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Dickey, Leonid A.

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Author ID: dickey.leonid-a Recent zbMATH articles by "Dickey, Leonid A."
Published as: Dickey, L. A.; Dikij, L. A.; Dikii, L. A.; Dickey, Leonid A.; Dikiĭ, L. A.; Dickey, Leonid
External Links: MGP · Math-Net.Ru
Documents Indexed: 62 Publications since 1953, including 2 Books

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 745 times in 602 Documents Cited by Year
Soliton equations and Hamiltonian systems. Zbl 0753.35075
Dickey, L. A.
175
1991
Soliton equations and Hamiltonian systems. 2nd ed. Zbl 1140.35012
Dickey, L. A.
119
2003
Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations. Zbl 0334.58007
Gel’fand, I. M.; Dikii, L. A.
113
1975
Fractional powers of operators and Hamiltonian systems. Zbl 0356.35072
Gel’fand, I. M.; Dikii, L. A.
55
1977
On additional symmetries of the KP hierarchy and Sato’s Bäcklund transformation. Zbl 0813.35106
Dickey, L. A.
27
1995
A Lie algebra structure in a formal variational calculation. Zbl 0347.49023
Gel’fand, I. M.; Dikii, L. A.
26
1976
Lectures on classical \(W\)-algebras. Zbl 0882.58024
Dickey, L. A.
24
1997
The resolvent and Hamiltonian systems. Zbl 0412.58018
Gel’fand, I. M.; Dikij, L. A.
23
1977
Fractional powers of operators and Hamiltonian systems. Zbl 0346.35085
Gel’fand, I. M.; Dikiĭ, L. A.
19
1976
Additional symmetries of KP, Grassmannian, and the string equation. Zbl 1020.37555
Dickey, L. A.
17
1993
Modified KP and discrete KP. Zbl 0949.37050
Dickey, L. A.
15
1999
On the constrained KP hierarchy. II. Zbl 0839.35127
Dickey, L. A.
13
1995
Additional symmetries of KP, Grassmannian, and the string equation. II. Zbl 1020.37556
Dickey, L. A.
10
1993
On the \(\tau\)-function of matrix hierarchies of integrable equations. Zbl 0737.35097
Dickey, L. A.
9
1991
The calculus of jets and nonlinear Hamiltonian systems. Zbl 0405.58027
Gel’fand, I. M.; Dikij, L. A.
9
1978
Integrable nonlinear equations and the Liouville theorem. Zbl 0436.34002
Gel’fand, I. M.; Dikii, L. A.
9
1979
Trace formulas for Sturm-Liouville differential operators. Zbl 0098.28701
Dikij, L. A.
8
1961
A short proof of a Kupershmidt-Wilson theorem. Zbl 0523.35091
Dickey, L. A.
8
1982
Integrable nonlinear equations and Liouville’s theorem. I. Zbl 0504.34001
Dickey, L. A.
8
1981
On the constrained KP hierarchy. Zbl 0839.35126
Dickey, L. A.
6
1995
Hamiltonian systems connected with the rotation group. Zbl 0288.58004
Dikii, L. A.
6
1973
On Hamiltonian and Lagrangian formalisms for the KP-hierarchy of integrable equations. Zbl 0723.35076
Dickey, L. A.
4
1987
General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion. Zbl 0737.35120
Dickey, L. A.
4
1990
On exactness of the variational bicomplex. Zbl 0771.58043
Dickey, L. A.
4
1992
On Segal-Wilson’s definition of the \(\tau\)-function and hierarchies AKNS- D and mcKP. Zbl 0834.58023
Dickey, L. A.
4
1993
Poisson brackets with divergence terms in field theories: Three examples. Zbl 0988.37099
Dickey, L. A.
3
1999
On \(\tau\)-functions of Zakharov-Shabat and other matrix hierarchies of integrable equations. Zbl 0866.35102
Dickey, L. A.
3
1997
On a generalization of the Trèves criterion for the first integrals of the KdV hierarchy to higher GD hierarchies. Zbl 1042.37050
Dickey, L. A.
3
2003
On the nonlinear theory of hydrodynamic stability. Zbl 0209.29104
Dikij, L. A.
3
1966
Hamiltonian structures and Lax equations generated by matrix differential operators with polynomial dependence on a parameter. Zbl 0547.35017
Dickey, L. A.
3
1983
Additional symmetries of the Zakharov-Shabat hierarchy, string equation and isomonodromy. Zbl 0901.35097
Dickey, L. A.
2
1998
On the stability of plane-parallel Couette flow. Zbl 0142.44301
Dikij, L. A.
2
1964
Why the general Zakharov-Shabat equations form a hierarchy. Zbl 0803.35125
Dickey, L. A.
2
1994
Chains of KP, semi-infinite 1-Toda lattice hierarchy and Kontsevich integral. Zbl 0997.35070
Dickey, L. A.
1
2001
A new method for an approximate computation of eigenvalues in the Sturm- Liouville’s problem. Zbl 0091.29203
Dikij, L. A.
1
1957
On the stability of plane parallel flows of an inhomogeneous fluid. Zbl 0100.23201
Dikij, L. A.
1
1960
The stability of plane-parallel flows of an ideal fluid. Zbl 0098.40802
Dikij, L. A.
1
1960
Another example of a \(\tau\)-function. Zbl 0737.35096
Dickey, L. A.
1
1990
Field theoretical (multi-time) Hamiltonian formalism and its application to integrable systems. Zbl 0749.58024
Dickey, L. A.
1
1990
Note on the stability of three-dimensional flows of an ideal fluid. Zbl 0279.76026
Bogdat’eva, N. N.; Dikii, L. A.
1
1973
Symplectic structure, Lagrangian, and involutiveness of first integrals of the principal chiral field equation. Zbl 0543.35090
Dickey, L. A.
1
1983
Erratum: General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion. Zbl 0768.35072
Dickey, L. A.
1
1992
Soliton equations and Hamiltonian systems. 2nd ed. Zbl 1140.35012
Dickey, L. A.
119
2003
On a generalization of the Trèves criterion for the first integrals of the KdV hierarchy to higher GD hierarchies. Zbl 1042.37050
Dickey, L. A.
3
2003
Chains of KP, semi-infinite 1-Toda lattice hierarchy and Kontsevich integral. Zbl 0997.35070
Dickey, L. A.
1
2001
Modified KP and discrete KP. Zbl 0949.37050
Dickey, L. A.
15
1999
Poisson brackets with divergence terms in field theories: Three examples. Zbl 0988.37099
Dickey, L. A.
3
1999
Additional symmetries of the Zakharov-Shabat hierarchy, string equation and isomonodromy. Zbl 0901.35097
Dickey, L. A.
2
1998
Lectures on classical \(W\)-algebras. Zbl 0882.58024
Dickey, L. A.
24
1997
On \(\tau\)-functions of Zakharov-Shabat and other matrix hierarchies of integrable equations. Zbl 0866.35102
Dickey, L. A.
3
1997
On additional symmetries of the KP hierarchy and Sato’s Bäcklund transformation. Zbl 0813.35106
Dickey, L. A.
27
1995
On the constrained KP hierarchy. II. Zbl 0839.35127
Dickey, L. A.
13
1995
On the constrained KP hierarchy. Zbl 0839.35126
Dickey, L. A.
6
1995
Why the general Zakharov-Shabat equations form a hierarchy. Zbl 0803.35125
Dickey, L. A.
2
1994
Additional symmetries of KP, Grassmannian, and the string equation. Zbl 1020.37555
Dickey, L. A.
17
1993
Additional symmetries of KP, Grassmannian, and the string equation. II. Zbl 1020.37556
Dickey, L. A.
10
1993
On Segal-Wilson’s definition of the \(\tau\)-function and hierarchies AKNS- D and mcKP. Zbl 0834.58023
Dickey, L. A.
4
1993
On exactness of the variational bicomplex. Zbl 0771.58043
Dickey, L. A.
4
1992
Erratum: General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion. Zbl 0768.35072
Dickey, L. A.
1
1992
Soliton equations and Hamiltonian systems. Zbl 0753.35075
Dickey, L. A.
175
1991
On the \(\tau\)-function of matrix hierarchies of integrable equations. Zbl 0737.35097
Dickey, L. A.
9
1991
General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion. Zbl 0737.35120
Dickey, L. A.
4
1990
Another example of a \(\tau\)-function. Zbl 0737.35096
Dickey, L. A.
1
1990
Field theoretical (multi-time) Hamiltonian formalism and its application to integrable systems. Zbl 0749.58024
Dickey, L. A.
1
1990
On Hamiltonian and Lagrangian formalisms for the KP-hierarchy of integrable equations. Zbl 0723.35076
Dickey, L. A.
4
1987
Hamiltonian structures and Lax equations generated by matrix differential operators with polynomial dependence on a parameter. Zbl 0547.35017
Dickey, L. A.
3
1983
Symplectic structure, Lagrangian, and involutiveness of first integrals of the principal chiral field equation. Zbl 0543.35090
Dickey, L. A.
1
1983
A short proof of a Kupershmidt-Wilson theorem. Zbl 0523.35091
Dickey, L. A.
8
1982
Integrable nonlinear equations and Liouville’s theorem. I. Zbl 0504.34001
Dickey, L. A.
8
1981
Integrable nonlinear equations and the Liouville theorem. Zbl 0436.34002
Gel’fand, I. M.; Dikii, L. A.
9
1979
The calculus of jets and nonlinear Hamiltonian systems. Zbl 0405.58027
Gel’fand, I. M.; Dikij, L. A.
9
1978
Fractional powers of operators and Hamiltonian systems. Zbl 0356.35072
Gel’fand, I. M.; Dikii, L. A.
55
1977
The resolvent and Hamiltonian systems. Zbl 0412.58018
Gel’fand, I. M.; Dikij, L. A.
23
1977
A Lie algebra structure in a formal variational calculation. Zbl 0347.49023
Gel’fand, I. M.; Dikii, L. A.
26
1976
Fractional powers of operators and Hamiltonian systems. Zbl 0346.35085
Gel’fand, I. M.; Dikiĭ, L. A.
19
1976
Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations. Zbl 0334.58007
Gel’fand, I. M.; Dikii, L. A.
113
1975
Hamiltonian systems connected with the rotation group. Zbl 0288.58004
Dikii, L. A.
6
1973
Note on the stability of three-dimensional flows of an ideal fluid. Zbl 0279.76026
Bogdat’eva, N. N.; Dikii, L. A.
1
1973
On the nonlinear theory of hydrodynamic stability. Zbl 0209.29104
Dikij, L. A.
3
1966
On the stability of plane-parallel Couette flow. Zbl 0142.44301
Dikij, L. A.
2
1964
Trace formulas for Sturm-Liouville differential operators. Zbl 0098.28701
Dikij, L. A.
8
1961
On the stability of plane parallel flows of an inhomogeneous fluid. Zbl 0100.23201
Dikij, L. A.
1
1960
The stability of plane-parallel flows of an ideal fluid. Zbl 0098.40802
Dikij, L. A.
1
1960
A new method for an approximate computation of eigenvalues in the Sturm- Liouville’s problem. Zbl 0091.29203
Dikij, L. A.
1
1957
all top 5

Cited by 647 Authors

24 He, Jingsong
19 Cheng, Jipeng
14 Li, Chuanzhong
13 Gesztesy, Fritz
11 Dickey, Leonid A.
9 Adler, Mark
9 van Moerbeke, Pierre
8 Cheng, Yi
8 Kac, Victor G.
8 Tian, Kelei
8 Tu, Minghsien
8 Zeng, Yunbo
7 Buryak, Alexandr Y.
7 Chen, Jinbing
7 De Sole, Alberto
7 Olver, Peter John
7 van de Leur, Johan W.
7 Wang, Jingping
6 Galindo Tixaire, Alberto
6 Gerdzhikov, Vladimir Stefanov
6 Helminck, Gerardus Franciscus
6 Ma, Wen-Xiu
6 Oevel, Walter
6 Ramos, Eduardo
5 Aratyn, Henrik
5 Caudrelier, Vincent
5 Chen, Huizhan
5 Falqui, Gregorio
5 Geng, Lumin
5 Kupershmidt, Boris A.
5 Lin, Runliang
5 Magri, Franco
5 Morosi, Carlo
5 Popowicz, Ziemowit
5 Prykarpatsky, Anatoliy Karolevych
5 Reyes, Enrique G.
5 Sanders, Jan A.
5 Watanabe, Yoshihide
5 Xu, Xiaoping
5 Yang, Di
5 Yao, Yuqin
4 Blackmore, Denis L.
4 Dubrovin, Boris Anatol’evich
4 Figueroa-O’Farrill, José Miguel
4 Fokas, Athanassios S.
4 Konopelchenko, Boris Georgievich
4 Li, Maohua
4 Li, Na
4 Mañas, Manuel
4 Orlov, Aleksandr Yu.
4 Pedroni, Marco
4 Pizzocchero, Livio
4 Rossi, Paolo
4 Shiota, Takahiro
4 Valeri, Daniele
4 Zuo, Dafeng
3 Abellanas, Lorenzo
3 Abenda, Simonetta
3 Barcelos-Neto, J.
3 Barnich, Glenn
3 Bergvelt, Maarten J.
3 Cafasso, Mattia
3 Chakravarty, Sarbarish
3 Chen, Dengyuan
3 Domrin, Andrei Victorovich
3 Felipe, Raúl
3 Guha, Partha
3 Harnad, John
3 Horozov, Emil Ivanov
3 Huang, Wen-Jui
3 Huang, Yehui
3 Ji, Jie
3 Khesin, Boris A.
3 Kodama, Yuji
3 Labourie, François
3 Lee, Minho
3 Linshaw, Andrew Ross
3 Liu, Qiufang
3 Liu, ShaoWei
3 Liu, Siqi
3 McArthur, Ian N.
3 Meng, Daoji
3 Panasenko, Elena A.
3 Qiao, Zhijun
3 Sattinger, David H.
3 Strampp, Walter
3 Su, Yucai
3 Sun, Yepeng
3 Weikard, Rudi
3 Wu, Chaozhong
3 Zhang, Youjin
2 Adams, Malcolm R.
2 Adler, Vsevolod Eduardovich
2 Anderson, Ian M.
2 Ashok, Sujay K.
2 Avan, Jean
2 Bai, Chengming
2 Beals, Richard W.
2 Beltran, Jarnishs
2 Bertola, Marco
...and 547 more Authors
all top 5

Cited in 131 Serials

86 Journal of Mathematical Physics
58 Communications in Mathematical Physics
40 Letters in Mathematical Physics
32 Journal of Geometry and Physics
31 Theoretical and Mathematical Physics
27 Journal of Nonlinear Mathematical Physics
18 Physics Letters. A
18 Journal of High Energy Physics
15 Nuclear Physics. B
15 Physica D
8 Chaos, Solitons and Fractals
7 Physics Letters. B
7 Duke Mathematical Journal
6 Journal of Mathematical Analysis and Applications
6 Reports on Mathematical Physics
6 Journal of Differential Equations
6 Journal of Physics A: Mathematical and Theoretical
5 Applicable Analysis
5 Advances in Mathematics
5 Journal of Algebra
5 Acta Applicandae Mathematicae
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 International Journal of Modern Physics A
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Annales de l’Institut Fourier
4 Applied Mathematics and Computation
4 Journal of Pure and Applied Algebra
4 Studies in Applied Mathematics
4 Communications in Nonlinear Science and Numerical Simulation
4 Japanese Journal of Mathematics. 3rd Series
4 Advances in Mathematical Physics
3 Computer Physics Communications
3 Reviews in Mathematical Physics
3 Inventiones Mathematicae
3 Journal für die Reine und Angewandte Mathematik
3 Proceedings of the American Mathematical Society
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Transactions of the American Mathematical Society
3 Advances in Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Mathematical Physics, Analysis and Geometry
3 International Journal of Geometric Methods in Modern Physics
3 Science China. Mathematics
3 Analysis and Mathematical Physics
2 Journal of Applied Mathematics and Mechanics
2 Journal of Fluid Mechanics
2 Nonlinearity
2 Physica A
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Acta Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Functional Analysis and its Applications
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Mathematics and Computers in Simulation
2 Mathematische Nachrichten
2 Transactions of the Moscow Mathematical Society
2 Annals of Physics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Selecta Mathematica. New Series
2 Bulletin des Sciences Mathématiques
2 Nonlinear Dynamics
2 Geometry & Topology
2 Proceedings of the Steklov Institute of Mathematics
1 International Journal of Modern Physics B
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Geophysical and Astrophysical Fluid Dynamics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of the Franklin Institute
1 Physics of Fluids
1 Physics Reports
1 Ukrainian Mathematical Journal
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Arkiv för Matematik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Publications Mathématiques
1 Journal of Functional Analysis
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Symbolic Computation
1 Journal of Theoretical Probability
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 International Journal of Computer Mathematics
...and 31 more Serials
all top 5

Cited in 43 Fields

375 Dynamical systems and ergodic theory (37-XX)
326 Partial differential equations (35-XX)
115 Quantum theory (81-XX)
114 Nonassociative rings and algebras (17-XX)
57 Global analysis, analysis on manifolds (58-XX)
43 Algebraic geometry (14-XX)
39 Ordinary differential equations (34-XX)
26 Differential geometry (53-XX)
25 Mechanics of particles and systems (70-XX)
22 Operator theory (47-XX)
21 Relativity and gravitational theory (83-XX)
15 Fluid mechanics (76-XX)
11 Difference and functional equations (39-XX)
10 Functions of a complex variable (30-XX)
10 Special functions (33-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Associative rings and algebras (16-XX)
8 Topological groups, Lie groups (22-XX)
7 Functional analysis (46-XX)
7 Numerical analysis (65-XX)
6 Number theory (11-XX)
5 Combinatorics (05-XX)
5 Field theory and polynomials (12-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Computer science (68-XX)
4 Algebraic topology (55-XX)
4 Probability theory and stochastic processes (60-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Real functions (26-XX)
3 Mechanics of deformable solids (74-XX)
2 Integral equations (45-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
1 Mathematical logic and foundations (03-XX)
1 \(K\)-theory (19-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Systems theory; control (93-XX)

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