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Alfimov, Georgiĭ Leonidovich

Author ID:
alfimov.georgii-leonidovich Recent zbMATH articles by "Alfimov, Georgiĭ Leonidovich"
Published as:
Alfimov, G. L.;Alfimov, Georgy L.;Alfimov, G.;Alfimov, Georgiĭ Leonidovich
Documents Indexed:

39 Publications since 1987

alltop 5

Co-Authors

4single-authored
7 Eleonskij, V. M.
7 Zezyulin, Dmitry A.
6 Kulagin, N. E.
4 Konotop, Vladimir V.
4 Lebedev, Mikhail E.
4 Silin, V. P.
4 Vázquez, Luis
3 Kizin, Pavel Pavlovich
3 Lerman, Lev Mikhaĭlovich
2 Avramenko, A. I.
2 Evans, W. A. B.
2 Fedotov, A. P.
2 Malomed, Boris A.
1 Agranovich, Mikhail Semënovich
1 Aĭzenberg, Lev Abramovich
1 Brazhnyi, Valeriy A.
1 Comech, Andrew
1 Gegel, L. A.
1 Its, Alexander Rudolfovich
1 Karabegov, Alexander V.
1 Karasev, Mikhail Vladimirovich
1 Kevrekidis, Panayotis G.
1 Korobeinikov, A. S.
1 Kutsenko, N. A.
1 Lustri, Christopher J.
1 Malishevskii, A. S.
1 Maslov, Viktor Pavlovich
1 Medvedeva, E. V.
1 Mitskevich, N. V.
1 Pelinovsky, Dmitry Efimovich
1 Pierantozzi, Teresa
1 Pukhnachov, Vladislav Vasil'evich
1 Salerno, Mario
1 Shubin, Mikhail Aleksandrovich
1 Sinelshchikov, Dmitry I.
1 Slobodyanyuk, A. O.
1 Tamarkin, Dmitry E.
1 Tarkhanov, Nikolai N.
1 Tsygan, B. L.
1 Usero, David
1 Vishik, Marko Iosifovich
1 Voronov, Theodore

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 216 times in180 DocumentsCited by ▼Year ▼
On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation. Zbl 1051.35080
Alfimov, G. L.;Brazhnyi, V. A.;Konotop, V. V.
2004
Numerical study of a nonlocal sine-Gordon equation. Zbl 1099.35520
Alfimov, G.;Pierantozzi, T.;Vázquez, L.
2004
Nonlinear modes for the Gross-Pitaevskii equation – a demonstrative computation approach. Zbl 1221.35388
Alfimov, G. L.;Zezyulin, D. A.
2007
Standing lattice solitons in the discrete NLS equation with saturation. Zbl 1423.34019
Alfimov, G. L.;Korobeinikov, A. S.;Lustri, C. J.;Pelinovsky, D. E.
2019
Coding of nonlinear states for the Gross-Pitaevskii equation with periodic potential. Zbl 1284.35389
Alfimov, G. L.;Avramenko, A. I.
2013
Dynamics of topological solitons in models with nonlocal interactions. Zbl 1055.35505
Alfimov, G. L.;Eleonskiĭ, V. M.;Kulagin, N. E.;Mitskevich, N. V.
1993
Solitary wave solutions of nonlocal sine-Gordon equations. Zbl 0970.35122
Alfimov, G. L.;Eleonsky, V. M.;Lerman, L. M.
1998
On existence of nontrivial solutions for the equation \(\Delta u-u+u^ 3=0\). Zbl 0715.35068
Alfimov, G. L.;Eleonskii, V. M.;Kulagin, N. E.;Lerman, L. M.;Silin, V. P.
1990
Modulation instability of solutions of the nonlinear Schrödinger equation. Zbl 0718.35088
Alfimov, G. L.;Its, A. R.;Kulagin, N. E.
1990
Stable dipole solitons and soliton complexes in the nonlinear Schrödinger equation with periodically modulated nonlinearity. Zbl 1375.35496
Lebedev, M. E.;Alfimov, G. L.;Malomed, Boris A.
2016
Discrete set of kink velocities in Josephson structures: the nonlocal double sine-Gordon model. Zbl 1349.82165
Alfimov, G. L.;Malishevskii, A. S.;Medvedeva, E. V.
2014
Dynamical systems in the theory of solitons in the presence of nonlocal interactions. Zbl 1055.37580
Alfimov, G. L.;Eleonsky, V. M.;Kulagin, N. E.
1992
On the existence of gap solitons. Zbl 0978.35069
Alfimov, G.;Konotop, V. V.
2000
Gap solitons for the repulsive Gross-Pitaevskii equation with periodic potential: coding and method for computation. Zbl 1361.35161
Alfimov, Georgy L.;Kizin, Pavel P.;Zezyulin, Dmitry A.
2017
On some types of not one-dimensional, self-localized solutions of the equation \(\Delta u+f(u)=0\). Zbl 0786.35049
Alfimov, G. L.;Eleonskij, V. M.;Kulagin, N. E.;Lerman, L. M.;Silin, V. P.
1991
On radial sine-Gordon breathers. Zbl 0969.35014
Alfimov, G. L.;Evans, W. A. B.;Vázquez, L.
2000
On the reduction of a nonlinear Schrödinger equation with a periodic potential to a vector lattice. Zbl 1053.81515
Konotop, V. V.;Alfimov, G. L.;Kevrekidis, P. G.;Salerno, M.
2003
On small perturbations of stationary states in a nonlinear nonlocal model of a Josephson junction. Zbl 1020.82617
Alfimov, G. L.;Silin, V. P.
1995
On complex singularities of solutions to the equation \(\mathcal H u_x-u+u^p=0\). Zbl 0972.45005
Alfimov, G. L.;Usero, D.;Vázquez, L.
2000
Localized modes in the Gross-Pitaevskii equation with a parabolic trapping potential and a nonlinear lattice pseudopotential. Zbl 1508.82043
Alfimov, G. L.;Gegel, L. A.;Lebedev, M. E.;Malomed, B. A.;Zezyulin, D. A.
2019
Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity. Zbl 1453.34050
Alfimov, G. L.;Fedotov, A. P.;Sinelshchikov, D. I.
2020
Nonlocal sine-Gordon equation: kink solutions in the weak nonlocality limit. Zbl 07956671
Alfimov, G. L.
2009
Oscillatory instabilities of gap solitons in a repulsive Bose-Einstein condensate. Zbl 1376.35091
Kizin, P. P.;Zezyulin, D. A.;Alfimov, G. L.
2016
On solutions of Cauchy problem for equation \(u_{xx}+Q(x)u-P(u)=0\) without singularities in a given interval. Zbl 1463.34031
Alfimov, Georgiĭ Leonidovich;Kizin, Pavel Pavlovich
2016
Demonstrative computation of vortex structures in Bose-Einstein condensate. Zbl 07956647
Alfimov, G. L.;Zezyulin, D. A.
2009
On nonexistence of continuous families of stationary nonlinear modes for a class of complex potentials. Zbl 1535.81117
Zezyulin, D. A.;Slobodyanyuk, A. O.;Alfimov, G. L.
2022
Coding of nonlinear states for NLS-type equations with periodic potential. Zbl 1327.35347
Alfimov, G. L.;Avramenko, A. I.
2014
Complete description of bounded solutions for a Duffing-type equation with a periodic piecewise constant coefficient. Zbl 1541.37067
Alfimov, Georgy L.;Lebedev, Mikhail E.
2023
On the dimension of the set of solutions for nonlocal nonlinear wave equation. Zbl 07959458
Alfimov, Georgiĭ Leonidovich
2011
Complete description of bounded solutions for a Duffing-type equation with a periodic piecewise constant coefficient. Zbl 1541.37067
Alfimov, Georgy L.;Lebedev, Mikhail E.
2023
On nonexistence of continuous families of stationary nonlinear modes for a class of complex potentials. Zbl 1535.81117
Zezyulin, D. A.;Slobodyanyuk, A. O.;Alfimov, G. L.
2022
Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity. Zbl 1453.34050
Alfimov, G. L.;Fedotov, A. P.;Sinelshchikov, D. I.
2020
Standing lattice solitons in the discrete NLS equation with saturation. Zbl 1423.34019
Alfimov, G. L.;Korobeinikov, A. S.;Lustri, C. J.;Pelinovsky, D. E.
2019
Localized modes in the Gross-Pitaevskii equation with a parabolic trapping potential and a nonlinear lattice pseudopotential. Zbl 1508.82043
Alfimov, G. L.;Gegel, L. A.;Lebedev, M. E.;Malomed, B. A.;Zezyulin, D. A.
2019
Gap solitons for the repulsive Gross-Pitaevskii equation with periodic potential: coding and method for computation. Zbl 1361.35161
Alfimov, Georgy L.;Kizin, Pavel P.;Zezyulin, Dmitry A.
2017
Stable dipole solitons and soliton complexes in the nonlinear Schrödinger equation with periodically modulated nonlinearity. Zbl 1375.35496
Lebedev, M. E.;Alfimov, G. L.;Malomed, Boris A.
2016
Oscillatory instabilities of gap solitons in a repulsive Bose-Einstein condensate. Zbl 1376.35091
Kizin, P. P.;Zezyulin, D. A.;Alfimov, G. L.
2016
On solutions of Cauchy problem for equation \(u_{xx}+Q(x)u-P(u)=0\) without singularities in a given interval. Zbl 1463.34031
Alfimov, Georgiĭ Leonidovich;Kizin, Pavel Pavlovich
2016
Discrete set of kink velocities in Josephson structures: the nonlocal double sine-Gordon model. Zbl 1349.82165
Alfimov, G. L.;Malishevskii, A. S.;Medvedeva, E. V.
2014
Coding of nonlinear states for NLS-type equations with periodic potential. Zbl 1327.35347
Alfimov, G. L.;Avramenko, A. I.
2014
Coding of nonlinear states for the Gross-Pitaevskii equation with periodic potential. Zbl 1284.35389
Alfimov, G. L.;Avramenko, A. I.
2013
On the dimension of the set of solutions for nonlocal nonlinear wave equation. Zbl 07959458
Alfimov, Georgiĭ Leonidovich
2011
Nonlocal sine-Gordon equation: kink solutions in the weak nonlocality limit. Zbl 07956671
Alfimov, G. L.
2009
Demonstrative computation of vortex structures in Bose-Einstein condensate. Zbl 07956647
Alfimov, G. L.;Zezyulin, D. A.
2009
Nonlinear modes for the Gross-Pitaevskii equation – a demonstrative computation approach. Zbl 1221.35388
Alfimov, G. L.;Zezyulin, D. A.
2007
On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation. Zbl 1051.35080
Alfimov, G. L.;Brazhnyi, V. A.;Konotop, V. V.
2004
Numerical study of a nonlocal sine-Gordon equation. Zbl 1099.35520
Alfimov, G.;Pierantozzi, T.;Vázquez, L.
2004
On the reduction of a nonlinear Schrödinger equation with a periodic potential to a vector lattice. Zbl 1053.81515
Konotop, V. V.;Alfimov, G. L.;Kevrekidis, P. G.;Salerno, M.
2003
On the existence of gap solitons. Zbl 0978.35069
Alfimov, G.;Konotop, V. V.
2000
On radial sine-Gordon breathers. Zbl 0969.35014
Alfimov, G. L.;Evans, W. A. B.;Vázquez, L.
2000
On complex singularities of solutions to the equation \(\mathcal H u_x-u+u^p=0\). Zbl 0972.45005
Alfimov, G. L.;Usero, D.;Vázquez, L.
2000
Solitary wave solutions of nonlocal sine-Gordon equations. Zbl 0970.35122
Alfimov, G. L.;Eleonsky, V. M.;Lerman, L. M.
1998
On small perturbations of stationary states in a nonlinear nonlocal model of a Josephson junction. Zbl 1020.82617
Alfimov, G. L.;Silin, V. P.
1995
Dynamics of topological solitons in models with nonlocal interactions. Zbl 1055.35505
Alfimov, G. L.;Eleonskiĭ, V. M.;Kulagin, N. E.;Mitskevich, N. V.
1993
Dynamical systems in the theory of solitons in the presence of nonlocal interactions. Zbl 1055.37580
Alfimov, G. L.;Eleonsky, V. M.;Kulagin, N. E.
1992
On some types of not one-dimensional, self-localized solutions of the equation \(\Delta u+f(u)=0\). Zbl 0786.35049
Alfimov, G. L.;Eleonskij, V. M.;Kulagin, N. E.;Lerman, L. M.;Silin, V. P.
1991
On existence of nontrivial solutions for the equation \(\Delta u-u+u^ 3=0\). Zbl 0715.35068
Alfimov, G. L.;Eleonskii, V. M.;Kulagin, N. E.;Lerman, L. M.;Silin, V. P.
1990
Modulation instability of solutions of the nonlinear Schrödinger equation. Zbl 0718.35088
Alfimov, G. L.;Its, A. R.;Kulagin, N. E.
1990
alltop 5

Cited by 280 Authors

17 Alfimov, Georgiĭ Leonidovich
15 Kevrekidis, Panayotis G.
11 Vougalter, Vitali
10 Macías-Díaz, Jorge Eduardo
9 Lerman, Lev Mikhaĭlovich
8 Malomed, Boris A.
8 Pelinovsky, Dmitry Efimovich
7 Efendiev, Messoud
6 Zezyulin, Dmitry A.
5 Eleonskij, V. M.
5 Lustri, Christopher J.
4 Cai, Wenjun
4 Carretero-González, Ricardo
4 Chien, Cheng-Sheng
4 Ekomasov, Evgeniĭ Grigor'evich
4 Frantzeskakis, Dimitri J.
4 Konotop, Vladimir V.
4 Lebedev, Mikhail E.
4 Wang, Yushun
4 Yoshimura, Kazuyuki
3 Gelfreich, Vassili
3 Gumerov, Azamat Maratovich
3 Hendy, Ahmed S.
3 Hu, Dongdong
3 Kizin, Pavel Pavlovich
3 Sacchetti, Andrea
3 Schneider, Guido
3 Tarasov, Vasily E.
3 Tchawoua, Clement
3 Volpert, Vitaly A.
2 Avramenko, A. I.
2 Chong, Christopher
2 Cuevas Maraver, Jesús
2 De Staelen, Rob H.
2 Deng, Guo
2 Doi, Yusuke
2 Ebadi, Zahra
2 Fedotov, A. P.
2 Fu, Yayun
2 Gesztesy, Fritz
2 Hoq, Q. Enam
2 James, Guillaume
2 Kudryavtsev, Roman V.
2 Kulagin, N. E.
2 Ma, Shiwang
2 Maleki, Mahnaz
2 Malishevskii, A. S.
2 Marangell, Robert
2 Matveev, Vladimir B.
2 Mohammadzadeh, Hosein
2 Motcheyo, Alain Bertrand Togueu
2 Porter, Mason Alexander
2 Ross, Ryan M.
2 Smirnov, Alexander O.
2 Sourdis, Christos
2 Sun, Jijiang
2 Torres Villarroya, Pedro José
2 Vázquez, Luis
2 Wang, Nan
2 Wang, Zhan
2 Weikard, Rudi
2 Wen, Liping
2 Whitaker, Nathaniel
2 Xie, Jianqiang
2 Xing, Zhiyong
2 Yakhshimuratov, Alisher Bekchanovich
2 Zhang, Zhiyue
1 Achilleos, V. A.
1 Aguierre, C.
1 Akhmediev, Nail N.
1 Alexeeva, Nora V.
1 Aniceto, Inês
1 Ankiewicz, Adrian
1 Arevalillo-Herráez, Miguel
1 Ávila, Andrés I.
1 Barashenkov, Igor V.
1 Barbanti, Luciano
1 Barrio, Roberto
1 Bhatia, Sanjana
1 Birman, Joseph L.
1 Bo, Yonghui
1 Bogdan, Mikhail M.
1 Boyd, John Philip
1 Brazhnyi, Valeriy A.
1 Bronski, Jared C.
1 Büyükkılıç, Fevzi
1 Cabanas, Ana M.
1 Campos, João G. F.
1 Chang, Shing-Lin
1 Charalampidis, Efstathios G.
1 Chen, Huei-Shuang
1 Chen, Song-Yun
1 Chowdury, Amdad
1 Christiansen, Peter Leth
1 Clarke, William A.
1 Clerc, Marcel G.
1 Clifton, Olivia
1 Cruz, H. A.
1 Cunha, M. D.
1 Damasceno, Berenice Camargo
...and 180 more Authors
alltop 5

Cited in 80 Serials

28 Physica D
9 Communications in Nonlinear Science and Numerical Simulation
7 Physics Letters. A
7 Chaos
4 Journal of Computational Physics
4 Journal of Mathematical Physics
4 Mathematics and Computers in Simulation
3 Computer Physics Communications
3 Chaos, Solitons and Fractals
3 Applied Mathematics and Computation
3 Journal of Computational and Applied Mathematics
3 Journal of Scientific Computing
3 International Journal of Computer Mathematics
3 SIAM Journal on Applied Dynamical Systems
3 Complex Variables and Elliptic Equations
3 Russian Journal of Nonlinear Dynamics
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 Computers \& Mathematics with Applications
2 Journal of Mathematical Analysis and Applications
2 Theoretical and Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Monatshefte für Mathematik
2 Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
2 Studies in Applied Mathematics
2 Applied Numerical Mathematics
2 Applied Mathematics Letters
2 Japan Journal of Industrial and Applied Mathematics
2 Computational Mathematics and Mathematical Physics
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Chemistry
2 Regular and Chaotic Dynamics
2 Journal of High Energy Physics
2 Discrete and Continuous Dynamical Systems. Series B
2 International Journal of Geometric Methods in Modern Physics
2 Advances in Difference Equations
2 Journal of Physics A: Mathematical and Theoretical
1 Modern Physics Letters A
1 International Journal of Modern Physics B
1 Communications in Mathematical Physics
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Reports on Mathematical Physics
1 Wave Motion
1 Zhurnal Vychislitel'noĭ Matematiki i Matematicheskoĭ Fiziki
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Quarterly of Applied Mathematics
1 Acta Applicandae Mathematicae
1 Asymptotic Analysis
1 M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 SIAM Journal on Scientific Computing
1 Physics of Fluids
1 Journal of Mathematical Sciences (New York)
1 Complexity
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 New Journal of Physics
1 Journal of Nonlinear Mathematical Physics
1 Differential Equations
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Physical Review E. Third Series
1 Waves in Random and Complex Media
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Pseudo-Differential Operators and Applications
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Analysis and Mathematical Physics
1 European Journal of Mathematics
1 Nelineĭnaya Dinamika
1 Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika
alltop 5

Cited in 29 Fields

132 Partial differential equations (35-XX)
53 Dynamical systems and ergodic theory (37-XX)
40 Numerical analysis (65-XX)
30 Ordinary differential equations (34-XX)
24 Quantum theory (81-XX)
20 Statistical mechanics, structure of matter (82-XX)
17 Difference and functional equations (39-XX)
12 Optics, electromagnetic theory (78-XX)
9 Real functions (26-XX)
9 Mechanics of particles and systems (70-XX)
8 Fluid mechanics (76-XX)
6 Integral equations (45-XX)
6 Operator theory (47-XX)
5 Mechanics of deformable solids (74-XX)
4 Biology and other natural sciences (92-XX)
2 Approximations and expansions (41-XX)
2 Functional analysis (46-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Computer science (68-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 General algebraic systems (08-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Differential geometry (53-XX)
1 Probability theory and stochastic processes (60-XX)
1 Systems theory; control (93-XX)

Citations by Year

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