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Shabat, Alekseĭ Borisovich

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Author ID: shabat.aleksei-borisovich Recent zbMATH articles by "Shabat, Alekseĭ Borisovich"
Published as: Shabat, A.; Shabat, A. B.; Shabat, Aleksey Borisovich; Shabat, Alekseĭ Borisovich; Shabat, Alexei; Shabat, Alexey B.
Homepage: https://www.itp.ac.ru/en/persons/shabat-aleksei-borisovich/
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 114 Publications since 1962, including 2 Books
Biographic References: 5 Publications
all top 5

Co-Authors

37 single-authored
13 Adler, Vsevolod Eduardovich
6 Sokolov, Vladimir Vyacheslavovich
6 Yamilov, Ravil Islamovich
5 Alonso, L. Martínez
5 Ibragimov, Nail Hairullovich
5 Kulaev, Ruslan Chermenovich
4 Mikhajlov, A. V.
3 Gerdt, Vladimir P.
3 Leznov, Andreĭ Nikolaevich
3 Marikhin, Vladimir G.
3 Svinolupov, S. I.
3 Zharkov, A. Yu.
3 Zhiber, Anatoliĭ Vasil’evich
2 Artisevich, Anzhela Evgen’evna
2 Badakhov, Mukhtar Shamil’evich
2 Degasperis, Antonio
2 Elkanova, Z. S.
2 Khabibullin, Ismagil Talgatovich
2 Mikhailov, Alexandre V.
2 Pogrebkov, Andrei K.
2 Smirnov, V. G.
2 Veselov, Alexander Petrovich
2 Zakharov, Vladimir Evgen’evich
2 Zhiber, Anatoliĭ Vasil’vich
1 Akbasheva, M. S.
1 Allakhverdyan, Alina Al’bertovna
1 Araf’eva, I. Ya.
1 Bychkov, Boris S.
1 Chankaev, M. Kh.
1 Dobrokhotov, Sergei Yurievich
1 Èfendiev, Magomed Khochalaevich
1 Elhanova, Zariyat Saidakhmatova
1 Fordy, Allan P.
1 Gabiev, R. A.
1 Garifullin, Rustem Nailevich
1 Gershtein, S. S.
1 González-López, Artemio
1 Hernández Heredero, Rafael
1 Kholevo, Aleksandr Semënovich
1 Kazakov, Dmitri I.
1 Krasovskij, Yu. P.
1 Kulish, Petr Petrovich
1 Lavrent’ev, Mikhail Alekseevich
1 Levi, Decio
1 Libanov, M. V.
1 Logunov, Anatoliĭ Alekseevich
1 Mañas, Manuel
1 Marshakov, Andrei V.
1 Martínez Alonso, Luis
1 Maslov, Viktor Pavlovich
1 Mikhailov, Aleksandr V.
1 Moiseev, Nikita Nikolaevich
1 Morozov, Alexei Yurievich
1 Murtazina, R. D.
1 Musso, Fabio
1 Plakida, N. M.
1 Ragnisco, Orlando
1 Rodríguez, Miguel Angel
1 Rubakov, Valery A.
1 Semikhatov, Alexei M.
1 Slavyanov, Sergeĭ Yur’evich
1 Ter-Krikorov, A. M.
1 Tyutin, Igor Viktorovich
1 Urusova, A. B.
1 Veremeenko, Ol’ga Yur’evna

Publications by Year

Citations contained in zbMATH

75 Publications have been cited 1,247 times in 885 Documents Cited by Year
A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I. Zbl 0303.35024
Zakharov, V. E.; Shabat, A. B.
240
1974
Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II. Zbl 0448.35090
Zakharov, V. E.; Shabat, A. B.
146
1980
The symmetry approach to classification of integrable equations. Zbl 0741.35070
Mikhailov, A. V.; Shabat, A. B.; Sokolov, V. V.
111
1991
Dressing chains and the spectral theory of the Schrödinger operator. Zbl 0813.35099
Veselov, A. P.; Shabat, A. B.
85
1993
The symmetry approach to the classification of nonlinear equations. Complete lists of integrable systems. Zbl 0646.35010
Mikhajlov, A. V.; Shabat, A. B.; Yamilov, R. I.
68
1987
Symmetry approach to the integrability problem. Zbl 1029.37041
Adler, V. E.; Shabat, A. B.; Yamilov, R. I.
41
2000
The infinite-dimensional dressing dynamical system. Zbl 0762.35098
Shabat, A.
41
1992
Hydrodynamic reductions and solutions of a universal hierarchy. Zbl 1178.37067
Alonso, L. Martínez; Shabat, A. B.
33
2004
To a transformation theory of two-dimensional integrable systems. Zbl 0962.37509
Shabat, A. B.; Yamilov, R. I.
30
1997
Symmetries of nonlinear chains. Zbl 0722.35006
Shabat, A. B.; Yamilov, R. I.
26
1991
Extension of the module of invertible transformations. Classification of integrable systems. Zbl 0659.35091
Mikhajlov, A. V.; Shabat, A. B.; Yamilov, R. I.
26
1988
Classification of integrable evolution equations. Zbl 0554.35107
Sokolov, V. V.; Shabat, A. B.
25
1984
Evolutionary equations with nontrivial Lie-Bäcklund group. Zbl 0473.35007
Ibragimov, N. Kh.; Shabat, A. B.
23
1980
On the prolongation of a hierarchy of hydrodynamic chains. Zbl 1061.35099
Shabat, A. B.; Martínez Alonso, L.
20
2004
The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems. Zbl 0547.35024
Leznov, A. N.; Smirnov, V. G.; Shabat, A. B.
19
1982
Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092
Martínez Alonso, L.; Shabat, A. B.
16
2003
Characteristic Lie rings and integrable models in mathematical physics. Zbl 1299.35020
Zhiber, A. V.; Murtazina, R. D.; Habibullin, I. T.; Shabat, A. B.
15
2012
Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type. Zbl 0997.37045
Martínez Alonso, L.; Shabat, A. B.
13
2002
Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type. Zbl 0996.37072
Martínez Alonso, L.; Shabat, A. B.
13
2002
On the theory of Laplace-Darboux transformations. Zbl 0855.35004
Shabat, A. B.
13
1995
Infinte Lie-Bäcklund algebras. Zbl 0462.35049
Ibragimov, N. Kh.; Shabat, A. B.
13
1981
Inverse-scattering problem for a system of differential equations. Zbl 0352.34020
Shabat, A. B.
13
1976
Model equation of the theory of solitons. Zbl 1138.37044
Adler, V. È.; Shabat, A. B.
11
2007
Higher symmetries of two-dimensional lattices. Zbl 1020.37585
Shabat, A. B.
11
1995
Construction of reflectionless potentials with infinite discrete spectrum. Zbl 0857.34073
Degasperis, A.; Shabat, A.
11
1994
Generalized Legendre transformations. Zbl 0978.37504
Adler, V. E.; Shabat, A. B.
10
1997
On a class of Toda chains. Zbl 0978.37502
Adler, V. E.; Shabat, A. B.
10
1997
On the Korteweg-de Vries equation. Zbl 0289.35069
Shabat, A. B.
10
1973
Lagrangian chains and canonical Bäcklund transformations. Zbl 1029.37042
Adler, V. E.; Marikhin, V. G.; Shabat, A. B.
9
2001
Symmetries – Test of integrability. Zbl 0821.35117
Shabat, A. B.; Mikhailov, A. V.
9
1993
The Korteweg-de Vries equation from the point of view of transformation groups. Zbl 0423.35076
Ibragimov, N. Kh.; Shabat, A. B.
9
1979
Equations of Liouville type. Zbl 0455.35007
Zhiber, A. V.; Ibragimov, N. Kh.; Shabat, A. B.
8
1979
Internal symmetry group and integrability conditions for two-dimensional dynamical systems. Zbl 0504.35023
Leznov, A. N.; Smirnov, V. G.; Shabat, A. B.
7
1982
(L,A)-pairs and a Riccati type substitution. Zbl 0494.35025
Sokolov, V. V.; Shabat, A. B.
7
1980
On infinite Lie-Bäcklund algebras. Zbl 0452.35053
Ibragimov, N. Kh.; Shabat, A. B.
7
1980
Third version of the dressing method. Zbl 0987.35133
Shabat, A. B.
6
1999
Systems of equations \(u_ x=p(u,v)\), \(v_ y=q(u,v)\) having symmetries. Zbl 0599.35023
Zhiber, A. V.; Shabat, A. B.
6
1984
Rational interpolation and solitons. Zbl 1329.34041
Shabat, A. B.
5
2014
Toward a theory of integrable hyperbolic equations of third order. Zbl 1297.37030
Adler, V. E.; Shabat, A. B.
5
2012
Integrable lattices. Zbl 0984.37093
Marikhin, V. G.; Shabat, A. B.
5
1999
Boundary value problem for the KdV equation on a half-line. Zbl 0916.35100
Adler, V. E.; Habibullin, I. T.; Shabat, A. B.
5
1997
Symmetric polynomials and conservation laws. Zbl 1326.37039
Shabat, A. B.
4
2012
Integrability conditions for systems of two equations of the form \(u_ t=A(u)u_{xx}+F(u,u_ x)\). I. Zbl 0592.35087
Mikhaĭlov, A. V.; Shabat, A. B.
4
1985
An inverse scattering problem. Zbl 0451.34022
Shabat, A. B.
4
1980
Darboux system: Liouville reduction and an explicit solution. Zbl 1439.35401
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
3
2018
Scattering theory for delta-type potentials. Zbl 1317.37086
Shabat, A. B.
3
2015
A new class of linearizable equations. Zbl 1076.37524
Hernández Heredero, R.; Shabat, A.; Sokolov, V.
3
2003
Factorization and Poisson correspondences. Zbl 0865.58029
Fordy, A. P.; Shabat, A. B.; Veselov, A. P.
3
1995
On extending the module of invertible transformations. Zbl 0674.35072
Mikhajlov, A. V.; Shabat, A. B.; Yamilov, R. I.
3
1987
Conditions for gap series in perturbation theory. Zbl 0569.35065
Leznov, A. N.; Shabat, A. B.
3
1982
One-dimensional scattering theory. I. Zbl 0229.35059
Shabat, A. B.
3
1972
Commuting differential operators. Zbl 1245.13018
Shabat, A. B.; Elkanova, Z. S.
2
2010
Symmetries of spectral problems. Zbl 1155.35442
Shabat, A.
2
2009
On the one class of hyperbolic systems. Zbl 1138.35360
Adler, Vsevolod E.; Shabat, Alexey B.
2
2006
Universal solitonic hierarchy. Zbl 1362.35083
Shabat, Alexei
2
2005
Universal models of soliton hierarchies. Zbl 1178.37091
Shabat, A. B.
2
2003
Construction of higher local \((2+1)\)-dimensional exponential lattice equations. Zbl 0991.37541
Levi, D.; Ragnisco, O.; Shabat, A. B.
2
1994
Integrability conditions for systems of two equations of the form \(u_ t=A(u)u_{xx}+F(u,u_ x)\). II. Zbl 0606.35042
Mikhajlov, A. V.; Shabat, A. B.
2
1986
Two problems in splicing solutions of Dirichlet’s problem. Zbl 0139.20402
Shabat, A. B.
2
1963
Randwertaufgaben mit einem kleinen Parameter für gewöhnliche lineare Differentialgleichungen. Zbl 0106.29303
Shabat, A. B.
2
1962
Darboux system as three-dimensional analog of Liouville equation. Zbl 1412.35211
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
1
2018
On applications of Faà-di-Bruno formula. Zbl 07278503
Shabat, Alekseĭ Borisovich; Èfendiev, Magomed Khochalaevich
1
2017
Functional Cantor equation. Zbl 1358.81155
Shabat, A. B.
1
2016
Difference Schrödinger equation and quasisymmetric polynomials. Zbl 1329.81176
Shabat, A. B.
1
2015
Two-sided Darboux transformations. Zbl 1282.13048
Shabat, A. B.; Élkanova, Z. S.; Urusova, A. B.
1
2012
Differential operators commuting in the principal part. Zbl 1276.13019
Gabiev, R. A.; Shabat, A. B.
1
2012
The structure of polynomial conservation laws. Zbl 1188.37054
Garifullin, R. N.; Shabat, A. B.
1
2009
A nonlinear eigenvalue problem. Zbl 1155.81372
Chankaev, M. Kh.; Shabat, A. B.
1
2008
Dressing chain for the acoustic spectral problem. Zbl 1177.37063
Adler, V. E.; Shabat, A. B.
1
2006
Elementary Darboux transformations and factorization. Zbl 1178.37085
Musso, F.; Shabat, A. B.
1
2005
Dressing chains and lattices. Zbl 0965.35163
Shabat, A.
1
2000
First integrals of generalized Toda chains. Zbl 0981.37029
Adler, V. È.; Shabat, A. B.
1
1998
Construction of reflectionless potentials with infinitely many discrete eigenvalues. Zbl 0787.35076
Degasperis, A.; Shabat, A.
1
1993
Computer algebra application for investigating integrability of nonlinear evolution systems. Zbl 1209.68676
Gerdt, V. P.; Shabat, A. B.; Svinolupov, S. I.; Zharkov, A. Yu.
1
1989
One-dimensional perturbations of a differential operator and the inverse scattering problem. Zbl 0569.34026
Shabat, A. B.
1
1985
Darboux system: Liouville reduction and an explicit solution. Zbl 1439.35401
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
3
2018
Darboux system as three-dimensional analog of Liouville equation. Zbl 1412.35211
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
1
2018
On applications of Faà-di-Bruno formula. Zbl 07278503
Shabat, Alekseĭ Borisovich; Èfendiev, Magomed Khochalaevich
1
2017
Functional Cantor equation. Zbl 1358.81155
Shabat, A. B.
1
2016
Scattering theory for delta-type potentials. Zbl 1317.37086
Shabat, A. B.
3
2015
Difference Schrödinger equation and quasisymmetric polynomials. Zbl 1329.81176
Shabat, A. B.
1
2015
Rational interpolation and solitons. Zbl 1329.34041
Shabat, A. B.
5
2014
Characteristic Lie rings and integrable models in mathematical physics. Zbl 1299.35020
Zhiber, A. V.; Murtazina, R. D.; Habibullin, I. T.; Shabat, A. B.
15
2012
Toward a theory of integrable hyperbolic equations of third order. Zbl 1297.37030
Adler, V. E.; Shabat, A. B.
5
2012
Symmetric polynomials and conservation laws. Zbl 1326.37039
Shabat, A. B.
4
2012
Two-sided Darboux transformations. Zbl 1282.13048
Shabat, A. B.; Élkanova, Z. S.; Urusova, A. B.
1
2012
Differential operators commuting in the principal part. Zbl 1276.13019
Gabiev, R. A.; Shabat, A. B.
1
2012
Commuting differential operators. Zbl 1245.13018
Shabat, A. B.; Elkanova, Z. S.
2
2010
Symmetries of spectral problems. Zbl 1155.35442
Shabat, A.
2
2009
The structure of polynomial conservation laws. Zbl 1188.37054
Garifullin, R. N.; Shabat, A. B.
1
2009
A nonlinear eigenvalue problem. Zbl 1155.81372
Chankaev, M. Kh.; Shabat, A. B.
1
2008
Model equation of the theory of solitons. Zbl 1138.37044
Adler, V. È.; Shabat, A. B.
11
2007
On the one class of hyperbolic systems. Zbl 1138.35360
Adler, Vsevolod E.; Shabat, Alexey B.
2
2006
Dressing chain for the acoustic spectral problem. Zbl 1177.37063
Adler, V. E.; Shabat, A. B.
1
2006
Universal solitonic hierarchy. Zbl 1362.35083
Shabat, Alexei
2
2005
Elementary Darboux transformations and factorization. Zbl 1178.37085
Musso, F.; Shabat, A. B.
1
2005
Hydrodynamic reductions and solutions of a universal hierarchy. Zbl 1178.37067
Alonso, L. Martínez; Shabat, A. B.
33
2004
On the prolongation of a hierarchy of hydrodynamic chains. Zbl 1061.35099
Shabat, A. B.; Martínez Alonso, L.
20
2004
Towards a theory of differential constraints of a hydrodynamic hierarchy. Zbl 1055.35092
Martínez Alonso, L.; Shabat, A. B.
16
2003
A new class of linearizable equations. Zbl 1076.37524
Hernández Heredero, R.; Shabat, A.; Sokolov, V.
3
2003
Universal models of soliton hierarchies. Zbl 1178.37091
Shabat, A. B.
2
2003
Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type. Zbl 0997.37045
Martínez Alonso, L.; Shabat, A. B.
13
2002
Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type. Zbl 0996.37072
Martínez Alonso, L.; Shabat, A. B.
13
2002
Lagrangian chains and canonical Bäcklund transformations. Zbl 1029.37042
Adler, V. E.; Marikhin, V. G.; Shabat, A. B.
9
2001
Symmetry approach to the integrability problem. Zbl 1029.37041
Adler, V. E.; Shabat, A. B.; Yamilov, R. I.
41
2000
Dressing chains and lattices. Zbl 0965.35163
Shabat, A.
1
2000
Third version of the dressing method. Zbl 0987.35133
Shabat, A. B.
6
1999
Integrable lattices. Zbl 0984.37093
Marikhin, V. G.; Shabat, A. B.
5
1999
First integrals of generalized Toda chains. Zbl 0981.37029
Adler, V. È.; Shabat, A. B.
1
1998
To a transformation theory of two-dimensional integrable systems. Zbl 0962.37509
Shabat, A. B.; Yamilov, R. I.
30
1997
Generalized Legendre transformations. Zbl 0978.37504
Adler, V. E.; Shabat, A. B.
10
1997
On a class of Toda chains. Zbl 0978.37502
Adler, V. E.; Shabat, A. B.
10
1997
Boundary value problem for the KdV equation on a half-line. Zbl 0916.35100
Adler, V. E.; Habibullin, I. T.; Shabat, A. B.
5
1997
On the theory of Laplace-Darboux transformations. Zbl 0855.35004
Shabat, A. B.
13
1995
Higher symmetries of two-dimensional lattices. Zbl 1020.37585
Shabat, A. B.
11
1995
Factorization and Poisson correspondences. Zbl 0865.58029
Fordy, A. P.; Shabat, A. B.; Veselov, A. P.
3
1995
Construction of reflectionless potentials with infinite discrete spectrum. Zbl 0857.34073
Degasperis, A.; Shabat, A.
11
1994
Construction of higher local \((2+1)\)-dimensional exponential lattice equations. Zbl 0991.37541
Levi, D.; Ragnisco, O.; Shabat, A. B.
2
1994
Dressing chains and the spectral theory of the Schrödinger operator. Zbl 0813.35099
Veselov, A. P.; Shabat, A. B.
85
1993
Symmetries – Test of integrability. Zbl 0821.35117
Shabat, A. B.; Mikhailov, A. V.
9
1993
Construction of reflectionless potentials with infinitely many discrete eigenvalues. Zbl 0787.35076
Degasperis, A.; Shabat, A.
1
1993
The infinite-dimensional dressing dynamical system. Zbl 0762.35098
Shabat, A.
41
1992
The symmetry approach to classification of integrable equations. Zbl 0741.35070
Mikhailov, A. V.; Shabat, A. B.; Sokolov, V. V.
111
1991
Symmetries of nonlinear chains. Zbl 0722.35006
Shabat, A. B.; Yamilov, R. I.
26
1991
Computer algebra application for investigating integrability of nonlinear evolution systems. Zbl 1209.68676
Gerdt, V. P.; Shabat, A. B.; Svinolupov, S. I.; Zharkov, A. Yu.
1
1989
Extension of the module of invertible transformations. Classification of integrable systems. Zbl 0659.35091
Mikhajlov, A. V.; Shabat, A. B.; Yamilov, R. I.
26
1988
The symmetry approach to the classification of nonlinear equations. Complete lists of integrable systems. Zbl 0646.35010
Mikhajlov, A. V.; Shabat, A. B.; Yamilov, R. I.
68
1987
On extending the module of invertible transformations. Zbl 0674.35072
Mikhajlov, A. V.; Shabat, A. B.; Yamilov, R. I.
3
1987
Integrability conditions for systems of two equations of the form \(u_ t=A(u)u_{xx}+F(u,u_ x)\). II. Zbl 0606.35042
Mikhajlov, A. V.; Shabat, A. B.
2
1986
Integrability conditions for systems of two equations of the form \(u_ t=A(u)u_{xx}+F(u,u_ x)\). I. Zbl 0592.35087
Mikhaĭlov, A. V.; Shabat, A. B.
4
1985
One-dimensional perturbations of a differential operator and the inverse scattering problem. Zbl 0569.34026
Shabat, A. B.
1
1985
Classification of integrable evolution equations. Zbl 0554.35107
Sokolov, V. V.; Shabat, A. B.
25
1984
Systems of equations \(u_ x=p(u,v)\), \(v_ y=q(u,v)\) having symmetries. Zbl 0599.35023
Zhiber, A. V.; Shabat, A. B.
6
1984
The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems. Zbl 0547.35024
Leznov, A. N.; Smirnov, V. G.; Shabat, A. B.
19
1982
Internal symmetry group and integrability conditions for two-dimensional dynamical systems. Zbl 0504.35023
Leznov, A. N.; Smirnov, V. G.; Shabat, A. B.
7
1982
Conditions for gap series in perturbation theory. Zbl 0569.35065
Leznov, A. N.; Shabat, A. B.
3
1982
Infinte Lie-Bäcklund algebras. Zbl 0462.35049
Ibragimov, N. Kh.; Shabat, A. B.
13
1981
Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II. Zbl 0448.35090
Zakharov, V. E.; Shabat, A. B.
146
1980
Evolutionary equations with nontrivial Lie-Bäcklund group. Zbl 0473.35007
Ibragimov, N. Kh.; Shabat, A. B.
23
1980
(L,A)-pairs and a Riccati type substitution. Zbl 0494.35025
Sokolov, V. V.; Shabat, A. B.
7
1980
On infinite Lie-Bäcklund algebras. Zbl 0452.35053
Ibragimov, N. Kh.; Shabat, A. B.
7
1980
An inverse scattering problem. Zbl 0451.34022
Shabat, A. B.
4
1980
The Korteweg-de Vries equation from the point of view of transformation groups. Zbl 0423.35076
Ibragimov, N. Kh.; Shabat, A. B.
9
1979
Equations of Liouville type. Zbl 0455.35007
Zhiber, A. V.; Ibragimov, N. Kh.; Shabat, A. B.
8
1979
Inverse-scattering problem for a system of differential equations. Zbl 0352.34020
Shabat, A. B.
13
1976
A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I. Zbl 0303.35024
Zakharov, V. E.; Shabat, A. B.
240
1974
On the Korteweg-de Vries equation. Zbl 0289.35069
Shabat, A. B.
10
1973
One-dimensional scattering theory. I. Zbl 0229.35059
Shabat, A. B.
3
1972
Two problems in splicing solutions of Dirichlet’s problem. Zbl 0139.20402
Shabat, A. B.
2
1963
Randwertaufgaben mit einem kleinen Parameter für gewöhnliche lineare Differentialgleichungen. Zbl 0106.29303
Shabat, A. B.
2
1962
all top 5

Cited by 877 Authors

38 Shabat, Alekseĭ Borisovich
24 Khabibullin, Ismagil Talgatovich
21 Adler, Vsevolod Eduardovich
16 Morozov, Oleg I.
16 Sokolov, Vladimir Vyacheslavovich
13 Mikhailov, Alexandre V.
12 Ferapontov, Evgeny Vladimirovich
12 Sergyeyev, Artur
11 Ablowitz, Mark Jay
11 Pogrebkov, Andrei K.
11 Wang, Jingping
11 Zenchuk, Alexandre I.
10 Meshkov, Anatoly G.
10 Prykarpatsky, Anatoliy Karolevych
9 Euler, Norbert
9 Fokas, Athanassios S.
9 Krichever, Igor’ Moiseevich
9 Prykarpatsky, Yarema Anatoliyovych
8 Boiti, Marco
8 Boutet de Monvel, Anne Marie
8 Euler, Marianna
8 Fordy, Allan P.
8 Geng, Xianguo
8 Grinevich, Pëtr Georgievich
8 Khusnutdinova, Karima Robertovna
8 Pempinelli, Flora
8 Santini, Paolo Maria
8 Yamilov, Ravil Islamovich
7 Fan, Engui
7 Krasil’shchik, Iosif Semënovich
7 Orlov, Aleksandr Yu.
7 Reyes, Enrique G.
7 Sahadevan, Ramajayam
7 Zakharov, Vladimir Evgen’evich
7 Zheltukhina, Natalya A.
6 Baran, Hynek
6 Blackmore, Denis L.
6 Błaszak, Maciej
6 Bogdanov, Leonid Vital’evich
6 Clarkson, Peter A.
6 Hone, Andrew N. W.
6 Khakimova, Aĭgul’ Rinatovna
6 Kiselev, Arthemy V.
6 Konopelchenko, Boris Georgievich
6 Marikhin, Vladimir G.
6 Novikov, Vladimir S.
6 Novokshenov, Viktor Yur’evich
6 Vojčák, Petr
5 Abenda, Simonetta
5 Balakhnev, M. Yu.
5 Foursov, Mikhail V.
5 Garifullin, Rustem Nailevich
5 Gerdzhikov, Vladimir Stefanov
5 Guo, Boling
5 Harnad, John
5 Hereman, Willy A.
5 Hernández Heredero, Rafael
5 Ivanov, Rossen I.
5 Kappeler, Thomas
5 Khalique, Chaudry Masood
5 Liu, Yue
5 Prinari, Barbara
5 Sakhnovich, Alexander L.
5 Segur, Harvey
5 Shepelsky, Dmitry
5 Svinolupov, S. I.
5 van der Kamp, Peter H.
5 Xenitidis, Pavlos
5 Zharinov, Victor Victorovich
5 Zheltukhin, Kostyantyn
5 Zhu, Junyi
4 Anco, Stephen C.
4 Calogero, Francesco A.
4 Dorfmeister, Josef F.
4 Grahovski, Georgi G.
4 He, Jingsong
4 Ibragimov, Nail Hairullovich
4 Levi, Decio
4 Millionshchikov, Dmitriĭ Vladimirovich
4 Pavlov, Maxim V.
4 Pelinovsky, Dmitry Efimovich
4 Sanders, Jan A.
4 Shemyakova, Ekaterina
4 Smirnov, Sergei Valer’evich
4 Spiridonov, Vyacheslav Pavlovich
4 Suris, Yuri Borisovich
4 Tian, Shoufu
4 Topalov, Peter J.
4 Veselov, Alexander Petrovich
3 Adem, Abdullahi Rashid
3 Bluman, George W.
3 Chau, Linglie
3 Del Amor, José
3 Demskoi, Dmitry K.
3 Dubrovin, Boris Anatol’evich
3 Dubrovsky, V. G.
3 Evripidou, Charalampos A.
3 Gangopadhyaya, Asim
3 Gerdt, Vladimir P.
3 Gesztesy, Fritz
...and 777 more Authors
all top 5

Cited in 153 Serials

146 Journal of Mathematical Physics
132 Theoretical and Mathematical Physics
46 Journal of Nonlinear Mathematical Physics
35 Journal of Geometry and Physics
32 Communications in Mathematical Physics
24 Journal of Mathematical Analysis and Applications
24 Functional Analysis and its Applications
22 Physica D
15 Studies in Applied Mathematics
14 Physics Letters. A
13 Letters in Mathematical Physics
13 Journal of Physics A: Mathematical and Theoretical
12 Chaos, Solitons and Fractals
11 Journal of Soviet Mathematics
11 Acta Applicandae Mathematicae
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Applied Mathematics and Computation
10 Journal of Differential Equations
10 Journal of Mathematical Sciences (New York)
10 Ufimskiĭ Matematicheskiĭ Zhurnal
8 Mathematical Notes
7 Nuclear Physics. B
7 Duke Mathematical Journal
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Reports on Mathematical Physics
5 Nonlinearity
5 Ukrainian Mathematical Journal
5 Communications in Nonlinear Science and Numerical Simulation
5 Symmetry
4 Applicable Analysis
4 Journal of Applied Mathematics and Mechanics
4 Wave Motion
4 Journal of Functional Analysis
4 Mathematics and Computers in Simulation
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Journal of Symbolic Computation
4 Applied Mathematics Letters
4 International Journal of Mathematics
4 Journal of Nonlinear Science
4 Regular and Chaotic Dynamics
4 Nonlinear Analysis. Real World Applications
4 International Journal of Geometric Methods in Modern Physics
3 International Journal of Modern Physics A
3 Computer Physics Communications
3 Journal of Fluid Mechanics
3 Russian Mathematical Surveys
3 Reviews in Mathematical Physics
3 Advances in Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Mathematische Nachrichten
3 Mathematische Zeitschrift
3 Differential Geometry and its Applications
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Nonlinear Dynamics
3 Lobachevskii Journal of Mathematics
3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
3 Advances in Difference Equations
3 Proceedings of the Steklov Institute of Mathematics
3 Advances in Mathematical Physics
2 Computers & Mathematics with Applications
2 Communications on Pure and Applied Mathematics
2 Bulletin of the London Mathematical Society
2 Journal of Computational and Applied Mathematics
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Siberian Mathematical Journal
2 Ergodic Theory and Dynamical Systems
2 Applied Numerical Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 SIAM Journal on Mathematical Analysis
2 Journal of Dynamics and Differential Equations
2 St. Petersburg Mathematical Journal
2 Bulletin des Sciences Mathématiques
2 Abstract and Applied Analysis
2 Mathematical Physics, Analysis and Geometry
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of High Energy Physics
2 Foundations of Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Frontiers of Mathematics in China
2 Communications in Theoretical Physics
2 Japanese Journal of Mathematics. 3rd Series
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Modern Physics Letters B
1 International Journal of Modern Physics B
1 Computers and Fluids
1 International Journal of Theoretical Physics
1 Journal d’Analyse Mathématique
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annales de l’Institut Fourier
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Kodai Mathematical Journal
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
...and 53 more Serials
all top 5

Cited in 45 Fields

581 Partial differential equations (35-XX)
496 Dynamical systems and ergodic theory (37-XX)
105 Ordinary differential equations (34-XX)
103 Quantum theory (81-XX)
87 Global analysis, analysis on manifolds (58-XX)
58 Difference and functional equations (39-XX)
57 Nonassociative rings and algebras (17-XX)
46 Differential geometry (53-XX)
39 Fluid mechanics (76-XX)
33 Mechanics of particles and systems (70-XX)
29 Algebraic geometry (14-XX)
27 Special functions (33-XX)
27 Operator theory (47-XX)
20 Numerical analysis (65-XX)
19 Topological groups, Lie groups (22-XX)
13 Functions of a complex variable (30-XX)
12 Computer science (68-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Optics, electromagnetic theory (78-XX)
9 Relativity and gravitational theory (83-XX)
5 Commutative algebra (13-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Mechanics of deformable solids (74-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Integral equations (45-XX)
4 Functional analysis (46-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Approximations and expansions (41-XX)
3 Integral transforms, operational calculus (44-XX)
3 Algebraic topology (55-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 Real functions (26-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Manifolds and cell complexes (57-XX)
2 Probability theory and stochastic processes (60-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Geometry (51-XX)
1 Geophysics (86-XX)

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