×

zbMATH — the first resource for mathematics

Bogdanov, Leonid Vital’evich

Compute Distance To:
Author ID: bogdanov.leonid-vitalevich Recent zbMATH articles by "Bogdanov, Leonid Vital'evich"
Published as: Bogdanov, L. V.
External Links: MGP · Math-Net.Ru · Wikidata · ORCID
Documents Indexed: 43 Publications since 1987, including 1 Book

Publications by Year

Citations contained in zbMATH

30 Publications have been cited 216 times in 155 Documents Cited by Year
The non-local \({\bar \partial}\) problem and \((2+1)\)-dimensional soliton equations. Zbl 0662.35112
Bogdanov, L. V.; Manakov, S. V.
28
1988
Veselov-Novikov equation as a natural two-dimensional generalization of the Korteweg-de Vries equation. Zbl 0639.35072
Bogdanov, L. V.
22
1987
Lattice and \(q\)-difference Darboux-Zakharov-Manakov systems via \(\bar \partial\)-dressing method. Zbl 0854.35111
Bogdanov, L. V.; Konopelchenko, B. G.
19
1995
Dunajski generalization of the second heavenly equation: dressing method and the hierarchy. Zbl 1125.37047
Bogdanov, L. V.; Dryuma, V. S.; Manakov, S. V.
16
2007
The Boussinesq equation revisited. Zbl 0997.35068
Bogdanov, L. V.; Zakharov, V. E.
16
2002
Analytic-bilinear approach to integrable hierarchies. II: Multicomponent KP and 2D Toda lattice hierarchies. Zbl 0927.37053
Bogdanov, L. V.; Konopelchenko, B. G.
15
1998
Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type. Zbl 1209.37075
Bogdanov, L. V.; Konopelchenko, B. G.
11
2004
Grassmannians Gr\((N - 1, N + 1)\), closed differential \((N - 1)\)-forms and \(N\)-dimensional integrable systems. Zbl 1271.37040
Bogdanov, L. V.; Konopelchenko, B. G.
9
2013
A class of multidimensional integrable hierarchies and their reductions. Zbl 1177.37064
Bogdanov, L. V.
8
2009
On dispersionless BKP hierarchy and its reductions. Zbl 1362.37123
Bogdanov, L. V.; Konopelchenko, B. G.
8
2005
On the \(\overline{\delta}\)-dressing method applicable to heavenly equation. Zbl 1345.37067
Bogdanov, L. V.; Konopelchenko, B. G.
8
2005
Linearly degenerate hierarchies of quasiclassical SDYM type. Zbl 1377.37093
Bogdanov, L. V.; Pavlov, M. V.
7
2017
On the heavenly equation hierarchy and its reductions. Zbl 1099.37049
Bogdanov, L. V.; Konopelchenko, B. G.
6
2006
Generalized integrable hierarchies and Combescure symmetry transformations. Zbl 1001.37501
Bogdanov, L. V.; Konopelchenko, B. G.
6
1997
Non-Hamiltonian generalizations of the dispersionless 2DTL hierarchy. Zbl 1208.37040
Bogdanov, L. V.
5
2010
Nonlinear Beltrami equation and \(\tau \)-function for dispersionless hierarchies. Zbl 1118.81314
Bogdanov, L. V.; Konopelchenko, B. G.
4
2004
Generalized KP hierarchy: Möbius symmetry, symmetry constraints and Calogero-Moser system. Zbl 0988.37085
Bogdanov, L. V.; Konopelchenko, B. G.
4
2001
Analytic-bilinear approach to integrable hierarchies. I: Generalized KP hierarchy. Zbl 0927.37052
Bogdanov, L. V.; Konopelchenko, B. G.
4
1998
Semiclassical \(\overline\partial \)-method: generating equations for dispersionless integrable hierarchies. Zbl 1068.37048
Bogdanov, L. V.; Konopelchenko, B. G.; Martínez Alonso, L.
3
2003
Analytic-bilinear approach to integrable hierarchies. Zbl 0942.37048
Bogdanov, L. V.
3
1999
Doubrov-Ferapontov general heavenly equation and the hyper-Kähler hierarchy. Zbl 1346.83010
Bogdanov, L. V.
2
2015
On a class of reductions of the Manakov-Santini hierarchy connected with the interpolating system. Zbl 1186.37073
Bogdanov, L. V.
2
2010
Generalized Hirota bilinear identity and integrable \(q\)-difference and lattice hierarchies. Zbl 1194.39013
Bogdanov, L. V.
2
1995
Nonlocal \({\bar \partial}\)-problem and \((2+1)\)-dimensional soliton equations. Zbl 0682.35092
Bogdanov, L. V.; Manakov, S. V.
2
1988
SDYM equations on the self-dual background. Zbl 1390.81304
Bogdanov, L. V.
1
2017
Projective differential geometry of higher reductions of the two-dimensional Dirac equation. Zbl 1087.53017
Bogdanov, L. V.; Ferapontov, E. V.
1
2004
A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type. Zbl 0965.37045
Bogdanov, L. V.; Ferapontov, E. V.
1
1998
Integrable \((1+1)\)-dimensional systems and the Riemann problem with a shift. Zbl 0811.35094
Bogdanov, L. V.; Zakharov, V. E.
1
1994
Decreasing solutions and dispersion laws in the \((2n+1)\)-dimensional dressing method. Zbl 0791.35110
Bogdanov, L. V.; Zakharov, V. E.
1
1991
On the two-dimensional Zakharov-Shabat problem. Zbl 0639.35067
Bogdanov, L. V.
1
1987
Linearly degenerate hierarchies of quasiclassical SDYM type. Zbl 1377.37093
Bogdanov, L. V.; Pavlov, M. V.
7
2017
SDYM equations on the self-dual background. Zbl 1390.81304
Bogdanov, L. V.
1
2017
Doubrov-Ferapontov general heavenly equation and the hyper-Kähler hierarchy. Zbl 1346.83010
Bogdanov, L. V.
2
2015
Grassmannians Gr\((N - 1, N + 1)\), closed differential \((N - 1)\)-forms and \(N\)-dimensional integrable systems. Zbl 1271.37040
Bogdanov, L. V.; Konopelchenko, B. G.
9
2013
Non-Hamiltonian generalizations of the dispersionless 2DTL hierarchy. Zbl 1208.37040
Bogdanov, L. V.
5
2010
On a class of reductions of the Manakov-Santini hierarchy connected with the interpolating system. Zbl 1186.37073
Bogdanov, L. V.
2
2010
A class of multidimensional integrable hierarchies and their reductions. Zbl 1177.37064
Bogdanov, L. V.
8
2009
Dunajski generalization of the second heavenly equation: dressing method and the hierarchy. Zbl 1125.37047
Bogdanov, L. V.; Dryuma, V. S.; Manakov, S. V.
16
2007
On the heavenly equation hierarchy and its reductions. Zbl 1099.37049
Bogdanov, L. V.; Konopelchenko, B. G.
6
2006
On dispersionless BKP hierarchy and its reductions. Zbl 1362.37123
Bogdanov, L. V.; Konopelchenko, B. G.
8
2005
On the \(\overline{\delta}\)-dressing method applicable to heavenly equation. Zbl 1345.37067
Bogdanov, L. V.; Konopelchenko, B. G.
8
2005
Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type. Zbl 1209.37075
Bogdanov, L. V.; Konopelchenko, B. G.
11
2004
Nonlinear Beltrami equation and \(\tau \)-function for dispersionless hierarchies. Zbl 1118.81314
Bogdanov, L. V.; Konopelchenko, B. G.
4
2004
Projective differential geometry of higher reductions of the two-dimensional Dirac equation. Zbl 1087.53017
Bogdanov, L. V.; Ferapontov, E. V.
1
2004
Semiclassical \(\overline\partial \)-method: generating equations for dispersionless integrable hierarchies. Zbl 1068.37048
Bogdanov, L. V.; Konopelchenko, B. G.; Martínez Alonso, L.
3
2003
The Boussinesq equation revisited. Zbl 0997.35068
Bogdanov, L. V.; Zakharov, V. E.
16
2002
Generalized KP hierarchy: Möbius symmetry, symmetry constraints and Calogero-Moser system. Zbl 0988.37085
Bogdanov, L. V.; Konopelchenko, B. G.
4
2001
Analytic-bilinear approach to integrable hierarchies. Zbl 0942.37048
Bogdanov, L. V.
3
1999
Analytic-bilinear approach to integrable hierarchies. II: Multicomponent KP and 2D Toda lattice hierarchies. Zbl 0927.37053
Bogdanov, L. V.; Konopelchenko, B. G.
15
1998
Analytic-bilinear approach to integrable hierarchies. I: Generalized KP hierarchy. Zbl 0927.37052
Bogdanov, L. V.; Konopelchenko, B. G.
4
1998
A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type. Zbl 0965.37045
Bogdanov, L. V.; Ferapontov, E. V.
1
1998
Generalized integrable hierarchies and Combescure symmetry transformations. Zbl 1001.37501
Bogdanov, L. V.; Konopelchenko, B. G.
6
1997
Lattice and \(q\)-difference Darboux-Zakharov-Manakov systems via \(\bar \partial\)-dressing method. Zbl 0854.35111
Bogdanov, L. V.; Konopelchenko, B. G.
19
1995
Generalized Hirota bilinear identity and integrable \(q\)-difference and lattice hierarchies. Zbl 1194.39013
Bogdanov, L. V.
2
1995
Integrable \((1+1)\)-dimensional systems and the Riemann problem with a shift. Zbl 0811.35094
Bogdanov, L. V.; Zakharov, V. E.
1
1994
Decreasing solutions and dispersion laws in the \((2n+1)\)-dimensional dressing method. Zbl 0791.35110
Bogdanov, L. V.; Zakharov, V. E.
1
1991
The non-local \({\bar \partial}\) problem and \((2+1)\)-dimensional soliton equations. Zbl 0662.35112
Bogdanov, L. V.; Manakov, S. V.
28
1988
Nonlocal \({\bar \partial}\)-problem and \((2+1)\)-dimensional soliton equations. Zbl 0682.35092
Bogdanov, L. V.; Manakov, S. V.
2
1988
Veselov-Novikov equation as a natural two-dimensional generalization of the Korteweg-de Vries equation. Zbl 0639.35072
Bogdanov, L. V.
22
1987
On the two-dimensional Zakharov-Shabat problem. Zbl 0639.35067
Bogdanov, L. V.
1
1987
all top 5

Cited by 163 Authors

12 Ferapontov, Evgeny Vladimirovich
11 Konopelchenko, Boris Georgievich
9 Bogdanov, Leonid Vital’evich
9 Pogrebkov, Andrei K.
9 Zenchuk, Alexandre I.
8 Doliwa, Adam
8 Pavlov, Maxim V.
6 Dubrovsky, V. G.
6 Prykarpatsky, Anatoliy Karolevych
5 Prykarpatsky, Yarema Anatoliyovych
5 Schief, Wolfgang Karl
4 Blackmore, Denis L.
4 Dunajski, Maciej
4 Morozov, Oleg I.
4 Santini, Paolo Maria
4 Zhu, Junyi
3 Bridges, Thomas J.
3 Chang, Jen-Hsu
3 Chen, Yu-Tung
3 Grinevich, Pëtr Georgievich
3 Khabibullin, Ismagil Talgatovich
3 Mañas, Manuel
3 Sergeev, Sergeĭ Mikhaĭlovich
3 Taimanov, Iskander Asanovich
2 Błaszak, Maciej
2 Bobenko, Alexander Ivanovich
2 Chesnokov, Alexander A.
2 Dimakis, Aristophanes
2 Doubrov, Boris M.
2 Hentosh, Oksana E.
2 Hentosh, Oksana Ye.
2 Khusnutdinova, Karima Robertovna
2 Korotyaev, Evgeny L.
2 Kruglikov, Boris S.
2 Kuang, Yonghui
2 Kulaev, Ruslan Chermenovich
2 Kuznetsova, Mariya Nikolaevna
2 Lelito, Aleksandra
2 Müller-Hoissen, Folkert
2 Novikov, Vladimir S.
2 Poptsova, Mariya Nikolaevna
2 Ratliff, Daniel J.
2 Rogers, Colin
2 Shabat, Alekseĭ Borisovich
2 Stoilov, Nikola M.
2 Suris, Yuri Borisovich
2 Szablikowski, Błażej M.
2 Topovsky, A. V.
2 Tsarev, Sergej Petrovich
2 Tu, Minghsien
1 Adler, Vsevolod Eduardovich
1 Anco, Stephen C.
1 Angelopoulos, Yannis
1 Ariznabarreta, Gerardo
1 Artemovych, Orest D.
1 Athorne, Chris
1 Atiyah, Michael Francis
1 Badanin, Andrey
1 Bai, Yang
1 Bakholdin, Igor B.
1 Basalaev, M. Yu.
1 Başar, Gökçe
1 Bhat, Vishesh S.
1 Boiti, Marco
1 Burovskiy, P. A.
1 Cieśliński, Jan L.
1 Danlybaeva, A. K.
1 Dunne, Gerald V.
1 Eilbeck, John Chris
1 El, Gennady A.
1 Engelbrecht, Jüri
1 Enolskiĭ, Viktor Zelikovich
1 Fan, Engui
1 Ferguson, James T.
1 Folguera, Alejandra
1 Gandarias Núñez, Maria Luz
1 Gao, Yitian
1 García-Ardila, Juan Carlos
1 Gavrilyuk, Sergey L.
1 Geng, Xianguo
1 Gramolin, A. V.
1 Gutowski, Jan B.
1 Haribaskar, R.
1 He, Jingsong
1 Kaptsov, D. O.
1 Kaptsov, Oleg V.
1 Kazeykina, Anna
1 Klein, Christian
1 Kobus, Artur
1 Kryński, Wojciech
1 Kurmanbayev, Damir
1 Lambert, Franklin
1 Lassas, Matti
1 Lee, Jyhhao
1 Lee, Niann-Chern
1 Li, Chuanzhong
1 Li, Chunxia
1 Lin, Guo-Dong
1 Lin, Runliang
1 Lou, Senyue
...and 63 more Authors
all top 5

Cited in 53 Serials

28 Journal of Mathematical Physics
19 Theoretical and Mathematical Physics
18 Journal of Geometry and Physics
7 Journal of Nonlinear Mathematical Physics
5 Communications in Mathematical Physics
5 Studies in Applied Mathematics
5 Physica D
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal of Differential Equations
3 Acta Applicandae Mathematicae
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Physics Letters. A
2 Reports on Mathematical Physics
2 Applied Mathematics and Computation
2 SIAM Journal on Applied Mathematics
2 Mathematical Physics, Analysis and Geometry
2 Journal of Physics A: Mathematical and Theoretical
2 Advances in Mathematical Physics
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Symmetry
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Physics Letters. B
1 Ukrainian Mathematical Journal
1 Wave Motion
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Tohoku Mathematical Journal. Second Series
1 Applied Mathematics Letters
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Computational Mathematics and Mathematical Physics
1 Russian Mathematics
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Doklady Mathematics
1 Journal of Applied Mechanics and Technical Physics
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of High Energy Physics
1 Czechoslovak Journal of Physics
1 JP Journal of Geometry and Topology
1 Communications on Pure and Applied Analysis
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Biological Dynamics
1 Communications in Theoretical Physics
1 Mathematics
1 European Journal of Mathematics

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.