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Enolskiĭ, Viktor Zelikovich

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Author ID: enolskii.viktor-zelikovich Recent zbMATH articles by "Enolskiĭ, Viktor Zelikovich"
Published as: Enolskii, V. Z.; Enolski, V. Z.; Ehnol’skij, V. Z.; Enol’skij, V. Z.; Ènol’skiĭ, V. Z.; Enol’skii, V. Z.; Enolskij, V. Z.; Enolski, Victor; Enolskii, Victor Z.; Ènol’skii, V. Z.; Enolski, Victor Z.; Enolskii, Victor; Énol’skij, V. Z.; Ènol’skij, V. Z.; Enolskiĭ, V. Z.; Ènolskij, V. Z.; Enolskii, V.
Further Spellings: Энольский Виктор Зеликович
External Links: ORCID · Google Scholar · ResearchGate · Math-Net.Ru
Documents Indexed: 93 Publications since 1978, including 1 Book
Reviewing Activity: 34 Reviews
Biographic References: 1 Publication
Co-Authors: 52 Co-Authors with 91 Joint Publications
1,473 Co-Co-Authors
all top 5

Serials

9 Journal of Physics A: Mathematical and General
7 Russian Mathematical Surveys
7 Functional Analysis and its Applications
4 Journal of Mathematical Physics
4 Physica D
3 Communications in Mathematical Physics
3 Letters in Mathematical Physics
3 Theoretical and Mathematical Physics
3 Journal of Geometry and Physics
2 Mathematical Notes
2 Nonlinearity
2 Physics Letters. A
2 Acta Applicandae Mathematicae
2 IMRN. International Mathematics Research Notices
2 Journal of Mathematical Sciences (New York)
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Matematicheskie Zametki
1 Teoreticheskaya i Matematicheskaya Fizika
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Glasgow Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Soviet Mathematics. Doklady
1 Tokyo Journal of Mathematics
1 Transactions of the Moscow Mathematical Society
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Journal of Nonlinear Science
1 Experimental Mathematics
1 Sbornik: Mathematics
1 Advances in Theoretical and Mathematical Physics
1 Reviews in Mathematics and Mathematical Physics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Nonlinear Mathematical Physics
1 Physica Scripta
1 Journal of Nonlinear Mathematical Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Physics A: Mathematical and Theoretical

Publications by Year

Citations contained in zbMATH Open

77 Publications have been cited 935 times in 594 Documents Cited by Year
Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001
Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B.
307
1994
Kleinian functions, hyperelliptic Jacobians and applications. Zbl 0911.14019
Buchstaber, V. M.; Enolskii, V. Z.; Leykin, D. V.
50
1997
Abelian functions for trigonal curves of genus three. Zbl 1210.14032
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E.
31
2008
Linear \(r\)-matrix algebra for classical separable systems. Zbl 0824.70008
Eilbeck, J. C.; Enol’skij, V. Z.; Kuznetsov, V. B.; Tsiganov, A. V.
28
1994
Rational analogues of Abelian functions. Zbl 1056.14049
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V.
25
1999
Algebraic-geometric principles of superposition of finite-zone solutions of integrable nonlinear equations. Zbl 0612.35117
Belokolos, E. D.; Bobenko, A. I.; Matveev, V. B.; Ehnol’skij, V. Z.
22
1986
Verdier elliptic solitons and the Weierstrass theory of reduction. Zbl 0695.35171
Belokolos, E. D.; Ehnol’skij, V. Z.
20
1989
Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations. Zbl 0978.58012
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V.
20
2000
Quasi-periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type. Zbl 0965.35157
Christiansen, P. L.; Eilbeck, J. C.; Enolskii, V. Z.; Kostov, N. A.
19
2000
Quasi-periodic solutions of the coupled nonlinear Schrödinger equations. Zbl 0866.35110
Christiansen, P. L.; Eilbeck, J. C.; Enolskij, V. Z.; Kostov, N. A.
19
1995
On the Kleinian construction of Abelian functions of canonical algebraic curves. Zbl 1003.14008
Eilbeck, J. C.; Enolskii, V. Z.; Leykin, D. V.
17
2000
Integrable quartic potentials and coupled KdV equations. Zbl 1020.37522
Baker, S.; Ènol’skiĭ, V. Z.; Fordy, A. P.
16
1995
Reduction of theta functions and elliptic finite-gap potentials. Zbl 0827.35113
Belokolos, E. D.; Enol’skii, V. Z.
16
1994
Double pendulum and \(\theta\)-divisor. Zbl 1021.37039
Enolskii, V. Z.; Pronine, M.; Richter, P. H.
15
2003
On the geometry of elliptic solitons. Zbl 0810.35104
Enol’skii, V. Z.; Kostov, N. A.
14
1994
Hyperelliptic Kleinian functions and applications. Zbl 0911.14020
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V.
13
1997
Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in general relativity. Zbl 1213.83039
Enolski, V. Z.; Hackmann, E.; Kagramanova, V.; Kunz, J.; Lämmerzahl, C.
12
2011
Inversion of a general hyperelliptic integral and particle motion in Hořava-Lifshitz black hole space-times. Zbl 1273.83099
Enolski, Victor; Hartmann, Betti; Kagramanova, Valeria; Kunz, Jutta; Lämmerzahl, Claus; Sirimachan, Parinya
12
2012
Elliptic Baker-Akhiezer functions and an application to an integrable dynamical system. Zbl 0978.33501
Eilbeck, J. C.; Enol’skii, V. Z.
11
1994
Bilinear recurrences and addition formulae for hyperelliptic sigma functions. Zbl 1126.11007
Braden, Harry W.; Enolskii, Victor Z.; Hone, Andrew N. W.
11
2005
Thomae type formulae for singular \(Z_N\) curves. Zbl 1159.14018
Enolski, V. Z.; Grava, T.
11
2006
Schur function expansions of KP \( \tau\)-functions associated to algebraic curves. Zbl 1231.14025
Harnad, J.; Ènol’skii, V. Z.
11
2011
Periods of hyperelliptic integrals expressed in terms of \(\theta \)-constants by means of Thomae formulae. Zbl 1153.33308
Enolski, Victor; Richter, Peter
11
2008
There’s more than one way to skin Schrödinger’s cat. Zbl 0760.58051
Enol’skij, V. Z.; Salerno, M.; Scott, A. C.; Eilbeck, J. C.
10
1992
Reduction of Abelian functions and algebraically integrable systems. II. Zbl 1059.14045
Belokolos, E. D.; Enolskij, V. Z.
10
2002
On the tetrahedrally symmetric monopole. Zbl 1205.81134
Braden, H. W.; Enolski, V. Z.
10
2010
Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations. Zbl 0973.35175
Eilbeck, J. C.; Enolskii, V. Z.; Kostov, N. A.
9
2000
Dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals of elliptic integrals. Zbl 0602.14031
Its, A. R.; Ehnol’skij, V. Z.
9
1986
\(\sigma\)-functions of \((n,s)\)-curves. Zbl 1081.14519
Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z.
8
1999
Alternate quantizations of the discrete self-trapping dimer. Zbl 1063.81605
Ènol’skiĭ, V. Z.; Salerno, M.; Kostov, N. A.; Scott, A. C.
8
1991
On the two-gap locus for the elliptic Calogero-Moser model. Zbl 0854.35097
Enolskij, V. Z.; Eilbeck, J. C.
8
1995
On the quantum inverse scattering method for the DST dimer. Zbl 0801.47005
Enol’skii, V. Z.; Kuznetsov, V. B.; Salerno, M.
8
1993
Reduction of abelian functions and algebraically integrable systems. I. Zbl 1059.14044
Belokolos, E. D.; Enolskiĭ, V. Z.
8
2001
Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129
Elgin, J. N.; Enolski, V. Z.; Its, A. R.
8
2007
Bilinear operators and the power series for the Weierstrass \(\sigma\) function. Zbl 0955.33015
Eilbeck, J. C.; Enolskii, V. Z.
7
2000
Isospectral deformations of elliptic potentials. Zbl 0701.35129
Belokolos, E. D.; Ehnol’skij, V. Z.
6
1989
Spectral characteristics of elliptic solitons. Zbl 0818.35097
Kostov, N. A.; Énol’skij, V. Z.
6
1993
Singular \(Z_N\)-curves and the Riemann-Hilbert problem. Zbl 1104.34061
Enolski, V. Z.; Grava, T.
6
2004
Two-component Bose-Einstein condensates in optical lattices. Zbl 1099.35529
Kostov, N. A.; Gerdjikov, V. S.; Enol’skii, V. Z.; Salerno, M.; Konotop, V. V.
6
2004
Sigma, tau and abelian functions of algebraic curves. Zbl 1223.14067
Eilbeck, J. C.; Enolski, V. Z.; Gibbons, J.
6
2010
Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion. Zbl 1273.70009
Braden, H. W.; Enolski, V. Z.; Fedorov, Yu N.
5
2013
Integrable mappings of KdV type and hyperelliptic addition theorems. Zbl 0928.37015
Nijhoff, F. W.; Enolskii, V. Z.
5
1999
Solution for the dynamics of the BCS and central spin problems. Zbl 1100.82027
Yuzbashyan, Emil A.; Altshuler, Boris L.; Kuznetsov, Vadim B.; Enolskii, Victor Z.
5
2005
On a generalized Frobenius-Stickelberger addition formula. Zbl 1042.14015
Eilbeck, J. C.; Enolskii, V. Z.; Previato, E.
5
2003
Integrable systems on a sphere as models for quantum dots. Zbl 1054.81021
Salerno, Mario; De Filippo, S.; Tufino, E.; Enolskii, V. Z.
4
2001
Lax representation for two-particle dynamics splitting on two tori. Zbl 0903.35070
Enolskij, V. Z.; Salerno, M.
4
1996
The hyperelliptic \(\zeta\)-function and the integrable massive Thirring model. Zbl 1101.14314
Eilbeck, J. C.; Enolskii, V. Z.; Holden, H.
4
2003
On charge-3 cyclic monopoles. Zbl 1226.14046
Braden, H. W.; D’Avanzo, Antonella; Enolski, V. Z.
3
2011
A recursive family of differential polynomials generated by the Sylvester identity, and addition theorems for hyperelliptic Kleinian functions. Zbl 1126.33301
Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z.
3
1997
Periods of second kind differentials of \((n,s)\)-curves. Zbl 1302.30053
Eilbeck, J. C.; Eilers, K.; Enolski, V. Z.
3
2013
On solutions in elliptic functions of integrable nonlinear equations associated with two-zone Lamé potentials. Zbl 0598.35105
Ehnol’skij, V. Z.
3
1984
Generalized Lamb anzatz. Zbl 0507.35060
Belokolos, E. D.; Ehnol’skij, V. Z.
3
1982
Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties. Zbl 1165.14022
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E.
3
2008
Algebraic description of Jacobians isogenous to certain Prym varieties with polarization \((1,2)\). (Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization \((1,2)\).) Zbl 1412.14022
Enolski, V. Z.; Fedorov, Yu. N.
3
2018
A \(\text{SL}(2)\) covariant theory of genus 2 hyperelliptic functions. Zbl 1063.33001
Athorne, Chris; Eilbeck, J. C.; Enolskii, V. Z.
3
2004
Some remarks on the Ercolani-Sinha construction of monopoles. Zbl 1255.81196
Braden, H. W.; Enolski, V. Z.
3
2010
Sato Grassmannian and degenerate sigma function. Zbl 1435.14047
Bernatska, Julia; Enolski, Victor; Nakayashiki, Atsushi
3
2020
Wannier functions for quasiperiodic finite-gap potentials. Zbl 1178.14033
Belokolos, E. D.; Enolskii, V. Z.; Salerno, M.
2
2005
Finite-gap integration of the \(\text{SU}(2)\) Bogomolny equations. Zbl 1200.53026
Braden, H. W.; Enolskii, V. Z.
2
2009
Exact energy bands and Fermi surfaces of separable abelian potentials. Zbl 1001.81017
Belokolos, E. D.; Eilbeck, J. C.; Enolskii, V. Z.; Salerno, M.
2
2001
Varieties of elliptic solitons. Zbl 0988.35138
Eilbeck, J. C.; Enolskii, V. Z.; Previato, E.
2
2001
Elliptic solutions and blow-up in an integrable Hénon-Heiles system. Zbl 0814.35118
Eilbeck, J. C.; Enol’skij, V. Z.
2
1994
Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system. Zbl 1346.14096
Enolski, V. Z.; Fedorov, Yu. N.; Hone, A. N. W.
2
2015
Generalized lamb ansatz. Zbl 0547.35080
Belokolos, E. D.; Ehnol’skij, V. Z.
2
1983
Thomae’s derivative formulae for trigonal curves. Zbl 1433.14025
Enolski, Victor; Kopeliovich, Yaacov; Zemel, Shaul
2
2020
The construction of monopoles. Zbl 1396.81132
Braden, H. W.; Enolski, V. Z.
2
2018
Classical Poisson structure for a hierarchy of one-dimensional particle systems separable in parabolic coordinates. Zbl 0952.37026
Eilbeck, J. C.; Ènol’skii, V. Z.; Kuznetsov, V. B.; Leykin, D. V.
1
1994
The classical massive Thirring system revisited. Zbl 0968.37024
Enolskii, V. Z.; Gesztesy, F.; Holden, H.
1
2000
Explicit algebraic description of hyperelliptic Jacobians on the basis of the Klein \(\sigma\)-functions. Zbl 0886.14008
Bukhshtaber, V. M.; Ènolskij, V. Z.
1
1996
Multidimensional Schrödinger equations with abelian potentials. Zbl 1059.81036
Buchstaber, V. M.; Eilbeck, J. C.; Enolskii, V. Z.; Leykin, D. V.; Salerno, M.
1
2002
Wannier functions of elliptic one-gap potential. Zbl 1065.81136
Belokolos, E. D.; Enolskii, V. Z.; Salerno, M.
1
2004
The differential equations for the Feynman amplitude of a single-loop graph with four vertices. Zbl 0404.35062
Golubeva, V. A.; Ehnol’skij, V. Z.
1
1978
SU(2)-monopoles, curves with symmetries and Ramanujan’s heritage. Zbl 1206.81081
Braden, H. W.; Enolski, V. Z.
1
2010
The addition law attached to a stratification of a hyperelliptic Jacobian variety. Zbl 1167.14016
Enolskii, Victor; Matsutani, Shigeki; Ônishi, Yoshihiro
1
2008
Abelian Bloch solutions of the two-dimensional Schrödinger equation. Zbl 0847.35091
Bukhshtaber, V. M.; Enol’skij, V. Z.
1
1995
Identities for the classical genus two \({\wp}\) function. Zbl 1056.33016
Athorne, Chris; Eilbeck, J. C.; Enolskii, V. Z.
1
2003
\(\sigma\)-functions: old and new results. Zbl 1473.14057
Buchstaber, V. M.; Enolski, V. Z.; Leykin, D. V.
1
2020
Sato Grassmannian and degenerate sigma function. Zbl 1435.14047
Bernatska, Julia; Enolski, Victor; Nakayashiki, Atsushi
3
2020
Thomae’s derivative formulae for trigonal curves. Zbl 1433.14025
Enolski, Victor; Kopeliovich, Yaacov; Zemel, Shaul
2
2020
\(\sigma\)-functions: old and new results. Zbl 1473.14057
Buchstaber, V. M.; Enolski, V. Z.; Leykin, D. V.
1
2020
Algebraic description of Jacobians isogenous to certain Prym varieties with polarization \((1,2)\). (Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization \((1,2)\).) Zbl 1412.14022
Enolski, V. Z.; Fedorov, Yu. N.
3
2018
The construction of monopoles. Zbl 1396.81132
Braden, H. W.; Enolski, V. Z.
2
2018
Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system. Zbl 1346.14096
Enolski, V. Z.; Fedorov, Yu. N.; Hone, A. N. W.
2
2015
Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion. Zbl 1273.70009
Braden, H. W.; Enolski, V. Z.; Fedorov, Yu N.
5
2013
Periods of second kind differentials of \((n,s)\)-curves. Zbl 1302.30053
Eilbeck, J. C.; Eilers, K.; Enolski, V. Z.
3
2013
Inversion of a general hyperelliptic integral and particle motion in Hořava-Lifshitz black hole space-times. Zbl 1273.83099
Enolski, Victor; Hartmann, Betti; Kagramanova, Valeria; Kunz, Jutta; Lämmerzahl, Claus; Sirimachan, Parinya
12
2012
Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in general relativity. Zbl 1213.83039
Enolski, V. Z.; Hackmann, E.; Kagramanova, V.; Kunz, J.; Lämmerzahl, C.
12
2011
Schur function expansions of KP \( \tau\)-functions associated to algebraic curves. Zbl 1231.14025
Harnad, J.; Ènol’skii, V. Z.
11
2011
On charge-3 cyclic monopoles. Zbl 1226.14046
Braden, H. W.; D’Avanzo, Antonella; Enolski, V. Z.
3
2011
On the tetrahedrally symmetric monopole. Zbl 1205.81134
Braden, H. W.; Enolski, V. Z.
10
2010
Sigma, tau and abelian functions of algebraic curves. Zbl 1223.14067
Eilbeck, J. C.; Enolski, V. Z.; Gibbons, J.
6
2010
Some remarks on the Ercolani-Sinha construction of monopoles. Zbl 1255.81196
Braden, H. W.; Enolski, V. Z.
3
2010
SU(2)-monopoles, curves with symmetries and Ramanujan’s heritage. Zbl 1206.81081
Braden, H. W.; Enolski, V. Z.
1
2010
Finite-gap integration of the \(\text{SU}(2)\) Bogomolny equations. Zbl 1200.53026
Braden, H. W.; Enolskii, V. Z.
2
2009
Abelian functions for trigonal curves of genus three. Zbl 1210.14032
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E.
31
2008
Periods of hyperelliptic integrals expressed in terms of \(\theta \)-constants by means of Thomae formulae. Zbl 1153.33308
Enolski, Victor; Richter, Peter
11
2008
Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties. Zbl 1165.14022
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E.
3
2008
The addition law attached to a stratification of a hyperelliptic Jacobian variety. Zbl 1167.14016
Enolskii, Victor; Matsutani, Shigeki; Ônishi, Yoshihiro
1
2008
Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129
Elgin, J. N.; Enolski, V. Z.; Its, A. R.
8
2007
Thomae type formulae for singular \(Z_N\) curves. Zbl 1159.14018
Enolski, V. Z.; Grava, T.
11
2006
Bilinear recurrences and addition formulae for hyperelliptic sigma functions. Zbl 1126.11007
Braden, Harry W.; Enolskii, Victor Z.; Hone, Andrew N. W.
11
2005
Solution for the dynamics of the BCS and central spin problems. Zbl 1100.82027
Yuzbashyan, Emil A.; Altshuler, Boris L.; Kuznetsov, Vadim B.; Enolskii, Victor Z.
5
2005
Wannier functions for quasiperiodic finite-gap potentials. Zbl 1178.14033
Belokolos, E. D.; Enolskii, V. Z.; Salerno, M.
2
2005
Singular \(Z_N\)-curves and the Riemann-Hilbert problem. Zbl 1104.34061
Enolski, V. Z.; Grava, T.
6
2004
Two-component Bose-Einstein condensates in optical lattices. Zbl 1099.35529
Kostov, N. A.; Gerdjikov, V. S.; Enol’skii, V. Z.; Salerno, M.; Konotop, V. V.
6
2004
A \(\text{SL}(2)\) covariant theory of genus 2 hyperelliptic functions. Zbl 1063.33001
Athorne, Chris; Eilbeck, J. C.; Enolskii, V. Z.
3
2004
Wannier functions of elliptic one-gap potential. Zbl 1065.81136
Belokolos, E. D.; Enolskii, V. Z.; Salerno, M.
1
2004
Double pendulum and \(\theta\)-divisor. Zbl 1021.37039
Enolskii, V. Z.; Pronine, M.; Richter, P. H.
15
2003
On a generalized Frobenius-Stickelberger addition formula. Zbl 1042.14015
Eilbeck, J. C.; Enolskii, V. Z.; Previato, E.
5
2003
The hyperelliptic \(\zeta\)-function and the integrable massive Thirring model. Zbl 1101.14314
Eilbeck, J. C.; Enolskii, V. Z.; Holden, H.
4
2003
Identities for the classical genus two \({\wp}\) function. Zbl 1056.33016
Athorne, Chris; Eilbeck, J. C.; Enolskii, V. Z.
1
2003
Reduction of Abelian functions and algebraically integrable systems. II. Zbl 1059.14045
Belokolos, E. D.; Enolskij, V. Z.
10
2002
Multidimensional Schrödinger equations with abelian potentials. Zbl 1059.81036
Buchstaber, V. M.; Eilbeck, J. C.; Enolskii, V. Z.; Leykin, D. V.; Salerno, M.
1
2002
Reduction of abelian functions and algebraically integrable systems. I. Zbl 1059.14044
Belokolos, E. D.; Enolskiĭ, V. Z.
8
2001
Integrable systems on a sphere as models for quantum dots. Zbl 1054.81021
Salerno, Mario; De Filippo, S.; Tufino, E.; Enolskii, V. Z.
4
2001
Exact energy bands and Fermi surfaces of separable abelian potentials. Zbl 1001.81017
Belokolos, E. D.; Eilbeck, J. C.; Enolskii, V. Z.; Salerno, M.
2
2001
Varieties of elliptic solitons. Zbl 0988.35138
Eilbeck, J. C.; Enolskii, V. Z.; Previato, E.
2
2001
Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations. Zbl 0978.58012
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V.
20
2000
Quasi-periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type. Zbl 0965.35157
Christiansen, P. L.; Eilbeck, J. C.; Enolskii, V. Z.; Kostov, N. A.
19
2000
On the Kleinian construction of Abelian functions of canonical algebraic curves. Zbl 1003.14008
Eilbeck, J. C.; Enolskii, V. Z.; Leykin, D. V.
17
2000
Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations. Zbl 0973.35175
Eilbeck, J. C.; Enolskii, V. Z.; Kostov, N. A.
9
2000
Bilinear operators and the power series for the Weierstrass \(\sigma\) function. Zbl 0955.33015
Eilbeck, J. C.; Enolskii, V. Z.
7
2000
The classical massive Thirring system revisited. Zbl 0968.37024
Enolskii, V. Z.; Gesztesy, F.; Holden, H.
1
2000
Rational analogues of Abelian functions. Zbl 1056.14049
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V.
25
1999
\(\sigma\)-functions of \((n,s)\)-curves. Zbl 1081.14519
Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z.
8
1999
Integrable mappings of KdV type and hyperelliptic addition theorems. Zbl 0928.37015
Nijhoff, F. W.; Enolskii, V. Z.
5
1999
Kleinian functions, hyperelliptic Jacobians and applications. Zbl 0911.14019
Buchstaber, V. M.; Enolskii, V. Z.; Leykin, D. V.
50
1997
Hyperelliptic Kleinian functions and applications. Zbl 0911.14020
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V.
13
1997
A recursive family of differential polynomials generated by the Sylvester identity, and addition theorems for hyperelliptic Kleinian functions. Zbl 1126.33301
Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z.
3
1997
Lax representation for two-particle dynamics splitting on two tori. Zbl 0903.35070
Enolskij, V. Z.; Salerno, M.
4
1996
Explicit algebraic description of hyperelliptic Jacobians on the basis of the Klein \(\sigma\)-functions. Zbl 0886.14008
Bukhshtaber, V. M.; Ènolskij, V. Z.
1
1996
Quasi-periodic solutions of the coupled nonlinear Schrödinger equations. Zbl 0866.35110
Christiansen, P. L.; Eilbeck, J. C.; Enolskij, V. Z.; Kostov, N. A.
19
1995
Integrable quartic potentials and coupled KdV equations. Zbl 1020.37522
Baker, S.; Ènol’skiĭ, V. Z.; Fordy, A. P.
16
1995
On the two-gap locus for the elliptic Calogero-Moser model. Zbl 0854.35097
Enolskij, V. Z.; Eilbeck, J. C.
8
1995
Abelian Bloch solutions of the two-dimensional Schrödinger equation. Zbl 0847.35091
Bukhshtaber, V. M.; Enol’skij, V. Z.
1
1995
Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001
Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B.
307
1994
Linear \(r\)-matrix algebra for classical separable systems. Zbl 0824.70008
Eilbeck, J. C.; Enol’skij, V. Z.; Kuznetsov, V. B.; Tsiganov, A. V.
28
1994
Reduction of theta functions and elliptic finite-gap potentials. Zbl 0827.35113
Belokolos, E. D.; Enol’skii, V. Z.
16
1994
On the geometry of elliptic solitons. Zbl 0810.35104
Enol’skii, V. Z.; Kostov, N. A.
14
1994
Elliptic Baker-Akhiezer functions and an application to an integrable dynamical system. Zbl 0978.33501
Eilbeck, J. C.; Enol’skii, V. Z.
11
1994
Elliptic solutions and blow-up in an integrable Hénon-Heiles system. Zbl 0814.35118
Eilbeck, J. C.; Enol’skij, V. Z.
2
1994
Classical Poisson structure for a hierarchy of one-dimensional particle systems separable in parabolic coordinates. Zbl 0952.37026
Eilbeck, J. C.; Ènol’skii, V. Z.; Kuznetsov, V. B.; Leykin, D. V.
1
1994
On the quantum inverse scattering method for the DST dimer. Zbl 0801.47005
Enol’skii, V. Z.; Kuznetsov, V. B.; Salerno, M.
8
1993
Spectral characteristics of elliptic solitons. Zbl 0818.35097
Kostov, N. A.; Énol’skij, V. Z.
6
1993
There’s more than one way to skin Schrödinger’s cat. Zbl 0760.58051
Enol’skij, V. Z.; Salerno, M.; Scott, A. C.; Eilbeck, J. C.
10
1992
Alternate quantizations of the discrete self-trapping dimer. Zbl 1063.81605
Ènol’skiĭ, V. Z.; Salerno, M.; Kostov, N. A.; Scott, A. C.
8
1991
Verdier elliptic solitons and the Weierstrass theory of reduction. Zbl 0695.35171
Belokolos, E. D.; Ehnol’skij, V. Z.
20
1989
Isospectral deformations of elliptic potentials. Zbl 0701.35129
Belokolos, E. D.; Ehnol’skij, V. Z.
6
1989
Algebraic-geometric principles of superposition of finite-zone solutions of integrable nonlinear equations. Zbl 0612.35117
Belokolos, E. D.; Bobenko, A. I.; Matveev, V. B.; Ehnol’skij, V. Z.
22
1986
Dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals of elliptic integrals. Zbl 0602.14031
Its, A. R.; Ehnol’skij, V. Z.
9
1986
On solutions in elliptic functions of integrable nonlinear equations associated with two-zone Lamé potentials. Zbl 0598.35105
Ehnol’skij, V. Z.
3
1984
Generalized lamb ansatz. Zbl 0547.35080
Belokolos, E. D.; Ehnol’skij, V. Z.
2
1983
Generalized Lamb anzatz. Zbl 0507.35060
Belokolos, E. D.; Ehnol’skij, V. Z.
3
1982
The differential equations for the Feynman amplitude of a single-loop graph with four vertices. Zbl 0404.35062
Golubeva, V. A.; Ehnol’skij, V. Z.
1
1978
all top 5

Cited by 595 Authors

41 Geng, Xianguo
26 Enolskiĭ, Viktor Zelikovich
23 Fan, Engui
17 Bukhshtaber, Viktor Matveevich
17 Matsutani, Shigeki
17 Smirnov, Alexander O.
16 Gesztesy, Fritz
16 Tsyganov, Andreĭ Vladimirovich
14 Ma, Wen-Xiu
13 Previato, Emma
12 He, Guoliang
11 Eilbeck, John Chris
11 Zeng, Xin
9 Matveev, Vladimir B.
9 Wu, Lihua
9 Xue, Bo
9 Zhang, Hongqing
8 Deconinck, Bernard
8 Hone, Andrew N. W.
8 Hou, Yu
8 Klein, Christian
8 Wei, Jiao
7 Braden, Harry W.
7 Brezhnev, Yurii V.
7 Chen, Jinbing
7 Du, Dianlou
7 Fedorov, Yuri N.
7 Hon, Yiu-Chung
7 Leĭkin, Dmitriĭ Viktorovich
7 Lesfari, Ahmed
7 Nakayashiki, Atsushi
7 Zhai, Yunyun
6 Ayano, Takanori
6 Biondini, Gino
6 Bunkova, Elena Yur’evna
6 Dai, Huihui
6 Ônishi, Yoshihiro
6 Teschl, Gerald
6 Tian, Shoufu
6 Weikard, Rudi
6 Zhao, Peng
6 Zhou, Ruguang
5 Bernatska, Julia
5 Bobenko, Alexander Ivanovich
5 Cao, Cewen
5 Doliwa, Adam
5 Dragović, Vladimir
5 Frauendiener, Jörg
5 Ivey, Thomas A.
5 Kostov, Nikolay A.
5 Nijhoff, Frank W.
5 Zeng, Yunbo
4 Abenda, Simonetta
4 Athorne, Chris
4 Feng, Yang
4 Gerdzhikov, Vladimir Stefanov
4 Grinevich, Pëtr Georgievich
4 Its, Alexander Rudolfovich
4 Lämmerzahl, Claus
4 Plyushchay, Mikhail S.
4 Qiao, Zhijun
4 Rogers, Colin
4 Shramchenko, Vasilisa
4 Skrypnyk, Taras Volodymyrovych
4 Tovbis, Alexander
4 Xia, Baoqiang
3 Belokolos, Eugene D.
3 Bogatyrev, Andrei Borisovich
3 Calini, Annalisa M.
3 Carroll, Robert Wayne
3 Conte, Robert Maurice
3 Sobreira de Araujo Corrêa, Francisco Julio
3 Dubrovin, Boris Anatol’evich
3 Eilers, Keno
3 El, Gennady A.
3 Gibbons, John
3 Hackmann, Eva
3 Hoefer, Mark A.
3 Holden, Helge
3 Hu, Xingbiao
3 Kopeliovich, Yaacov
3 Korotkin, Dmitrii A.
3 Krichever, Igor’ Moiseevich
3 Kunz, Jutta
3 Kuznetsov, Vadim Borisovich
3 Links, Jon Robert
3 Marshall, Jonathan S.
3 Qin, Zhenyun
3 Rui, Wenjuan
3 Salerno, Mario
3 Santini, Paolo Maria
3 Schober, Constance M.
3 Sun, Jianqing
3 Taimanov, Iskander Asanovich
3 Takemura, Kouichi
3 Wright, Otis Clarence III
3 Yang, Di
3 Yang, Xiao
3 Zemel, Shaul
3 Zhang, Yingnan
...and 495 more Authors
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Cited in 147 Serials

58 Journal of Mathematical Physics
37 Physica D
29 Theoretical and Mathematical Physics
25 Letters in Mathematical Physics
24 Journal of Geometry and Physics
23 Chaos, Solitons and Fractals
17 Communications in Mathematical Physics
15 Applied Mathematics and Computation
14 Functional Analysis and its Applications
14 Journal of Nonlinear Mathematical Physics
13 Physics Letters. A
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Mathematical Notes
8 Nonlinearity
8 Studies in Applied Mathematics
7 Journal of Mathematical Analysis and Applications
7 Nuclear Physics. B
7 Acta Applicandae Mathematicae
7 Journal of Nonlinear Science
7 Journal of Physics A: Mathematical and Theoretical
6 Regular and Chaotic Dynamics
6 Computational Methods and Function Theory
5 Journal d’Analyse Mathématique
5 Transactions of the American Mathematical Society
5 Communications in Nonlinear Science and Numerical Simulation
5 Proceedings of the Steklov Institute of Mathematics
4 Modern Physics Letters B
4 Applicable Analysis
4 International Journal of Theoretical Physics
4 Reports on Mathematical Physics
4 Reviews in Mathematical Physics
4 Annals of Physics
4 Journal of Mathematical Sciences (New York)
4 Mathematical Physics, Analysis and Geometry
4 Journal of High Energy Physics
4 International Journal of Geometric Methods in Modern Physics
4 Journal of Statistical Mechanics: Theory and Experiment
4 Analysis and Mathematical Physics
3 Physica A
3 Wave Motion
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Mathematics of Computation
3 Advances in Mathematics
3 Duke Mathematical Journal
3 Mathematische Zeitschrift
3 Proceedings of the American Mathematical Society
3 Transactions of the Moscow Mathematical Society
3 Applied Mathematics Letters
3 Abstract and Applied Analysis
3 Physical Review Letters
3 Advances in Difference Equations
3 Advances in Mathematical Physics
2 International Journal of Modern Physics B
2 Archive for Rational Mechanics and Analysis
2 Journal of Computational Physics
2 Journal of Statistical Physics
2 Acta Mathematica
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
2 Journal of the Mathematical Society of Japan
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Ricerche di Matematica
2 Tokyo Journal of Mathematics
2 Revista Matemática Iberoamericana
2 International Journal of Mathematics
2 Differential Geometry and its Applications
2 Computational Mathematics and Mathematical Physics
2 Linear Algebra and its Applications
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 St. Petersburg Mathematical Journal
2 The Ramanujan Journal
2 Nonlinear Dynamics
2 Chaos
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Nonlinear Analysis. Real World Applications
2 Boundary Value Problems
2 East Asian Journal on Applied Mathematics
2 Arnold Mathematical Journal
2 European Journal of Mathematics
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Astrophysics and Space Science
1 Classical and Quantum Gravity
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. B
1 Russian Mathematical Surveys
1 Fortschritte der Physik
1 Annales de l’Institut Fourier
1 Collectanea Mathematica
1 Glasgow Mathematical Journal
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
...and 47 more Serials
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Cited in 45 Fields

307 Dynamical systems and ergodic theory (37-XX)
284 Partial differential equations (35-XX)
187 Algebraic geometry (14-XX)
79 Quantum theory (81-XX)
54 Mechanics of particles and systems (70-XX)
47 Special functions (33-XX)
43 Ordinary differential equations (34-XX)
36 Functions of a complex variable (30-XX)
33 Statistical mechanics, structure of matter (82-XX)
29 Differential geometry (53-XX)
24 Fluid mechanics (76-XX)
22 Difference and functional equations (39-XX)
18 Number theory (11-XX)
15 Several complex variables and analytic spaces (32-XX)
15 Optics, electromagnetic theory (78-XX)
14 Nonassociative rings and algebras (17-XX)
14 Operator theory (47-XX)
14 Numerical analysis (65-XX)
13 Relativity and gravitational theory (83-XX)
10 Global analysis, analysis on manifolds (58-XX)
9 Mechanics of deformable solids (74-XX)
6 Commutative algebra (13-XX)
6 Associative rings and algebras (16-XX)
5 Computer science (68-XX)
4 Combinatorics (05-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Integral equations (45-XX)
3 Functional analysis (46-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Manifolds and cell complexes (57-XX)
2 Probability theory and stochastic processes (60-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
1 Category theory; homological algebra (18-XX)
1 Approximations and expansions (41-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year