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Kaljakin, Leonid A.

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Author ID: kaljakin.leonid-a Recent zbMATH articles by "Kaljakin, Leonid A."
Published as: Kaljakin, L. A.; Kaljakin, Leonid A.; Kalyakin, L. A.; Kalyakin, Leonid; Kalyakin, Leonid A.
Documents Indexed: 115 Publications since 1969, including 3 Books
Reviewing Activity: 42 Reviews

Co-Authors

5 single-authored

Publications by Year

Citations contained in zbMATH

52 Publications have been cited 190 times in 110 Documents Cited by Year
Asymptotic decay of a one-dimensional wave-packet in a nonlinear dispersive medium. Zbl 0699.35135
Kalyakin, L. A.
24
1988
Asymptotic analysis of autoresonance models. Zbl 1159.70015
Kalyakin, L. A.
22
2008
Long wave asymptotics. Integrable equations as asymptotic limits of non- linear systems. Zbl 0683.35082
Kalyakin, L. A.
19
1989
Stability of autoresonance models. Zbl 1278.34059
Kalyakin, L. A.; Sultanov, O. A.
12
2013
Perturbation of the Korteweg-de Vries soliton. Zbl 0787.35095
Kalyakin, L. A.
8
1992
Long-wave asymptotics of the solution of a hyperbolic system of equations. Zbl 0566.35066
Kalyakin, L. A.
8
1984
Asymptotic decay of a one-dimensional wave packet in a nonlinear dispersing medium. Zbl 0658.35047
Kalyakin, L. A.
7
1987
Autoresonant asymptotics in an oscillating system with weak dissipation. Zbl 1205.70016
Kalyakin, L. A.; Shamsutdinov, M. A.
6
2009
Justification of asymptotic expansions for the principal resonance equations. Zbl 1129.34324
Kalyakin, L. A.
6
2003
Asymptotic behavior of solutions of equations of main resonance. Zbl 1178.34063
Kalyakin, L. A.
5
2003
Averaging in the autoresonance model. Zbl 1065.34037
Kalyakin, L. A.
5
2003
Asymptotic analysis of the model of gyromagnetic autoresonance. Zbl 1378.78011
Kalyakin, L. A.
4
2017
Averaging method for the problems on asymptotics at infinity. Zbl 1240.34226
Kalyakin, L. A.
4
2009
Asymptotic analysis of an autoresonance model. Zbl 1048.34087
Kalyakin, L. A.
4
2001
Stability of nondissipative systems under persistent random perturbations. Zbl 1264.34118
Kalyakin, L. A.
3
2012
Perturbation of the Korteweg-de Vries soliton. Zbl 0761.35097
Kalyakin, L. A.
3
1992
Synchronization in a nonisochronous nonautonomous system. Zbl 1325.34067
Kalyakin, L. A.
2
2014
Existence theorems and estimates of solutions for equations of principal resonance. Zbl 1314.34073
Kalyakin, L. A.
2
2014
Asymptotics at infinity of solutions of equations close to Hamiltonian equations. Zbl 1186.34069
Kalyakin, L. A.
2
2009
Justification of an asymptotic expansion at infinity. Zbl 1362.34090
Kalyakin, Leonid
2
2008
The asymptotic behavior of the solutionto the principal resonance at infinity. Zbl 1047.34007
Kalyakin, L. A.
2
2003
Asymptotic solution of the autoresonance problem. Zbl 1085.34032
Kalyakin, L. A.
2
2002
Asymptotic analysis of an autoresonance model. Zbl 1104.34317
Kalyakin, L. A.
2
2002
Liouville equation under perturbation. Zbl 0982.35089
Kalyakin, L. A.
2
2001
Perturbation of the two-soliton solution to the KdV equation. Zbl 0978.35501
Kalyakin, L. A.; Lazarev, V. A.
2
1997
Asymptotics of the first correction in the perturbation of the \(N\)-soliton solution of the KdV equation. Zbl 0849.35120
Kalyakin, L. A.
2
1995
Perturbation of finite-soliton solutions to the Korteweg-de Vries equation. Zbl 0890.35130
Il’in, A. M.; Kalyakin, L. A.
2
1994
The WKB method in a weakly linear problem with the local resonance. Zbl 0738.35091
Kalyakin, L. A.
2
1989
Local resonance in a weakly nonlinear problem. Zbl 0702.35226
Kalyakin, L. A.
2
1988
The asymptotic decomposition in simple waves of the solution of a perturbed hyperbolic system of equations. Zbl 0589.35075
Kalyakin, L. A.
2
1984
Analysis of a mathematical model for nuclear spins in an antiferromagnet. Zbl 1422.34149
Kalyakin, Leonid A.
1
2018
Elliptic perturbations of dynamical systems with a proper node. Zbl 1400.35018
Kalyakin, L. A.; Sultanov, O. A.; Tarkhanov, N.
1
2017
Stability of the autoresonance in a dissipative system. Zbl 1344.34065
Kalyakin, L. A.
1
2016
Lyapunov functions in barriers for parabolic equations and in stability problems with respect to “white noise”. Zbl 1330.35193
Kalyakin, L. A.
1
2014
Analysis of the Bloch equations for the nuclear magnetization model. Zbl 1288.82059
Kalyakin, L. A.
1
2013
Analysis of the synchronization model in an anisochronous system. Zbl 1224.70029
Kalyakin, L. A.
1
2010
Adiabatic approximations for Landau-Lifshitz equations. Zbl 1234.35036
Kalyakin, L. A.; Shamsutdinov, M. A.
1
2007
Breather resonant phase locking by an external perturbation. Zbl 1131.35384
Maslov, E. M.; Kalyakin, L. A.; Shagalov, A. G.
1
2007
Intermediate asymptotics for solutions to the degenerate principal resonance equations. Zbl 1210.34015
Kalyakin, L. A.
1
2006
Resonance capture in a nonlinear system. Zbl 1178.34062
Kalyakin, L. A.
1
2005
Asymptotic solution of the threshold phenomenon problem for the principal resonance equations. Zbl 1091.34536
Kalyakin, L. A.
1
2004
Autoresonance in a dynamic system. Zbl 1088.34052
Kalyakin, L. A.
1
2003
Arlen Mikhailovich Il’in. Zbl 1104.01309
Babich, V. M.; Kalyakin, L. A.; Ramazanov, M. D.; Rozov, N. Kh.
1
2002
Perturbation of a degenerate simple plane wave in the system of Navier-Stokes equations. Zbl 0982.76515
Kalyakin, L. A.
1
1998
Weak interaction of the KdV solitons under perturbation. Zbl 1194.35370
Kalyakin, L. A.
1
1995
On the problem of first correction in soliton perturbation theory. Zbl 0863.35092
Kalyakin, L. A.
1
1995
On the solvability of nonlinear equations of Schrödinger type in the class of rapidly oscillating functions. Zbl 0854.35108
Kalyakin, L. A.; Glebov, S. G.
1
1994
The asymptotics of a double Fourier-type integral occurring in the theory of soliton perturbations. Zbl 0829.35108
Kalyakin, L. A.
1
1993
Asymptotic transitions from discrete to continuous models. Zbl 0672.35068
Kalyakin, L. A.
1
1988
Long-wave asymptotics of the solution of a nonlinear system of equations with small dissipation. Zbl 0672.35009
Kalyakin, L. A.
1
1987
Long-wave asymptotics of solutions of nonlinear systems of equations with dispersion. Zbl 0629.35015
Kalyakin, L. A.
1
1986
The asymptotic behaviour of the solution of a hyperbolic system of equations with a nonlinear perturbation. Zbl 0568.35060
Kalyakin, L. A.
1
1984
Analysis of a mathematical model for nuclear spins in an antiferromagnet. Zbl 1422.34149
Kalyakin, Leonid A.
1
2018
Asymptotic analysis of the model of gyromagnetic autoresonance. Zbl 1378.78011
Kalyakin, L. A.
4
2017
Elliptic perturbations of dynamical systems with a proper node. Zbl 1400.35018
Kalyakin, L. A.; Sultanov, O. A.; Tarkhanov, N.
1
2017
Stability of the autoresonance in a dissipative system. Zbl 1344.34065
Kalyakin, L. A.
1
2016
Synchronization in a nonisochronous nonautonomous system. Zbl 1325.34067
Kalyakin, L. A.
2
2014
Existence theorems and estimates of solutions for equations of principal resonance. Zbl 1314.34073
Kalyakin, L. A.
2
2014
Lyapunov functions in barriers for parabolic equations and in stability problems with respect to “white noise”. Zbl 1330.35193
Kalyakin, L. A.
1
2014
Stability of autoresonance models. Zbl 1278.34059
Kalyakin, L. A.; Sultanov, O. A.
12
2013
Analysis of the Bloch equations for the nuclear magnetization model. Zbl 1288.82059
Kalyakin, L. A.
1
2013
Stability of nondissipative systems under persistent random perturbations. Zbl 1264.34118
Kalyakin, L. A.
3
2012
Analysis of the synchronization model in an anisochronous system. Zbl 1224.70029
Kalyakin, L. A.
1
2010
Autoresonant asymptotics in an oscillating system with weak dissipation. Zbl 1205.70016
Kalyakin, L. A.; Shamsutdinov, M. A.
6
2009
Averaging method for the problems on asymptotics at infinity. Zbl 1240.34226
Kalyakin, L. A.
4
2009
Asymptotics at infinity of solutions of equations close to Hamiltonian equations. Zbl 1186.34069
Kalyakin, L. A.
2
2009
Asymptotic analysis of autoresonance models. Zbl 1159.70015
Kalyakin, L. A.
22
2008
Justification of an asymptotic expansion at infinity. Zbl 1362.34090
Kalyakin, Leonid
2
2008
Adiabatic approximations for Landau-Lifshitz equations. Zbl 1234.35036
Kalyakin, L. A.; Shamsutdinov, M. A.
1
2007
Breather resonant phase locking by an external perturbation. Zbl 1131.35384
Maslov, E. M.; Kalyakin, L. A.; Shagalov, A. G.
1
2007
Intermediate asymptotics for solutions to the degenerate principal resonance equations. Zbl 1210.34015
Kalyakin, L. A.
1
2006
Resonance capture in a nonlinear system. Zbl 1178.34062
Kalyakin, L. A.
1
2005
Asymptotic solution of the threshold phenomenon problem for the principal resonance equations. Zbl 1091.34536
Kalyakin, L. A.
1
2004
Justification of asymptotic expansions for the principal resonance equations. Zbl 1129.34324
Kalyakin, L. A.
6
2003
Asymptotic behavior of solutions of equations of main resonance. Zbl 1178.34063
Kalyakin, L. A.
5
2003
Averaging in the autoresonance model. Zbl 1065.34037
Kalyakin, L. A.
5
2003
The asymptotic behavior of the solutionto the principal resonance at infinity. Zbl 1047.34007
Kalyakin, L. A.
2
2003
Autoresonance in a dynamic system. Zbl 1088.34052
Kalyakin, L. A.
1
2003
Asymptotic solution of the autoresonance problem. Zbl 1085.34032
Kalyakin, L. A.
2
2002
Asymptotic analysis of an autoresonance model. Zbl 1104.34317
Kalyakin, L. A.
2
2002
Arlen Mikhailovich Il’in. Zbl 1104.01309
Babich, V. M.; Kalyakin, L. A.; Ramazanov, M. D.; Rozov, N. Kh.
1
2002
Asymptotic analysis of an autoresonance model. Zbl 1048.34087
Kalyakin, L. A.
4
2001
Liouville equation under perturbation. Zbl 0982.35089
Kalyakin, L. A.
2
2001
Perturbation of a degenerate simple plane wave in the system of Navier-Stokes equations. Zbl 0982.76515
Kalyakin, L. A.
1
1998
Perturbation of the two-soliton solution to the KdV equation. Zbl 0978.35501
Kalyakin, L. A.; Lazarev, V. A.
2
1997
Asymptotics of the first correction in the perturbation of the \(N\)-soliton solution of the KdV equation. Zbl 0849.35120
Kalyakin, L. A.
2
1995
Weak interaction of the KdV solitons under perturbation. Zbl 1194.35370
Kalyakin, L. A.
1
1995
On the problem of first correction in soliton perturbation theory. Zbl 0863.35092
Kalyakin, L. A.
1
1995
Perturbation of finite-soliton solutions to the Korteweg-de Vries equation. Zbl 0890.35130
Il’in, A. M.; Kalyakin, L. A.
2
1994
On the solvability of nonlinear equations of Schrödinger type in the class of rapidly oscillating functions. Zbl 0854.35108
Kalyakin, L. A.; Glebov, S. G.
1
1994
The asymptotics of a double Fourier-type integral occurring in the theory of soliton perturbations. Zbl 0829.35108
Kalyakin, L. A.
1
1993
Perturbation of the Korteweg-de Vries soliton. Zbl 0787.35095
Kalyakin, L. A.
8
1992
Perturbation of the Korteweg-de Vries soliton. Zbl 0761.35097
Kalyakin, L. A.
3
1992
Long wave asymptotics. Integrable equations as asymptotic limits of non- linear systems. Zbl 0683.35082
Kalyakin, L. A.
19
1989
The WKB method in a weakly linear problem with the local resonance. Zbl 0738.35091
Kalyakin, L. A.
2
1989
Asymptotic decay of a one-dimensional wave-packet in a nonlinear dispersive medium. Zbl 0699.35135
Kalyakin, L. A.
24
1988
Local resonance in a weakly nonlinear problem. Zbl 0702.35226
Kalyakin, L. A.
2
1988
Asymptotic transitions from discrete to continuous models. Zbl 0672.35068
Kalyakin, L. A.
1
1988
Asymptotic decay of a one-dimensional wave packet in a nonlinear dispersing medium. Zbl 0658.35047
Kalyakin, L. A.
7
1987
Long-wave asymptotics of the solution of a nonlinear system of equations with small dissipation. Zbl 0672.35009
Kalyakin, L. A.
1
1987
Long-wave asymptotics of solutions of nonlinear systems of equations with dispersion. Zbl 0629.35015
Kalyakin, L. A.
1
1986
Long-wave asymptotics of the solution of a hyperbolic system of equations. Zbl 0566.35066
Kalyakin, L. A.
8
1984
The asymptotic decomposition in simple waves of the solution of a perturbed hyperbolic system of equations. Zbl 0589.35075
Kalyakin, L. A.
2
1984
The asymptotic behaviour of the solution of a hyperbolic system of equations with a nonlinear perturbation. Zbl 0568.35060
Kalyakin, L. A.
1
1984
all top 5

Cited by 83 Authors

19 Schneider, Guido
15 Kalyakin, Leonid Anatol’evich
10 Düll, Wolf-Patrick
10 Kaljakin, Leonid A.
9 Sultanov, Oskar A.
7 Kiselev, Oleg Mikhaĭlovich
4 Omel’yanov, Georgii A.
4 Samoĭlenko, Yuliya Ivanivna
4 Samoĭlenko, Valeriĭ Grygorovych
4 Wayne, C. Eugene
3 James, Guillaume
3 Joly, Jean-Luc
3 Métivier, Guy
3 Rauch, Jeffrey B.
2 Babin, A.
2 Bagderina, Yuliya Yur’evna
2 Cummings, Patrick
2 Glebov, Sergey G.
2 Groves, Mark D.
2 Krylov, A. V.
2 Lazarev, Vladimir A.
2 Lê Văn Út
2 Maslov, Viktor Pavlovich
2 Pelinovsky, Dmitry Efimovich
2 Saut, Jean-Claude
2 Tarkhanov, Nikolai N.
2 Zimmermann, Dominik
1 Ahadpour, Sodeif
1 Awrejcewicz, Jan
1 Bauer, Roman
1 Borisov, Dennis V.
1 Chew, Ek Peng
1 Chirilus-Bruckner, Martina
1 Chong, Christopher
1 Cohen, David W.
1 Danilov, Vladimir G.
1 Dobrokhotov, Sergei Yurievich
1 Dolgikh, D. V.
1 Figotin, A. L.
1 Figotin, Alexander
1 Garifullin, Rustem N.
1 Garifullin, Rustem Nailevich
1 Giannoulis, Johannes
1 Glebov, Sergei
1 Khabibullin, Ismagil Talgatovich
1 Hairer, Ernst
1 Hematpour, N.
1 Hermann, Alina
1 Heß, Max
1 Iooss, Gérard
1 Junca, Stéphane
1 Kashani, Kourosh Sanei
1 Kirrmann, Pius
1 Kiselev, Valery V.
1 Klein, Christian
1 Kuksin, Sergeĭ B.
1 Lee, Loo Hay
1 Liu, Huimin
1 Lubich, Christian
1 Matthies, Karsten
1 Mielke, Alexander
1 Mirmasoudi, F.
1 Nemati, Ali
1 Nesterov, A. V.
1 Pavlyuk, T. V.
1 Ponomarev, Dmitry V.
1 Pu, Xueke
1 Puzyrov, Volodymyr
1 Sakieva, Alfia
1 Sandilo, Sajad H.
1 Shafarevich, Andreĭ Igorevich
1 Shamsutdinov, M. A.
1 Shtaras, A. L.
1 Sunny, Danish Ali
1 Teng, Suyan
1 Totz, Nathan
1 Uecker, Hannes
1 Vagabov, A. I.
1 van Horssen, Wilhem Teunis
1 Veksler, Alex
1 Zarmi, Yair
1 Zheltukhina, Natalya A.
1 Zhevandrov, Peter N.
all top 5

Cited in 52 Serials

9 Theoretical and Mathematical Physics
8 Mathematical Notes
8 Journal of Differential Equations
6 Journal of Mathematical Sciences (New York)
5 Journal of Mathematical Physics
5 Proceedings of the Steklov Institute of Mathematics
4 Communications in Mathematical Physics
4 Russian Journal of Mathematical Physics
4 Nonlinear Dynamics
3 Journal of Applied Mathematics and Mechanics
3 Ukrainian Mathematical Journal
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Siberian Mathematical Journal
2 Computational Mathematics and Mathematical Physics
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Nelineĭnaya Dinamika
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Reviews in Mathematical Physics
1 Prikladnaya Matematika i Mekhanika
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Automatica
1 Duke Mathematical Journal
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Studies in Applied Mathematics
1 Physica D
1 Revista Matemática Iberoamericana
1 Asymptotic Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 Communications in Nonlinear Science and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Stochastics and Dynamics
1 Advances in Mathematical Physics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year