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Khusnutdinova, Karima Robertovna

Author ID: khusnutdinova.karima-robertovna Recent zbMATH articles by "Khusnutdinova, Karima Robertovna"
Published as: Khusnutdinova, K. R.; Khusnutdinova, Karima R.; Khusnutdinova, Karima; Khusnutdinova, Karima Robertovna

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 375 times in 222 Documents Cited by Year
On the integrability of \((2+1)\)-dimensional quasilinear systems. Zbl 1070.37047
Ferapontov, E. V.; Khusnutdinova, K. R.
76
2004
On the exchange of energy in coupled Klein — Gordon equations. Zbl 1163.74380
Khusnutdinova, K. R.; Pelinovsky, D. E.
35
2003
Hydrodynamic reductions of multidimensional dispersionless PDEs: the test for integrability. Zbl 1071.35118
Ferapontov, E. V.; Khusnutdinova, K. R.
31
2004
The characterization of two-component \((2+1)\)-dimensional integrable systems of hydrodynamic type. Zbl 1040.35042
Ferapontov, E. V.; Khusnutdinova, K. R.
29
2004
On a class of three-dimensional integrable Lagrangians. Zbl 1108.37045
Ferapontov, E. V.; Khusnutdinova, K. R.; Tsarev, S. P.
20
2006
Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian. Zbl 1203.35215
Ferapontov, Evgeny Vladimirovich; Hadjikos, Lenos; Khusnutdinova, Karima Robertovna
18
2010
The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability. Zbl 1149.37322
Ferapontov, E.v.; Khusnutdinova, K. R.
14
2006
Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies. Zbl 1178.37072
Ferapontov, E. V.; Khusnutdinova, K. R.; Pavlov, M. V.
12
2005
Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations. Zbl 1365.35138
Khusnutdinova, K. R.; Moore, K. R.
11
2011
On linear degeneracy of integrable quasilinear systems in higher dimensions. Zbl 1217.35114
Ferapontov, Evgeny V.; Khusnutdinova, Karima R.; Klein, Christian
10
2011
On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations. Zbl 1390.35309
Khusnutdinova, K. R.; Tranter, M. R.
10
2017
Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system. Zbl 1091.35081
Griffiths, S. D.; Grimshaw, R. H. J.; Khusnutdinova, K. R.
9
2006
Nonlinear dynamics of coupled chains of particles. Zbl 0900.70082
Akhatov, I. Sh.; Baĭkov, V. A.; Khusnutdinova, K. R.
9
1995
Modelling of nonlinear wave scattering in a delaminated elastic bar. Zbl 1371.74155
Khusnutdinova, K. R.; Tranter, M. R.
9
2015
On strongly interacting internal waves in a rotating Ocean and coupled Ostrovsky equations. Zbl 1331.37127
Alias, A.; Grimshaw, R. H. J.; Khusnutdinova, K. R.
9
2013
On Boussinesq-type models for long longitudinal waves in elastic rods. Zbl 1524.74201
Garbuzov, F. E.; Khusnutdinova, K. R.; Semenova, I. V.
7
2019
The influence of modulational instability on energy exchange in coupled sine-Gordon equations. Zbl 1178.35330
Griffiths, S. D.; Grimshaw, R. H. J.; Khusnutdinova, K. R.
6
2003
Long ring waves in a stratified fluid over a shear flow. Zbl 1445.86003
Khusnutdinova, Karima R.; Zhang, Xizheng
6
2016
Nonlinear ring waves in a two-layer fluid. Zbl 1415.76073
Khusnutdinova, Karima R.; Zhang, Xizheng
6
2016
Validity of the weakly nonlinear solution of the Cauchy problem for the Boussinesq-type equation. Zbl 1297.35187
Khusnutdinova, K. R.; Moore, K. R.; Pelinovsky, D. E.
6
2014
Radiating solitary waves in coupled Boussinesq equations. Zbl 1404.35089
Grimshaw, R. H. J.; Khusnutdinova, K. R.; Moore, K. R.
5
2017
On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation. Zbl 1319.37044
Khusnutdinova, K. R.; Klein, C.; Matveev, V. B.; Smirnov, A. O.
5
2013
Nonlinear long-wave models for imperfectly bonded layered waveguides. Zbl 1255.78023
Khusnutdinova, K. R.; Samsonov, A. M.; Zakharov, A. S.
3
2009
Lattice modelling of nonlinear waves in a bi-layer with delamination. Zbl 1153.74384
Khusnutdinova, Karima R.; Silberschmidt, Vadim V.
3
2003
Structure formation in the oceanic subsurface bubble layer by an internal wave field. Zbl 1308.86004
Grimshaw, R. H. J.; Khusnutdinova, K. R.; Ostrovsky, L. A.; Topolnikov, A. S.
3
2010
Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt’s brackets. Zbl 1112.37056
Ferapontov, E. V.; Khusnutdinova, K. R.; Marshall, D. G.; Pavlov, M. V.
3
2006
Weakly non-linear extension of d’Alembert’s formula. Zbl 1250.35154
Khusnutdinova, K. R.; Moore, K. R.
3
2012
D’Alembert-type solution of the Cauchy problem for the Boussinesq-Klein-Gordon equation. Zbl 1418.35306
Khusnutdinova, Karima R.; Tranter, Matthew R.
3
2019
The effect of a depth-dependent bubble distribution on the normal modes of internal waves: quasistatic approximation. Zbl 1181.76040
Grimshaw, R. H. J.; Khusnutdinova, K. R.; Ostrovsky, L. A.
2
2008
Nonlinear waves in a double-row particle system. Zbl 0776.73019
Khusnutdinova, K. R.
2
1992
Formal linearization and exact solutions of some nonlinear partial differential equations. Zbl 1044.35507
Baikov, V. A.; Khusnutdinova, K. R.
2
1996
Wavefronts and modal structure of long surface and internal ring waves on a parallel shear current. Zbl 1481.76056
Hooper, Curtis; Khusnutdinova, Karima; Grimshaw, Roger
2
2021
Weakly-nonlinear solution of coupled Boussinesq equations and radiating solitary waves. Zbl 1429.35180
Khusnutdinova, K. R.; Tranter, M. R.
1
2019
Second harmonic generation: Hamiltonian structures and particular solutions. Zbl 0927.37035
Khusnutdinova, K. R.; Steudel, H.
1
1998
Nonlinear longitudinal bulk strain waves in layered elastic waveguides. Zbl 1447.35316
Khusnutdinova, Karima R.; Tranter, Matthew R.
1
2019
Exact solutions describing interaction of solitary waves of non-integrable equations. Zbl 0926.35134
Khusnutdinova, Karima R.
1
1998
Internal ring waves in a three-layer fluid on a current with a constant vertical shear. Zbl 1524.76119
Tseluiko, D.; Alharthi, N. S.; Barros, R.; Khusnutdinova, K. R.
1
2023
Special issue of Wave Motion – “Nonlinear waves in solids: in memory of Alexander M. Samsonov”. Zbl 1457.00056
1
2020
Internal ring waves in a three-layer fluid on a current with a constant vertical shear. Zbl 1524.76119
Tseluiko, D.; Alharthi, N. S.; Barros, R.; Khusnutdinova, K. R.
1
2023
Wavefronts and modal structure of long surface and internal ring waves on a parallel shear current. Zbl 1481.76056
Hooper, Curtis; Khusnutdinova, Karima; Grimshaw, Roger
2
2021
Special issue of Wave Motion – “Nonlinear waves in solids: in memory of Alexander M. Samsonov”. Zbl 1457.00056
1
2020
On Boussinesq-type models for long longitudinal waves in elastic rods. Zbl 1524.74201
Garbuzov, F. E.; Khusnutdinova, K. R.; Semenova, I. V.
7
2019
D’Alembert-type solution of the Cauchy problem for the Boussinesq-Klein-Gordon equation. Zbl 1418.35306
Khusnutdinova, Karima R.; Tranter, Matthew R.
3
2019
Weakly-nonlinear solution of coupled Boussinesq equations and radiating solitary waves. Zbl 1429.35180
Khusnutdinova, K. R.; Tranter, M. R.
1
2019
Nonlinear longitudinal bulk strain waves in layered elastic waveguides. Zbl 1447.35316
Khusnutdinova, Karima R.; Tranter, Matthew R.
1
2019
On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations. Zbl 1390.35309
Khusnutdinova, K. R.; Tranter, M. R.
10
2017
Radiating solitary waves in coupled Boussinesq equations. Zbl 1404.35089
Grimshaw, R. H. J.; Khusnutdinova, K. R.; Moore, K. R.
5
2017
Long ring waves in a stratified fluid over a shear flow. Zbl 1445.86003
Khusnutdinova, Karima R.; Zhang, Xizheng
6
2016
Nonlinear ring waves in a two-layer fluid. Zbl 1415.76073
Khusnutdinova, Karima R.; Zhang, Xizheng
6
2016
Modelling of nonlinear wave scattering in a delaminated elastic bar. Zbl 1371.74155
Khusnutdinova, K. R.; Tranter, M. R.
9
2015
Validity of the weakly nonlinear solution of the Cauchy problem for the Boussinesq-type equation. Zbl 1297.35187
Khusnutdinova, K. R.; Moore, K. R.; Pelinovsky, D. E.
6
2014
On strongly interacting internal waves in a rotating Ocean and coupled Ostrovsky equations. Zbl 1331.37127
Alias, A.; Grimshaw, R. H. J.; Khusnutdinova, K. R.
9
2013
On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation. Zbl 1319.37044
Khusnutdinova, K. R.; Klein, C.; Matveev, V. B.; Smirnov, A. O.
5
2013
Weakly non-linear extension of d’Alembert’s formula. Zbl 1250.35154
Khusnutdinova, K. R.; Moore, K. R.
3
2012
Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations. Zbl 1365.35138
Khusnutdinova, K. R.; Moore, K. R.
11
2011
On linear degeneracy of integrable quasilinear systems in higher dimensions. Zbl 1217.35114
Ferapontov, Evgeny V.; Khusnutdinova, Karima R.; Klein, Christian
10
2011
Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian. Zbl 1203.35215
Ferapontov, Evgeny Vladimirovich; Hadjikos, Lenos; Khusnutdinova, Karima Robertovna
18
2010
Structure formation in the oceanic subsurface bubble layer by an internal wave field. Zbl 1308.86004
Grimshaw, R. H. J.; Khusnutdinova, K. R.; Ostrovsky, L. A.; Topolnikov, A. S.
3
2010
Nonlinear long-wave models for imperfectly bonded layered waveguides. Zbl 1255.78023
Khusnutdinova, K. R.; Samsonov, A. M.; Zakharov, A. S.
3
2009
The effect of a depth-dependent bubble distribution on the normal modes of internal waves: quasistatic approximation. Zbl 1181.76040
Grimshaw, R. H. J.; Khusnutdinova, K. R.; Ostrovsky, L. A.
2
2008
On a class of three-dimensional integrable Lagrangians. Zbl 1108.37045
Ferapontov, E. V.; Khusnutdinova, K. R.; Tsarev, S. P.
20
2006
The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability. Zbl 1149.37322
Ferapontov, E.v.; Khusnutdinova, K. R.
14
2006
Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system. Zbl 1091.35081
Griffiths, S. D.; Grimshaw, R. H. J.; Khusnutdinova, K. R.
9
2006
Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt’s brackets. Zbl 1112.37056
Ferapontov, E. V.; Khusnutdinova, K. R.; Marshall, D. G.; Pavlov, M. V.
3
2006
Classification of integrable \((2+1)\)-dimensional quasilinear hierarchies. Zbl 1178.37072
Ferapontov, E. V.; Khusnutdinova, K. R.; Pavlov, M. V.
12
2005
On the integrability of \((2+1)\)-dimensional quasilinear systems. Zbl 1070.37047
Ferapontov, E. V.; Khusnutdinova, K. R.
76
2004
Hydrodynamic reductions of multidimensional dispersionless PDEs: the test for integrability. Zbl 1071.35118
Ferapontov, E. V.; Khusnutdinova, K. R.
31
2004
The characterization of two-component \((2+1)\)-dimensional integrable systems of hydrodynamic type. Zbl 1040.35042
Ferapontov, E. V.; Khusnutdinova, K. R.
29
2004
On the exchange of energy in coupled Klein — Gordon equations. Zbl 1163.74380
Khusnutdinova, K. R.; Pelinovsky, D. E.
35
2003
The influence of modulational instability on energy exchange in coupled sine-Gordon equations. Zbl 1178.35330
Griffiths, S. D.; Grimshaw, R. H. J.; Khusnutdinova, K. R.
6
2003
Lattice modelling of nonlinear waves in a bi-layer with delamination. Zbl 1153.74384
Khusnutdinova, Karima R.; Silberschmidt, Vadim V.
3
2003
Second harmonic generation: Hamiltonian structures and particular solutions. Zbl 0927.37035
Khusnutdinova, K. R.; Steudel, H.
1
1998
Exact solutions describing interaction of solitary waves of non-integrable equations. Zbl 0926.35134
Khusnutdinova, Karima R.
1
1998
Formal linearization and exact solutions of some nonlinear partial differential equations. Zbl 1044.35507
Baikov, V. A.; Khusnutdinova, K. R.
2
1996
Nonlinear dynamics of coupled chains of particles. Zbl 0900.70082
Akhatov, I. Sh.; Baĭkov, V. A.; Khusnutdinova, K. R.
9
1995
Nonlinear waves in a double-row particle system. Zbl 0776.73019
Khusnutdinova, K. R.
2
1992
all top 5

Cited by 281 Authors

24 Ferapontov, Evgeny Vladimirovich
22 Khusnutdinova, Karima Robertovna
16 Pavlov, Maxim V.
11 Morozov, Oleg I.
9 Odesskii, Alexander
8 Deng, Dingwen
7 Grimshaw, Roger Hamilton James
7 Khabibullin, Ismagil Talgatovich
7 Kruglikov, Boris S.
7 Sokolov, Vladimir Vyacheslavovich
6 Novikov, Vladimir S.
5 Biondini, Gino
5 Krasil’shchik, Iosif Semënovich
5 Sergyeyev, Artur
5 Tranter, Matthew R.
4 Dunajski, Maciej
4 Grundland, Alfred Michel
4 Hoefer, Mark A.
4 Klein, Christian
4 Santini, Paolo Maria
4 Stoilov, Nikola M.
3 Garbuzov, F. E.
3 Grinevich, Pëtr Georgievich
3 Guo, Shimin
3 Mei, Liquan
3 Moro, Antonio
3 Poptsova, Mariya Nikolaevna
3 Semenova, I. V.
3 Stepanyants, Yury A.
3 Tempesta, Piergiulio
3 Tondo, Giorgio
2 Ablowitz, Mark Jay
2 Alekseevskiĭ, Dmitriĭ Vladimirovich
2 Baran, Hynek
2 Belashov, A. V.
2 Beltukov, Y. M.
2 Berjawi, S.
2 Dell’Atti, Marta
2 Doubrov, Boris M.
2 El, Gennady A.
2 Ellingsen, Simen A.
2 Ge, Yongbin
2 Huard, Benoit
2 Jiang, Yunzhi
2 Kamchatnov, Anatoly M.
2 Khakimova, Aĭgul’ Rinatovna
2 Konopelchenko, Boris Georgievich
2 Liang, Dong
2 Makridin, Zakhar V.
2 Manno, Gianni
2 Matveev, Vladimir B.
2 Moore, K. R.
2 Ovsienko, Valentin Yu.
2 Pelinovsky, Dmitry Efimovich
2 Plansangkate, Prim
2 Pugliese, Fabrizio
2 Sheftel, Mikhail B.
2 Shrira, Victor I.
2 Smirnov, Alexander O.
2 Tsarev, Sergej Petrovich
2 Verbovetsky, Alexander Moiseevich
2 Vojčák, Petr
2 Wang, Qihong
2 Yan, Wenjing
2 Yazıcı, Devrim
2 Zenchuk, Alexandre I.
2 Zhang, Xizheng
2 Zhuravlev, Viktor Mikhaĭlovich
1 Abeya, Asela
1 Adler, Vsevolod Eduardovich
1 Æsøy, Eirik
1 Akhmedova, Valeria
1 Akselsen, Andreas H.
1 Alber, Mark S.
1 Alharthi, N. S.
1 Alias, Azwani
1 Aliyu, Aliyu Isa
1 Almohsen, Bandar
1 Alonso-Mallo, Isaías
1 Alquran, Marwan Taiseer
1 Ambrosi, Davide
1 Andrianov, Igor Vasil’evich
1 Arredondo, Robert
1 Avazzadeh, Zakieh
1 Bahmani, Erfan
1 Băleanu, Dumitru I.
1 Benassi, Costanza
1 Berjamin, Harold
1 Binder, Benjamin James
1 Bivolcic, Alexander J.
1 Błaszak, Maciej
1 Blyth, Mark G.
1 Bochkarev, Andreĭ Vladimirovich
1 Bogdanov, Leonid Vital’evich
1 Bresch, Didier
1 Bulchandani, Vir B.
1 Burovskiy, P. A.
1 Calderbank, David M. J.
1 Chang, Guijuan
1 Che, Haitao
...and 181 more Authors
all top 5

Cited in 77 Serials

18 Theoretical and Mathematical Physics
15 Wave Motion
13 Journal of Mathematical Physics
11 Communications in Mathematical Physics
10 Journal of Geometry and Physics
9 Physica D
7 Letters in Mathematical Physics
7 Studies in Applied Mathematics
7 Journal of Physics A: Mathematical and Theoretical
6 Journal of Fluid Mechanics
6 Communications in Nonlinear Science and Numerical Simulation
5 Acta Applicandae Mathematicae
4 Nonlinearity
4 Applied Mathematics and Computation
4 Numerical Algorithms
4 Journal of Nonlinear Science
4 Chaos
4 Journal of Nonlinear Mathematical Physics
3 Journal of Differential Equations
3 Mathematics and Computers in Simulation
3 Physics of Fluids
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Ufimskiĭ Matematicheskiĭ Zhurnal
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Functional Analysis and its Applications
2 International Journal of Computer Mathematics
2 SIAM Journal on Applied Mathematics
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Selecta Mathematica. New Series
2 European Journal of Mechanics. B. Fluids
2 Boundary Value Problems
2 Advances in Mathematical Physics
1 International Journal of Modern Physics B
1 Acta Mechanica
1 Computer Physics Communications
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Physics Letters. B
1 Annales de l’Institut Fourier
1 Mathematische Annalen
1 Numerical Functional Analysis and Optimization
1 Applied Numerical Mathematics
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Computational Mathematics and Mathematical Physics
1 Archive of Applied Mechanics
1 SIAM Journal on Scientific Computing
1 Calculus of Variations and Partial Differential Equations
1 St. Petersburg Mathematical Journal
1 Bulletin des Sciences Mathématiques
1 Advances in Differential Equations
1 Engineering Analysis with Boundary Elements
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Lobachevskii Journal of Mathematics
1 Annales Henri Poincaré
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Analysis. Modelling and Control
1 Mathematical Modelling and Analysis
1 Advanced Nonlinear Studies
1 Central European Journal of Mathematics
1 Advances in Difference Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Chinese Journal of Physics (Taipei)
1 Analysis & PDE
1 International Journal of Biomathematics
1 Advances in Pure and Applied Mathematics
1 Analysis and Mathematical Physics
1 Electronic Research Archive
1 Water Waves

Citations by Year