoqing 1 Dai, Huihui 1 Ding, Qi 1 Dong, Yan-Cheng 1 Dragović, Vladimir 1 Eceizabarrena, Daniel 1 Eilers, Keno 1 Fan, Yan 1 Fedorov, Yuri N. 1 Feng, Yang 1 Fernández-Pousa, Carlos R. 1 Gibbons, John 1 Gontsov, Renat R. 1 Hackmann, Eva 1 Hamada, Hiroyasu 1 Hartmann, Betti 1 He, Yi 1 Hu, Xingbiao 1 Jia, Minxin 1 Kajiwara, Kenji 1 Kawakubo, Satoshi 1 Kopeliovich, Yaacov 1 Lachaud, Jacques-Olivier 1 Leĭkin, Dmitriĭ Viktorovich 1 Li, Z. 1 Liu, Huan 1 Liu, Nan 1 Liu, Quanhui 1 Mingari Scarpello, Giovanni 1 Miura, Tatsuya 1 Nakagawa, Junichi 1 Nakano, Kota 1 Nakayashiki, Atsushi 1 Nieszporski, Maciej 1 Ritelli, Daniele 1 Rueda, Sonia L. 1 Saeki, Osamu 1 Salas, Alvaro H. 1 Sánchez-Monroy, J. A. 1 Shigetomi, Shota 1 Shimosako, Yoshiyuki 1 Shinjo, Katsuhiko 1 Shramchenko, Vasilisa 1 Sirimachan, Parinya 1 Sun, Jianqing 1 Suzuki, Joe 1 Swart, Christine S. 1 Talbot, Hugues 1 Uesaka, Masaaki 1 Vainchtein, Anna 1 Vershilov, Alexander Vladimirovich 1 Wang, Chien-Ming 1 Wen, Xiaoyong 1 Xie, Yuancheng 1 Xu, Ling 1 Xu, Meirong 1 Xu, Sipeng 1 Xue, Bo 1 Zemel, Shaul 1 Zhang, Hongqing 1 Zhang, Ning 1 Zhang, Yingnan 1 Zhao, Hong 1 Zurro, María-Angeles all top 5 Cited in 54 Serials 12 Journal of Geometry and Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Reviews in Mathematical Physics 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Applied Mathematics and Computation 3 Transactions of the American Mathematical Society 3 Physica D 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Physics Letters. A 2 Theoretical and Mathematical Physics 2 Functional Analysis and its Applications 2 Journal of the Mathematical Society of Japan 2 Mathematical Physics, Analysis and Geometry 2 Journal of Nonlinear Mathematical Physics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Mathematische Annalen 1 Meccanica 1 Osaka Journal of Mathematics 1 Programming and Computer Software 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Applied Mathematical Modelling 1 Journal of Nonlinear Science 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Regular and Chaotic Dynamics 1 Annales Henri Poincaré 1 Computational Methods and Function Theory 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 Foundations of Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Communications in Computational Physics 1 Analysis and Mathematical Physics 1 JSIAM Letters 1 East Asian Journal on Applied Mathematics 1 Mathematics and Mechanics of Complex Systems 1 Pacific Journal of Mathematics for Industry 1 Applied Mathematics and Nonlinear Sciences all top 5 Cited in 36 Fields 50 Algebraic geometry (14-XX) 42 Dynamical systems and ergodic theory (37-XX) 21 Partial differential equations (35-XX) 12 Number theory (11-XX) 8 Special functions (33-XX) 8 Differential geometry (53-XX) 8 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 4 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year