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Stepanyants, Yury A.

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Author ID: stepanyants.yury-a Recent zbMATH articles by "Stepanyants, Yury A."
Published as: Stepan’yants, Yu. A.; Stepanyants, Y.; Stepanyants, Y. A.; Stepanyants, Yu. A.; Stepanyants, Yury; Stepanyants, Yury A.
Documents Indexed: 65 Publications since 1983, including 2 Books

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 320 times in 241 Documents Cited by Year
On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons. Zbl 1088.35531
Stepanyants, Y. A.
43
2006
Convergence of Petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations. Zbl 1086.65098
Pelinovsky, Dmitry E.; Stepanyants, Yury A.
40
2004
On the existence of stationary solitary waves in a rotating fluid. Zbl 0786.76016
Galkin, V. M.; Stepanyants, Yu. A.
34
1991
Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Zbl 0843.76008
Gilman, O. A.; Grimshaw, R.; Stepanyants, Yu. A.
32
1995
Internal solitons in laboratory experiments: Comparison with theoretical models. Zbl 1144.37394
Ostrovsky, L. A.; Stepanyants, Y. A.
19
2005
The structure of the rational solutions to the Boussinesq equation. Zbl 0900.35341
Galkin, V. M.; Pelinovsky, D. E.; Stepanyants, Yu. A.
15
1995
Nonlinear surface and internal waves in rotating fluids. Zbl 0719.76021
Ostrovsky, L. A.; Stepanyants, Yu. A.
14
1990
Radiation instability in a stratified shear flow. Zbl 0534.76059
Ostrovsky, L. A.; Stepanyants, Yu. A.; Tsimring, L. Sh.
13
1984
On numerical solution of the Gardner-Ostrovsky equation. Zbl 1251.35134
Obregon, M. A.; Stepanyants, Y. A.
9
2012
Wave propagation in shear flows. Zbl 0928.76004
Stepanyants, Yu. A.; Fabrikant, A. L.
9
1996
Solutions of the modified Ostrovskii equation with cubic nonlinearity. Zbl 0982.35086
Nikitenkova, S. P.; Stepanyants, Yu. A.; Chikhladze, L. M.
8
2000
Beyond the KdV: post-explosion development. Zbl 1374.35355
Ostrovsky, L.; Pelinovsky, E.; Shrira, V.; Stepanyants, Y.
7
2015
Two-dimensional models for nonlinear vorticity waves in shear flows. Zbl 1136.76372
Voronovich, V. V.; Shrira, V. I.; Stepanyants, Yu. A.
6
1998
Linear theory of surface and internal wave generation. Zbl 0626.76116
Stepanyants, Yu. A.; Sturova, I. V.; Teodorovich, E. V.
6
1987
Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion. Zbl 1371.35250
Grimshaw, Roger; Stepanyants, Yury; Alias, Azwani
5
2016
Nonlinear vector waves of a flexural mode in a chain model of atomic particles. Zbl 1310.35208
Nikitenkova, S. P.; Raj, N.; Stepanyants, Y. A.
4
2015
The inverse problem for the Gross-Pitaevskii equation. Zbl 1311.35294
Malomed, Boris A.; Stepanyants, Yury A.
4
2010
Decay of cylindrical and spherical solitons in rotating media. Zbl 1002.74050
Fraunie, P.; Stepanyants, Y.
4
2002
Particle and bubble dynamics in a creeping flow. Zbl 1176.76135
Stepanyants, Yury A.; Yeoh, Guan H.
3
2009
Lump solutions of 2D generalized Gardner equation. Zbl 1130.35359
Stepanyants, Y. A.; Ten, I. K.; Tomita, H.
3
2007
Propagation of waves in hydrodynamics flows. Zbl 0923.76005
Stepanyants, Y. A.; Fabrikant, A. L.
3
1998
Soliton interaction with external forcing within the Korteweg-de Vries equation. Zbl 1406.35328
Ermakov, Andrei; Stepanyants, Yury
2
2019
Interaction of multi-lumps within the Kadomtsev-Petviashvili equation. Zbl 07213362
Hu, Wencheng; Huang, Wenhua; Lu, Zhiming; Stepanyants, Yury
2
2018
Helical solitons in vector modified Korteweg-de Vries equations. Zbl 1404.35395
Pelinovsky, Dmitry E.; Stepanyants, Yury A.
2
2018
Decay of Kadomtsev-Petviashvili lumps in dissipative media. Zbl 1381.35010
Clarke, S.; Gorshkov, K.; Grimshaw, R.; Stepanyants, Y.
2
2018
Obliquely propagating skew KP lumps. Zbl 07209705
Singh, N.; Stepanyants, Yury
2
2016
Negative energy waves in a shear flow with a linear profile. Zbl 1408.76080
Maïssa, Philippe; Rousseaux, Germain; Stepanyants, Yury
2
2016
Dynamics of soliton chains: from simple to complex and chaotic motions. Zbl 1248.35173
Gorshkov, Konstantin A.; Ostrovsky, Lev A.; Stepanyants, Yury A.
2
2010
Solutions classification to the extended reduced Ostrovsky equation. Zbl 1169.35378
Stepanyants, Yury A.
2
2008
Stationary bathtub vortices and a critical regime of liquid discharge. Zbl 1151.76437
Stepanyants, Yury A.; Yeoh, Guan H.
2
2008
Dynamics of particles in the steady flows of an inviscid fluid. Zbl 1055.76509
Druzhinin, O. A.; Ostrovsky, L. A.; Stepan’yants, Yu. A.
2
1993
On the connections between solutions of one-dimensional and quasi-one- dimensional evolution equations. Zbl 0683.35003
Stepanyants, Yu. A.
2
1989
Note on the paper of Kochar and Jain on Howard’s semicircle theorem. Zbl 0571.76054
Makov, Yu. N.; Stepanyants, Yu. A.
2
1984
Nonlinear stage of the shearing instability in a stratified liquid of finite depth. Zbl 0532.76019
Ostrovskij, L. A.; Stepanyants, Yu. A.
2
1983
The effects of interplay between the rotation and shoaling for a solitary wave on variable topography. Zbl 1418.35314
Stepanyants, Yury
1
2019
Decay of Benjamin-Ono solitons under the influence of dissipation. Zbl 07214059
Grimshaw, Roger H.; Smyth, Noel F.; Stepanyants, Yury A.
1
2018
Dynamics of particles and bubbles under the action of acoustic radiation force. Zbl 1395.76089
Ostrovsky, Lev A.; Stepanyants, Yury A.
1
2018
Interaction of solitons with long waves in a rotating fluid. Zbl 1415.76735
Ostrovsky, L. A.; Stepanyants, Y. A.
1
2016
Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions. Zbl 1374.76031
Nikitenkova, S.; Singh, N.; Stepanyants, Y.
1
2015
Structure of internal solitary waves in two-layer fluid at near-critical situation. Zbl 1334.76024
Kurkina, O.; Singh, N.; Stepanyants, Y.
1
2015
On stationary solutions of the reduced Gardner-Ostrovsky equation. Zbl 1316.86002
Obregon, Maria; Stepanyants, Yury
1
2014
Dispersion properties of waves on the surface of a viscous fluid covered by an elastic film. Zbl 1308.76101
Averbukh, E. L.; Kurkin, A. A.; Stepanyants, Yu. A.; Talipova, T. G.
1
2014
Transformation of narrowband wavetrains of surface gravity waves passing over a bottom step. Zbl 1304.35544
Giniyatullin, A. R.; Kurkin, A. A.; Semin, S. V.; Stepanyants, Y. A.
1
2014
Burgers-Rott vortices with surface tension. Zbl 1304.76021
Stepanyants, Yury A.; Yeoh, Guan H.
1
2008
A conceptual model for the description of oxidation and transport processes in sulphidic waste rock dumps. Zbl 0999.80006
Pantelis, G.; Ritchie, A. I. M.; Stepanyants, Y. A.
1
2002
Radiative instability of stratified shear flows in the Drazin model. Zbl 0679.76061
Makov, Yu. N.; Stepanyants, Yu. A.
1
1987
Influence of stratification on the stability of shear flows of an ideal fluid. Zbl 0644.76044
Makov, Yu. N.; Stepanyants, Yu. A.
1
1985
Soliton interaction with external forcing within the Korteweg-de Vries equation. Zbl 1406.35328
Ermakov, Andrei; Stepanyants, Yury
2
2019
The effects of interplay between the rotation and shoaling for a solitary wave on variable topography. Zbl 1418.35314
Stepanyants, Yury
1
2019
Interaction of multi-lumps within the Kadomtsev-Petviashvili equation. Zbl 07213362
Hu, Wencheng; Huang, Wenhua; Lu, Zhiming; Stepanyants, Yury
2
2018
Helical solitons in vector modified Korteweg-de Vries equations. Zbl 1404.35395
Pelinovsky, Dmitry E.; Stepanyants, Yury A.
2
2018
Decay of Kadomtsev-Petviashvili lumps in dissipative media. Zbl 1381.35010
Clarke, S.; Gorshkov, K.; Grimshaw, R.; Stepanyants, Y.
2
2018
Decay of Benjamin-Ono solitons under the influence of dissipation. Zbl 07214059
Grimshaw, Roger H.; Smyth, Noel F.; Stepanyants, Yury A.
1
2018
Dynamics of particles and bubbles under the action of acoustic radiation force. Zbl 1395.76089
Ostrovsky, Lev A.; Stepanyants, Yury A.
1
2018
Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion. Zbl 1371.35250
Grimshaw, Roger; Stepanyants, Yury; Alias, Azwani
5
2016
Obliquely propagating skew KP lumps. Zbl 07209705
Singh, N.; Stepanyants, Yury
2
2016
Negative energy waves in a shear flow with a linear profile. Zbl 1408.76080
Maïssa, Philippe; Rousseaux, Germain; Stepanyants, Yury
2
2016
Interaction of solitons with long waves in a rotating fluid. Zbl 1415.76735
Ostrovsky, L. A.; Stepanyants, Y. A.
1
2016
Beyond the KdV: post-explosion development. Zbl 1374.35355
Ostrovsky, L.; Pelinovsky, E.; Shrira, V.; Stepanyants, Y.
7
2015
Nonlinear vector waves of a flexural mode in a chain model of atomic particles. Zbl 1310.35208
Nikitenkova, S. P.; Raj, N.; Stepanyants, Y. A.
4
2015
Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions. Zbl 1374.76031
Nikitenkova, S.; Singh, N.; Stepanyants, Y.
1
2015
Structure of internal solitary waves in two-layer fluid at near-critical situation. Zbl 1334.76024
Kurkina, O.; Singh, N.; Stepanyants, Y.
1
2015
On stationary solutions of the reduced Gardner-Ostrovsky equation. Zbl 1316.86002
Obregon, Maria; Stepanyants, Yury
1
2014
Dispersion properties of waves on the surface of a viscous fluid covered by an elastic film. Zbl 1308.76101
Averbukh, E. L.; Kurkin, A. A.; Stepanyants, Yu. A.; Talipova, T. G.
1
2014
Transformation of narrowband wavetrains of surface gravity waves passing over a bottom step. Zbl 1304.35544
Giniyatullin, A. R.; Kurkin, A. A.; Semin, S. V.; Stepanyants, Y. A.
1
2014
On numerical solution of the Gardner-Ostrovsky equation. Zbl 1251.35134
Obregon, M. A.; Stepanyants, Y. A.
9
2012
The inverse problem for the Gross-Pitaevskii equation. Zbl 1311.35294
Malomed, Boris A.; Stepanyants, Yury A.
4
2010
Dynamics of soliton chains: from simple to complex and chaotic motions. Zbl 1248.35173
Gorshkov, Konstantin A.; Ostrovsky, Lev A.; Stepanyants, Yury A.
2
2010
Particle and bubble dynamics in a creeping flow. Zbl 1176.76135
Stepanyants, Yury A.; Yeoh, Guan H.
3
2009
Solutions classification to the extended reduced Ostrovsky equation. Zbl 1169.35378
Stepanyants, Yury A.
2
2008
Stationary bathtub vortices and a critical regime of liquid discharge. Zbl 1151.76437
Stepanyants, Yury A.; Yeoh, Guan H.
2
2008
Burgers-Rott vortices with surface tension. Zbl 1304.76021
Stepanyants, Yury A.; Yeoh, Guan H.
1
2008
Lump solutions of 2D generalized Gardner equation. Zbl 1130.35359
Stepanyants, Y. A.; Ten, I. K.; Tomita, H.
3
2007
On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons. Zbl 1088.35531
Stepanyants, Y. A.
43
2006
Internal solitons in laboratory experiments: Comparison with theoretical models. Zbl 1144.37394
Ostrovsky, L. A.; Stepanyants, Y. A.
19
2005
Convergence of Petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations. Zbl 1086.65098
Pelinovsky, Dmitry E.; Stepanyants, Yury A.
40
2004
Decay of cylindrical and spherical solitons in rotating media. Zbl 1002.74050
Fraunie, P.; Stepanyants, Y.
4
2002
A conceptual model for the description of oxidation and transport processes in sulphidic waste rock dumps. Zbl 0999.80006
Pantelis, G.; Ritchie, A. I. M.; Stepanyants, Y. A.
1
2002
Solutions of the modified Ostrovskii equation with cubic nonlinearity. Zbl 0982.35086
Nikitenkova, S. P.; Stepanyants, Yu. A.; Chikhladze, L. M.
8
2000
Two-dimensional models for nonlinear vorticity waves in shear flows. Zbl 1136.76372
Voronovich, V. V.; Shrira, V. I.; Stepanyants, Yu. A.
6
1998
Propagation of waves in hydrodynamics flows. Zbl 0923.76005
Stepanyants, Y. A.; Fabrikant, A. L.
3
1998
Wave propagation in shear flows. Zbl 0928.76004
Stepanyants, Yu. A.; Fabrikant, A. L.
9
1996
Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Zbl 0843.76008
Gilman, O. A.; Grimshaw, R.; Stepanyants, Yu. A.
32
1995
The structure of the rational solutions to the Boussinesq equation. Zbl 0900.35341
Galkin, V. M.; Pelinovsky, D. E.; Stepanyants, Yu. A.
15
1995
Dynamics of particles in the steady flows of an inviscid fluid. Zbl 1055.76509
Druzhinin, O. A.; Ostrovsky, L. A.; Stepan’yants, Yu. A.
2
1993
On the existence of stationary solitary waves in a rotating fluid. Zbl 0786.76016
Galkin, V. M.; Stepanyants, Yu. A.
34
1991
Nonlinear surface and internal waves in rotating fluids. Zbl 0719.76021
Ostrovsky, L. A.; Stepanyants, Yu. A.
14
1990
On the connections between solutions of one-dimensional and quasi-one- dimensional evolution equations. Zbl 0683.35003
Stepanyants, Yu. A.
2
1989
Linear theory of surface and internal wave generation. Zbl 0626.76116
Stepanyants, Yu. A.; Sturova, I. V.; Teodorovich, E. V.
6
1987
Radiative instability of stratified shear flows in the Drazin model. Zbl 0679.76061
Makov, Yu. N.; Stepanyants, Yu. A.
1
1987
Influence of stratification on the stability of shear flows of an ideal fluid. Zbl 0644.76044
Makov, Yu. N.; Stepanyants, Yu. A.
1
1985
Radiation instability in a stratified shear flow. Zbl 0534.76059
Ostrovsky, L. A.; Stepanyants, Yu. A.; Tsimring, L. Sh.
13
1984
Note on the paper of Kochar and Jain on Howard’s semicircle theorem. Zbl 0571.76054
Makov, Yu. N.; Stepanyants, Yu. A.
2
1984
Nonlinear stage of the shearing instability in a stratified liquid of finite depth. Zbl 0532.76019
Ostrovskij, L. A.; Stepanyants, Yu. A.
2
1983
all top 5

Cited by 374 Authors

21 Stepanyants, Yury A.
11 Grimshaw, Roger Hamilton James
10 Coclite, Giuseppe Maria
9 Liu, Yue
8 Di Ruvo, Lorenzo
8 Dutykh, Denys
7 Duran, Angel
7 Pelinovsky, Dmitry Efimovich
5 Clamond, Didier
5 Esfahani, Amin
5 Li, Jibin
5 Mitsotakis, Dimitrios E.
5 Varlamov, Vladimir V.
5 Yan, Wei
4 Clarkson, Peter A.
4 Huang, Jianhua
4 Khusnutdinova, Karima Robertovna
4 Lakoba, Taras I.
4 Ostrovsky, Lev A.
4 Pelinovsky, Efim
4 Yang, Jianke
3 Arkhipov, D. G.
3 Carvajal, Xavier Paredes
3 Cui, Shangbin
3 Estévez, Pilar G.
3 Feng, Baofeng
3 Khabakhpashev, G. A.
3 Kurkina, Oksana
3 Levandosky, Steven Paul
3 Prada, Julia
3 Stefanov, Atanas G.
3 Zhao, Xiangqing
2 Alonso-Mallo, Isaías
2 Alvarez, Jacqueline
2 Bulatov, Vitaliĭ Vasil’evich
2 Cai, Jionghui
2 Carr, Michael D.
2 Chen, Guanrong
2 Chiron, David
2 Choi, Wooyoung
2 Davies, Peter A.
2 Duan, Jinqiao
2 Dyachenko, Sergey A.
2 El, Gennady A.
2 Ermakov, Andrei M.
2 Erofeev, Vladimir I.
2 Gil’man, O. A.
2 Gorlov, S. I.
2 Helfrich, Karl R.
2 Kurkin, Andrey
2 Li, Yongsheng
2 Lushnikov, Pavel Mikhaĭlovich
2 Maruno, Kenichi
2 Nikitenkova, S. P.
2 Ostrovskii, L. A.
2 Panthee, Mahendra
2 Parkes, E. John
2 Reguera, Nuria
2 Risebro, Nils Henrik
2 Rodríguez-Rodríguez, Javier
2 Rosenau, Philip S.
2 Scheid, Claire
2 Shrira, Victor I.
2 Smyth, Noel F.
2 Stanislavova, Milena
2 Talipova, Tatiana
2 Tian, Lixin
2 Villarroel, Javier
2 Vladimirov, Yury V.
2 Wang, Hongwei
2 Wang, Junfang
2 Xie, Shaolong
2 Zhang, Lina
2 Zhang, Pingzheng
2 Zilburg, Alon
1 Abazari, Reza
1 Ablowitz, Mark Jay
1 Abrashkin, Anatoly
1 Aghsaee, Payam
1 Ahmed, Rayhan
1 Aitbayev, Rakhim
1 Alias, Azwani
1 Aly, Emad H.
1 Andersen, Anders Holst
1 Arredondo, Robert
1 Averbukh, E. L.
1 Ayaz, Fatma
1 Barman, Sambhu Charan
1 Bekir, Ahmet
1 Bernal-Vílchis, Fernando
1 Biondini, Gino
1 Bochkarev, Andrey V.
1 Boegman, Leon
1 Bøhling, L.
1 Bona, Jerry Lloyd
1 Bouetou Bouetou, Thomas
1 Boukarou, Aissa
1 Boutet de Monvel, Anne Marie
1 Boyd, John Philip
1 Brugnano, Luigi
...and 274 more Authors
all top 5

Cited in 85 Serials

18 Journal of Fluid Mechanics
15 Chaos
10 Physica D
9 Fluid Dynamics
9 Studies in Applied Mathematics
8 Journal of Computational Physics
8 Journal of Mathematical Analysis and Applications
8 Journal of Differential Equations
7 Wave Motion
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Communications in Nonlinear Science and Numerical Simulation
7 Nonlinear Analysis. Real World Applications
6 Physics Letters. A
6 Physics of Fluids
5 Chaos, Solitons and Fractals
5 Applied Mathematics and Computation
4 Journal of Applied Mathematics and Mechanics
3 Journal of Mathematical Physics
3 Prikladnaya Matematika i Mekhanika
3 BIT
3 Mathematics and Computers in Simulation
3 Journal of Scientific Computing
3 SIAM Journal on Mathematical Analysis
3 Journal of Dynamics and Differential Equations
2 Applicable Analysis
2 Computers and Fluids
2 Computers & Mathematics with Applications
2 Mathematical Methods in the Applied Sciences
2 Journal of Computational and Applied Mathematics
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 NoDEA. Nonlinear Differential Equations and Applications
2 Discrete and Continuous Dynamical Systems
2 Abstract and Applied Analysis
2 Journal of Applied Mechanics and Technical Physics
2 European Journal of Mechanics. B. Fluids
2 Journal of Physics A: Mathematical and Theoretical
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Astronomische Nachrichten
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 International Journal of Theoretical Physics
1 Journal of Engineering Mathematics
1 Nonlinearity
1 Theoretical and Mathematical Physics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the American Mathematical Society
1 Applied Mathematics and Mechanics. (English Edition)
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Computers & Operations Research
1 Mathematical and Computer Modelling
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Computational and Applied Mathematics
1 Mathematics and Mechanics of Solids
1 Mathematical Physics, Analysis and Geometry
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Differential Equations
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Computational Methods and Function Theory
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Milan Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Journal of Hyperbolic Differential Equations
1 Mediterranean Journal of Mathematics
1 Boundary Value Problems
1 Frontiers of Mathematics in China
1 Izvestiya. Atmospheric and Oceanic Physics
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Mathematical Physics
1 International Journal of Differential Equations
1 Analysis and Mathematical Physics
1 Mechanics of Solids

Citations by Year