Edit Profile (opens in new tab) Belokolos, Eugene D. Compute Distance To: Compute Author ID: belokolos.eugene-d Published as: Belokolos, E. D.; Belokolos, Eugene D.; Belokolos, Eugene; Belokolos, E. more...less Documents Indexed: 32 Publications since 1982, including 1 Book Reviewing Activity: 149 Reviews Co-Authors: 14 Co-Authors with 20 Joint Publications 459 Co-Co-Authors all top 5 Co-Authors 12 single-authored 16 Enolskiĭ, Viktor Zelikovich 3 Salerno, Mario 2 Bobenko, Alexander Ivanovich 2 Matveev, Vladimir B. 1 Eilbeck, John Chris 1 Gesztesy, Fritz 1 Its, Alexander Rudolfovich 1 Kharchenko, Dmitrii O. 1 Kharchenko, Vasyl O. 1 Korostil, Andrii M. 1 Makarov, Konstantin A. 1 Pershko, I. M. 1 Sakhnovych, Lev Aronovych 1 Teslyk, M. V. all top 5 Serials 3 Theoretical and Mathematical Physics 3 Journal of Physics A: Mathematical and General 2 Russian Mathematical Surveys 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Functional Analysis and its Applications 2 Journal of Mathematical Sciences (New York) 2 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Classical and Quantum Gravity 1 Teoreticheskaya i Matematicheskaya Fizika 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Acta Applicandae Mathematicae 1 Physica D 1 Matematicheskaya Fizika, Analiz, Geometriya 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Fields 17 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Algebraic geometry (14-XX) 8 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 3 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 403 times in 355 Documents Cited by ▼ Year ▼ Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B. 298 1994 Algebraic-geometric principles of superposition of finite-zone solutions of integrable nonlinear equations. Zbl 0612.35117Belokolos, E. D.; Bobenko, A. I.; Matveev, V. B.; Ehnol’skij, V. Z. 22 1986 Verdier elliptic solitons and the Weierstrass theory of reduction. Zbl 0695.35171Belokolos, E. D.; Ehnol’skij, V. Z. 20 1989 Reduction of theta functions and elliptic finite-gap potentials. Zbl 0827.35113Belokolos, E. D.; Enol’skii, V. Z. 16 1994 Reduction of Abelian functions and algebraically integrable systems. II. Zbl 1059.14045Belokolos, E. D.; Enolskij, V. Z. 10 2002 Reduction of abelian functions and algebraically integrable systems. I. Zbl 1059.14044Belokolos, E. D.; Enolskiĭ, V. Z. 8 2001 Isospectral deformations of elliptic potentials. Zbl 0701.35129Belokolos, E. D.; Ehnol’skij, V. Z. 6 1989 Matrix-valued generalizations of the theorems of Borg and Hochstadt. Zbl 1070.47037Belokolos, Eugene D.; Gesztesy, Fritz; Makarov, Konstantin A.; Sakhnovich, Lev A. 5 2003 General formulas for solutions of initial and boundary-value problems for the sine-Gordon equation. Zbl 0855.35111Belokolos, E. D. 4 1995 Generalized Lamb anzatz. Zbl 0507.35060Belokolos, E. D.; Ehnol’skij, V. Z. 3 1982 Generalized lamb ansatz. Zbl 0547.35080Belokolos, E. D.; Ehnol’skij, V. Z. 2 1983 Exact energy bands and Fermi surfaces of separable abelian potentials. Zbl 1001.81017Belokolos, E. D.; Eilbeck, J. C.; Enolskii, V. Z.; Salerno, M. 2 2001 Wannier functions for quasiperiodic finite-gap potentials. Zbl 1178.14033Belokolos, E. D.; Enolskii, V. Z.; Salerno, M. 2 2005 The integrability and the structure of atom. Zbl 1068.81068Belokolos, E. D. 1 2002 Kinetic equations and the integrable Hamiltonian systems. Zbl 1096.37038Belokolos, E. D. 1 2005 Wannier functions of elliptic one-gap potential. Zbl 1065.81136Belokolos, E. D.; Enolskii, V. Z.; Salerno, M. 1 2004 Relation between smoothness of the potential and size of gaps in the essential spectrum of a Schrödinger operator. Zbl 0491.34024Belokolos, E. D.; Pershko, I. M. 1 1982 Scalar field entanglement entropy of a Schwarzschild black hole from the Schmidt decomposition viewpoint. Zbl 1255.83063Belokolos, E. D.; Teslyk, M. V. 1 2009 Scalar field entanglement entropy of a Schwarzschild black hole from the Schmidt decomposition viewpoint. Zbl 1255.83063Belokolos, E. D.; Teslyk, M. V. 1 2009 Wannier functions for quasiperiodic finite-gap potentials. Zbl 1178.14033Belokolos, E. D.; Enolskii, V. Z.; Salerno, M. 2 2005 Kinetic equations and the integrable Hamiltonian systems. Zbl 1096.37038Belokolos, E. D. 1 2005 Wannier functions of elliptic one-gap potential. Zbl 1065.81136Belokolos, E. D.; Enolskii, V. Z.; Salerno, M. 1 2004 Matrix-valued generalizations of the theorems of Borg and Hochstadt. Zbl 1070.47037Belokolos, Eugene D.; Gesztesy, Fritz; Makarov, Konstantin A.; Sakhnovich, Lev A. 5 2003 Reduction of Abelian functions and algebraically integrable systems. II. Zbl 1059.14045Belokolos, E. D.; Enolskij, V. Z. 10 2002 The integrability and the structure of atom. Zbl 1068.81068Belokolos, E. D. 1 2002 Reduction of abelian functions and algebraically integrable systems. I. Zbl 1059.14044Belokolos, E. D.; Enolskiĭ, V. Z. 8 2001 Exact energy bands and Fermi surfaces of separable abelian potentials. Zbl 1001.81017Belokolos, E. D.; Eilbeck, J. C.; Enolskii, V. Z.; Salerno, M. 2 2001 General formulas for solutions of initial and boundary-value problems for the sine-Gordon equation. Zbl 0855.35111Belokolos, E. D. 4 1995 Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B. 298 1994 Reduction of theta functions and elliptic finite-gap potentials. Zbl 0827.35113Belokolos, E. D.; Enol’skii, V. Z. 16 1994 Verdier elliptic solitons and the Weierstrass theory of reduction. Zbl 0695.35171Belokolos, E. D.; Ehnol’skij, V. Z. 20 1989 Isospectral deformations of elliptic potentials. Zbl 0701.35129Belokolos, E. D.; Ehnol’skij, V. Z. 6 1989 Algebraic-geometric principles of superposition of finite-zone solutions of integrable nonlinear equations. Zbl 0612.35117Belokolos, E. D.; Bobenko, A. I.; Matveev, V. B.; Ehnol’skij, V. Z. 22 1986 Generalized lamb ansatz. Zbl 0547.35080Belokolos, E. D.; Ehnol’skij, V. Z. 2 1983 Generalized Lamb anzatz. Zbl 0507.35060Belokolos, E. D.; Ehnol’skij, V. Z. 3 1982 Relation between smoothness of the potential and size of gaps in the essential spectrum of a Schrödinger operator. Zbl 0491.34024Belokolos, E. D.; Pershko, I. M. 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 359 Authors 35 Geng, Xianguo 22 Fan, Engui 17 Smirnov, Alexander O. 15 Gesztesy, Fritz 12 Enolskiĭ, Viktor Zelikovich 11 Zeng, Xin 9 Ma, Wen-Xiu 9 Matveev, Vladimir B. 8 Deconinck, Bernard 8 Hou, Yu 8 Klein, Christian 8 Wei, Jiao 8 Xue, Bo 8 Zhang, Hongqing 7 Hon, Yiu-Chung 6 Biondini, Gino 6 Chen, Jinbing 6 Dai, Huihui 6 He, Guoliang 6 Lesfari, Ahmed 6 Zhao, Peng 5 Belokolos, Eugene D. 5 Bobenko, Alexander Ivanovich 5 Fedorov, Yuri N. 5 Frauendiener, Jörg 5 Ivey, Thomas A. 5 Teschl, Gerald 5 Tian, Shoufu 5 Weikard, Rudi 5 Zhai, Yunyun 4 Brezhnev, Yurii V. 4 Doliwa, Adam 4 Du, Dianlou 4 El, Gennady A. 4 Its, Alexander Rudolfovich 4 Matsutani, Shigeki 4 Nijhoff, Frank W. 4 Plyushchay, Mikhail S. 4 Tovbis, Alexander 4 Wu, Lihua 3 Boutet de Monvel, Anne Marie 3 Calini, Annalisa M. 3 Cao, Cewen 3 Carroll, Robert Wayne 3 Sobreira de Araujo Corrêa, Francisco Julio 3 Feng, Yang 3 Grinevich, Pëtr Georgievich 3 Hoefer, Mark A. 3 Holden, Helge 3 Kotlyarov, Vladimir P. 3 Marshall, Jonathan S. 3 Qiao, Zhijun 3 Qin, Zhenyun 3 Rui, Wenjuan 3 Santini, Paolo Maria 3 Schober, Constance M. 3 Sun, Jianqing 3 Takemura, Kouichi 3 Yang, Xiao 3 Zhang, Yingnan 3 Zhou, Ruguang 2 Abenda, Simonetta 2 Ablowitz, Mark Jay 2 Bertola, Marco 2 Bogatyrev, Andrei Borisovich 2 Braden, Harry W. 2 Bronski, Jared C. 2 Bukhshtaber, Viktor Matveevich 2 Dragović, Vladimir 2 Dunne, Gerald V. 2 Egorova, Iryna 2 Eilbeck, John Chris 2 Elgin, John N. 2 Feng, Baofeng 2 Gajić, Borislav 2 He, Jingsong 2 Hu, Xingbiao 2 Ichikawa, Takashi 2 Johnson, Mathew A. 2 Khusnutdinova, Karima Robertovna 2 Kodama, Yuji 2 Konopelchenko, Boris Georgievich 2 Korostil, Andrii M. 2 Korotkin, Dmitrii A. 2 Kostov, Nikolay A. 2 Kraus, Daniel K. 2 Krichever, Igor’ Moiseevich 2 Lafortune, Stéphane 2 Lee, Minho 2 Ling, Liming 2 Nakayashiki, Atsushi 2 Nivala, Michael 2 Ônishi, Yoshihiro 2 Osborne, Alfred R. 2 Previato, Emma 2 Salerno, Mario 2 Schlichenmaier, Martin 2 Sebbar, Ahmed 2 Shramchenko, Vasilisa 2 Taimanov, Iskander Asanovich ...and 259 more Authors all top 5 Cited in 107 Serials 29 Journal of Mathematical Physics 26 Physica D 20 Chaos, Solitons and Fractals 18 Theoretical and Mathematical Physics 14 Communications in Mathematical Physics 13 Letters in Mathematical Physics 12 Journal of Geometry and Physics 11 Applied Mathematics and Computation 8 Journal of Nonlinear Mathematical Physics 7 Nonlinearity 7 Acta Applicandae Mathematicae 7 Journal of Nonlinear Science 6 Journal of Mathematical Analysis and Applications 6 Physics Letters. A 6 Studies in Applied Mathematics 5 Mathematical Notes 5 Nuclear Physics. B 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal d’Analyse Mathématique 4 Reports on Mathematical Physics 4 Annals of Physics 4 Regular and Chaotic Dynamics 4 Computational Methods and Function Theory 3 Modern Physics Letters B 3 Reviews in Mathematical Physics 3 Duke Mathematical Journal 3 Functional Analysis and its Applications 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Applied Mathematics Letters 3 Mathematical Physics, Analysis and Geometry 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Geometric Methods in Modern Physics 3 Advances in Difference Equations 3 Journal of Physics A: Mathematical and Theoretical 2 International Journal of Modern Physics B 2 Applicable Analysis 2 Journal of Computational Physics 2 Journal of Statistical Physics 2 Physica A 2 Mathematics of Computation 2 Acta Mathematica 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Differential Geometry and its Applications 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Abstract and Applied Analysis 2 Chaos 2 Physical Review Letters 2 Nonlinear Analysis. Real World Applications 2 Advances in Mathematical Physics 2 East Asian Journal on Applied Mathematics 1 Modern Physics Letters A 1 Archive for Rational Mechanics and Analysis 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Programming and Computer Software 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Numerical Algorithms 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Experimental Mathematics 1 Nuclear Physics. B. Proceedings Supplements 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 European Journal of Mechanics. B. Fluids 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Dynamical Systems and Geometric Theories 1 Analysis and Applications (Singapore) 1 Journal of Statistical Mechanics: Theory and Experiment 1 Boundary Value Problems ...and 7 more Serials all top 5 Cited in 34 Fields 215 Partial differential equations (35-XX) 202 Dynamical systems and ergodic theory (37-XX) 99 Algebraic geometry (14-XX) 38 Quantum theory (81-XX) 33 Ordinary differential equations (34-XX) 24 Functions of a complex variable (30-XX) 23 Special functions (33-XX) 23 Mechanics of particles and systems (70-XX) 19 Fluid mechanics (76-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Difference and functional equations (39-XX) 15 Differential geometry (53-XX) 13 Numerical analysis (65-XX) 11 Operator theory (47-XX) 10 Optics, electromagnetic theory (78-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Nonassociative rings and algebras (17-XX) 5 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year