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## Khesin, Boris A.

Compute Distance To:
 Author ID: khesin.boris-a Published as: Khesin, Boris; Khesin, B. A.; Khesin, Boris A.; Khesin, B. Homepage: http://www.math.toronto.edu/khesin/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
 Documents Indexed: 90 Publications since 1986, including 6 Books
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#### Co-Authors

 23 single-authored 9 Misiołek, Gerard 9 Tabachnikov, Serge L. 6 Ovsienko, Valentin Yu. 5 Rosly, Alexei 4 Izosimov, Anton 4 Soloviev, Fedor 3 Chekanov, Yu. V. 3 Lenells, Jonatan 3 Modin, Klas 3 Shapiro, Boris Zalmanovich 2 Arnol’d, Vladimir Igorevich 2 Ginzburg, Viktor L’vovich 2 Khovanskiĭ, Askold Georgievich 2 Kuksin, Sergeĭ B. 2 Malikov, Fyodor 2 Peralta-Salas, Daniel 2 Preston, Stephen C. 2 Roger, Claude 2 Wendt, Robert 2 Yang, Cheng 2 Zakharevich, Ilya 1 Bakas, Ioannis 1 Berry, Michael Victor 1 Bierstone, Edward 1 Donin, Dmitry 1 Eliashberg, Yakov Matveevich 1 Etingof, Pavel Il’ich 1 Fialowski, Alice 1 Frenkel, Igor B. 1 Fuchs, Dmitry Borisovich 1 Fuchs, Ekaterina 1 Fuchs, Elena D. 1 Genin, Daniel 1 Hofer, Helmut H. W. 1 Ilyashenko, Yulij Sergeevich 1 Kirillov, Alexandre Aleksandrovich 1 Kiritsis, Elias B. 1 Kravchenko, O. S. 1 Lalonde, François 1 Levin, Andrey M. 1 Lyubashenko, Volodymyr V. 1 Marsden, Jerrold Eldon 1 Michor, Peter Wolfram 1 Olshanetsky, Mikhail A. 1 Sevryuk, Mikhail Borisovich 1 Smale, Steve 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Thomas, Richard Paul 1 Varchenko, Alexander Nikolaevich 1 Vasil’ev, Viktor Anatol’evich
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#### Serials

 7 Communications in Mathematical Physics 4 Journal of Geometry and Physics 4 Advances in Mathematics 4 Functional Analysis and its Applications 3 Russian Mathematical Surveys 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Geometric and Functional Analysis. GAFA 3 Notices of the American Mathematical Society 3 Moscow Mathematical Journal 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Physica D 2 IMRN. International Mathematics Research Notices 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Fields Institute Communications 1 Letters in Mathematical Physics 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Functional Analysis 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Topology 1 L’Enseignement Mathématique. 2e Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Algebraic Geometry 1 Séminaire Équations aux Dérivées Partielles 1 Journal of Mathematical Sciences (New York) 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 The Journal of Symplectic Geometry 1 Pure and Applied Mathematics Quarterly 1 Applied Mathematical Sciences 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Proceedings of the Steklov Institute of Mathematics 1 Electronic Research Announcements in Mathematical Sciences
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#### Fields

 46 Dynamical systems and ergodic theory (37-XX) 33 Global analysis, analysis on manifolds (58-XX) 26 Fluid mechanics (76-XX) 23 Partial differential equations (35-XX) 19 Differential geometry (53-XX) 15 Nonassociative rings and algebras (17-XX) 11 Manifolds and cell complexes (57-XX) 7 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Topological groups, Lie groups (22-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Algebraic topology (55-XX) 4 Quantum theory (81-XX) 3 Geometry (51-XX) 3 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

67 Publications have been cited 1,136 times in 848 Documents Cited by Year
Topological methods in hydrodynamics. Zbl 0902.76001
Arnold, V. I.; Khesin, B. A.
1998
Euler equations on homogeneous spaces and Virasoro orbits. Zbl 1017.37039
Khesin, Boris; Misiołek, Gerard
2003
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
2008
The geometry of infinite-dimensional groups. Zbl 1160.22001
Khesin, Boris; Wendt, Robert
2009
Topological methods in hydrodynamics. Zbl 0743.76019
Arnold, V. I.; Khesin, B. A.
1992
Korteweg - de Vries suoerequation as an Euler equation. Zbl 0655.58018
Ovsienko, V. Yu.; Khesin, B. A.
1987
Pseudo-Riemannian geodesics and billiards. Zbl 1173.37037
Khesin, Boris; Tabachnikov, Serge
2009
A central extension of the algebra of pseudodifferential symbols. Zbl 0729.35154
Kravchenko, O. S.; Khesin, B. A.
1991
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
2013
Extensions and contractions of the Lie algebra of $$q$$-pseudodifferential symbols on the circle. Zbl 0872.35138
Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude
1997
The Korteweg-de Vries superequation as Euler equation. Zbl 0639.58019
Ovsienko, V. Yu.; Khesin, B. A.
1987
Symplectic leaves of the Gel’fand-Dikij brackets and homotopy classes of nondegenerate curves. Zbl 0723.58021
Ovsienko, V. Yu.; Khesin, B. A.
1990
Invariants of the Euler equations for ideal or barotropic hydrodynamics and superconductivity in $$D$$ dimensions. Zbl 0820.58019
Khesin, B. A.; Chekanov, Yu. V.
1989
Poisson-Lie group of pseudodifferential symbols. Zbl 0838.58040
Khesin, Boris; Zakharevich, Ilya
1995
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
2013
Geodesics on an ellipsoid in Minkowski space. Zbl 1144.37013
Genin, Daniel; Khesin, Boris; Tabachnikov, Serge
2007
Integrability of higher pentagram maps. Zbl 1280.37056
Khesin, Boris; Soloviev, Fedor
2013
Universal Drinfeld-Sokolov reduction and matrices of complex size. Zbl 0846.58027
Khesin, Boris; Malikov, Feodor
1996
Poisson-Lie group of pseudodifferential symbols and fractional KP-KdV hierarchies. Zbl 0771.35056
Khesin, Boris; Zakharevich, Ilya
1993
The logarithm of the derivative operator and higher spin algebras of $$W_{\infty{}}$$ type. Zbl 0765.35049
Bakas, Ioannis; Khesin, Boris; Kiritsis, Elias
1993
Symplectic structures and dynamics on vortex membranes. Zbl 1258.35162
Khesin, Boris
2012
Topological Fluid Dynamics. Zbl 1078.37048
Khesin, Boris
2005
A nonholonomic Moser theorem and optimal transport. Zbl 1247.58005
Khesin, Boris; Lee, Paul
2009
The geometry of dented pentagram maps. Zbl 1350.37065
Khesin, Boris; Soloviev, Fedor
2016
Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus. Zbl 1074.37032
Khesin, B.; Levin, A.; Olshanetsky, M.
2004
Nondegenerate curves on $$S^ 2$$ and orbit classification of the Zamolodchikov algebra. Zbl 0849.17026
Khesin, B. A.; Shapiro, B. Z.
1992
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2014
Contact complete integrability. Zbl 1203.37094
Khesin, B.; Tabachnikov, Serge
2010
The pentagram map in higher dimensions and KdV flows. Zbl 1257.37046
Khesin, Boris; Soloviev, Fedor
2012
The geometry of infinite-dimensional groups. Zbl 1153.22001
Khesin, Boris; Wendt, Robert
2009
Steady fluid flows and symplectic geometry. Zbl 0805.58023
Ginzburg, Viktor L.; Khesin, Boris
1994
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
2018
Affine Gelfand-Dickey brackets and holomorphic vector bundles. Zbl 0809.58011
Etingof, P. I.; Khesin, B. A.
1994
Homotopy classification of nondegenerate quasiperiodic curves on the 2-sphere. Zbl 1274.53055
Shapiro, B. Z.; Khesin, B. A.
1999
Swallowtails and Whitney umbrellas are homeomorphic. Zbl 0790.57019
Shapiro, B. Z.; Khesin, B. A.
1992
Topology of steady fluid flows. Zbl 0789.76014
Ginzburg, Viktor L.; Khesin, Boris
1992
Geometry of higher helicities. Zbl 1156.55300
Khesin, Boris A.
2003
Shock waves for the Burgers equation and curvatures of diffeomorphism groups. Zbl 1161.35464
Khesin, B.; Misiołek, G.
2007
Singularities of light hypersurfaces and structure of hyperbolicity sets for systems of partial differential equations. Zbl 0747.35019
Khesin, B. A.
1990
A hierarchy of centrally extended algebras and the logarithm of the derivative operator. Zbl 0761.17022
Khesin, Boris
1992
Non-integrability vs. integrability in pentagram maps. Zbl 1318.37025
Khesin, Boris; Soloviev, Fedor
2015
Integrals of the Euler equations of multidimensional hydrodynamics and superconductivity. Zbl 0779.76103
Ovsienko, V. Yu.; Khesin, B. A.; Chekanov, Yu. V.
1989
Four dimensional realization of two dimensional current groups. Zbl 0858.22017
Frenkel, Igor B.; Khesin, Boris A.
1996
The flow completion of the Burgers equation. Zbl 1062.37100
Khesin, Boris A.; Michor, Peter W.
2004
A polar de Rham theorem. Zbl 1060.14013
Khesin, Boris; Rosly, Alexei; Thomas, Richard
2004
Ergodic interpretation of integral hydrodynamic invariants. Zbl 0742.57020
Khesin, B. A.
1992
Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics. (Orbites coadjointes des difféomorphismes symplectiques des surfaces et hydrodynamique idéale.) Zbl 1372.37106
Izosimov, Anton; Khesin, Boris; Mousavi, Mehdi
2016
Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces. Zbl 1004.53061
Khesin, Boris; Rosly, Alexei
1999
Polar homology. Zbl 1041.32016
Khesin, Boris; Rosly, Alexei
2003
Dynamics of symplectic fluids and point vortices. Zbl 1307.76008
Khesin, Boris
2012
Polar homology and holomorphic bundles. Zbl 0996.32012
Khesin, Boris; Rosly, Alexei
2001
Invariants of Hamiltonian KdV-structures. Zbl 0727.58019
Khesin, B. A.
1990
Asymptotic directions, Monge-Ampère equations and the geometry of diffeomorphism groups. Zbl 1081.76011
Khesin, Boris; Misiołek, Gerard
2005
Poisson geometry and first integrals of geostrophic equations. Zbl 1143.76413
Khesin, Boris; Lee, Paul
2008
Geometry of the Madelung transform. Zbl 1425.53107
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2019
Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations. Zbl 1459.76032
Khesin, Boris; Yang, Cheng
2021
Arnold: swimming against the tide. Zbl 1305.01045
Khesin, Boris A. (ed.); Tabachnikov, Serge L. (ed.)
2014
Averaging, symplectic reduction, and central extensions. Zbl 07166292
Yang, Cheng; Khesin, Boris
2020
Bifurcations in gradient dynamical systems. Zbl 0900.58027
Khesin, B. A.
1988
Discrete spherical means of directional derivatives and Veronese maps. Zbl 1239.65019
Belyaev, Alexander; Khesin, Boris; Tabachnikov, Serge
2012
Bifurcation of singular points of gradient dynamical systems. Zbl 0625.58011
Khesin, B. A.
1986
Pseudodifferential symbols on Riemann surfaces and Krichever-Novikov algebras. Zbl 1140.17019
Donin, Dmitry; Khesin, Boris
2007
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2020
Characterization of steady solutions to the 2D Euler equation. Zbl 1405.35151
Izosimov, Anton; Khesin, Boris
2017
Classification of Casimirs in 2D hydrodynamics. Zbl 1415.76518
Izosimov, Anton; Khesin, Boris
2017
Vortex sheets and diffeomorphism groupoids. Zbl 1442.76001
Izosimov, Anton; Khesin, Boris
2018
Fun problems in geometry and beyond. Zbl 1431.00002
Khesin, Boris; Tabachnikov, Serge
2019
Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations. Zbl 1459.76032
Khesin, Boris; Yang, Cheng
2021
Averaging, symplectic reduction, and central extensions. Zbl 07166292
Yang, Cheng; Khesin, Boris
2020
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2020
Geometry of the Madelung transform. Zbl 1425.53107
Khesin, Boris; Misiołek, Gerard; Modin, Klas
2019
Fun problems in geometry and beyond. Zbl 1431.00002
Khesin, Boris; Tabachnikov, Serge
2019
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
2018
Vortex sheets and diffeomorphism groupoids. Zbl 1442.76001
Izosimov, Anton; Khesin, Boris
2018
Characterization of steady solutions to the 2D Euler equation. Zbl 1405.35151
Izosimov, Anton; Khesin, Boris
2017
Classification of Casimirs in 2D hydrodynamics. Zbl 1415.76518
Izosimov, Anton; Khesin, Boris
2017
The geometry of dented pentagram maps. Zbl 1350.37065
Khesin, Boris; Soloviev, Fedor
2016
Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics. (Orbites coadjointes des difféomorphismes symplectiques des surfaces et hydrodynamique idéale.) Zbl 1372.37106
Izosimov, Anton; Khesin, Boris; Mousavi, Mehdi
2016
Non-integrability vs. integrability in pentagram maps. Zbl 1318.37025
Khesin, Boris; Soloviev, Fedor
2015
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2014
Arnold: swimming against the tide. Zbl 1305.01045
Khesin, Boris A.; Tabachnikov, Serge L.
2014
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
2013
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
2013
Integrability of higher pentagram maps. Zbl 1280.37056
Khesin, Boris; Soloviev, Fedor
2013
Symplectic structures and dynamics on vortex membranes. Zbl 1258.35162
Khesin, Boris
2012
The pentagram map in higher dimensions and KdV flows. Zbl 1257.37046
Khesin, Boris; Soloviev, Fedor
2012
Dynamics of symplectic fluids and point vortices. Zbl 1307.76008
Khesin, Boris
2012
Discrete spherical means of directional derivatives and Veronese maps. Zbl 1239.65019
Belyaev, Alexander; Khesin, Boris; Tabachnikov, Serge
2012
Contact complete integrability. Zbl 1203.37094
Khesin, B.; Tabachnikov, Serge
2010
The geometry of infinite-dimensional groups. Zbl 1160.22001
Khesin, Boris; Wendt, Robert
2009
Pseudo-Riemannian geodesics and billiards. Zbl 1173.37037
Khesin, Boris; Tabachnikov, Serge
2009
A nonholonomic Moser theorem and optimal transport. Zbl 1247.58005
Khesin, Boris; Lee, Paul
2009
The geometry of infinite-dimensional groups. Zbl 1153.22001
Khesin, Boris; Wendt, Robert
2009
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
2008
Poisson geometry and first integrals of geostrophic equations. Zbl 1143.76413
Khesin, Boris; Lee, Paul
2008
Geodesics on an ellipsoid in Minkowski space. Zbl 1144.37013
Genin, Daniel; Khesin, Boris; Tabachnikov, Serge
2007
Shock waves for the Burgers equation and curvatures of diffeomorphism groups. Zbl 1161.35464
Khesin, B.; Misiołek, G.
2007
Pseudodifferential symbols on Riemann surfaces and Krichever-Novikov algebras. Zbl 1140.17019
Donin, Dmitry; Khesin, Boris
2007
Topological Fluid Dynamics. Zbl 1078.37048
Khesin, Boris
2005
Asymptotic directions, Monge-Ampère equations and the geometry of diffeomorphism groups. Zbl 1081.76011
Khesin, Boris; Misiołek, Gerard
2005
Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus. Zbl 1074.37032
Khesin, B.; Levin, A.; Olshanetsky, M.
2004
The flow completion of the Burgers equation. Zbl 1062.37100
Khesin, Boris A.; Michor, Peter W.
2004
A polar de Rham theorem. Zbl 1060.14013
Khesin, Boris; Rosly, Alexei; Thomas, Richard
2004
Euler equations on homogeneous spaces and Virasoro orbits. Zbl 1017.37039
Khesin, Boris; Misiołek, Gerard
2003
Geometry of higher helicities. Zbl 1156.55300
Khesin, Boris A.
2003
Polar homology. Zbl 1041.32016
Khesin, Boris; Rosly, Alexei
2003
Polar homology and holomorphic bundles. Zbl 0996.32012
Khesin, Boris; Rosly, Alexei
2001
Homotopy classification of nondegenerate quasiperiodic curves on the 2-sphere. Zbl 1274.53055
Shapiro, B. Z.; Khesin, B. A.
1999
Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces. Zbl 1004.53061
Khesin, Boris; Rosly, Alexei
1999
Topological methods in hydrodynamics. Zbl 0902.76001
Arnold, V. I.; Khesin, B. A.
1998
Extensions and contractions of the Lie algebra of $$q$$-pseudodifferential symbols on the circle. Zbl 0872.35138
Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude
1997
Universal Drinfeld-Sokolov reduction and matrices of complex size. Zbl 0846.58027
Khesin, Boris; Malikov, Feodor
1996
Four dimensional realization of two dimensional current groups. Zbl 0858.22017
Frenkel, Igor B.; Khesin, Boris A.
1996
Poisson-Lie group of pseudodifferential symbols. Zbl 0838.58040
Khesin, Boris; Zakharevich, Ilya
1995
Steady fluid flows and symplectic geometry. Zbl 0805.58023
Ginzburg, Viktor L.; Khesin, Boris
1994
Affine Gelfand-Dickey brackets and holomorphic vector bundles. Zbl 0809.58011
Etingof, P. I.; Khesin, B. A.
1994
Poisson-Lie group of pseudodifferential symbols and fractional KP-KdV hierarchies. Zbl 0771.35056
Khesin, Boris; Zakharevich, Ilya
1993
The logarithm of the derivative operator and higher spin algebras of $$W_{\infty{}}$$ type. Zbl 0765.35049
Bakas, Ioannis; Khesin, Boris; Kiritsis, Elias
1993
Topological methods in hydrodynamics. Zbl 0743.76019
Arnold, V. I.; Khesin, B. A.
1992
Nondegenerate curves on $$S^ 2$$ and orbit classification of the Zamolodchikov algebra. Zbl 0849.17026
Khesin, B. A.; Shapiro, B. Z.
1992
Swallowtails and Whitney umbrellas are homeomorphic. Zbl 0790.57019
Shapiro, B. Z.; Khesin, B. A.
1992
Topology of steady fluid flows. Zbl 0789.76014
Ginzburg, Viktor L.; Khesin, Boris
1992
A hierarchy of centrally extended algebras and the logarithm of the derivative operator. Zbl 0761.17022
Khesin, Boris
1992
Ergodic interpretation of integral hydrodynamic invariants. Zbl 0742.57020
Khesin, B. A.
1992
A central extension of the algebra of pseudodifferential symbols. Zbl 0729.35154
Kravchenko, O. S.; Khesin, B. A.
1991
Symplectic leaves of the Gel’fand-Dikij brackets and homotopy classes of nondegenerate curves. Zbl 0723.58021
Ovsienko, V. Yu.; Khesin, B. A.
1990
Singularities of light hypersurfaces and structure of hyperbolicity sets for systems of partial differential equations. Zbl 0747.35019
Khesin, B. A.
1990
Invariants of Hamiltonian KdV-structures. Zbl 0727.58019
Khesin, B. A.
1990
Invariants of the Euler equations for ideal or barotropic hydrodynamics and superconductivity in $$D$$ dimensions. Zbl 0820.58019
Khesin, B. A.; Chekanov, Yu. V.
1989
Integrals of the Euler equations of multidimensional hydrodynamics and superconductivity. Zbl 0779.76103
Ovsienko, V. Yu.; Khesin, B. A.; Chekanov, Yu. V.
1989
Bifurcations in gradient dynamical systems. Zbl 0900.58027
Khesin, B. A.
1988
Korteweg - de Vries suoerequation as an Euler equation. Zbl 0655.58018
Ovsienko, V. Yu.; Khesin, B. A.
1987
The Korteweg-de Vries superequation as Euler equation. Zbl 0639.58019
Ovsienko, V. Yu.; Khesin, B. A.
1987
Bifurcation of singular points of gradient dynamical systems. Zbl 0625.58011
Khesin, B. A.
1986
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#### Cited by 883 Authors

 36 Khesin, Boris A. 17 Guha, Partha 17 Preston, Stephen C. 14 Misiołek, Gerard 13 Bauer, Martin 13 Lenells, Jonatan 12 Tabachnikov, Serge L. 11 Peralta-Salas, Daniel 11 Shafarevich, Andreĭ Igorevich 10 Brenier, Yann 10 Kolev, Boris 10 Modin, Klas 9 Cao, Daomin 9 Cruzeiro, Ana-Bela 9 Enciso, Alberto 9 Holm, Darryl D. 9 Magnot, Jean-Pierre 8 Bruveris, Martins 8 Olshanetsky, Mikhail A. 8 Ovsienko, Valentin Yu. 8 Reyes, Enrique G. 7 Dragović, Vladimir 7 Escher, Joachim 7 Liu, Yue 7 Michor, Peter Wolfram 7 Radnović, Milena 7 Vizman, Cornelia 7 Wang, Guodong 7 Wunsch, Marcus 6 Akhmet’ev, Pëtr Mikhaĭlovich 6 Fu, Ying 6 Levin, Andrey M. 6 Marsden, Jerrold Eldon 6 Qu, Changzheng 6 Tiğlay, Feride 6 Zuo, Dafeng 5 Allilueva, Anna I. 5 Benn, James 5 Haller, George 5 Komendarczyk, Rafal 5 Marí Beffa, Gloria 5 Maslov, Viktor Pavlovich 5 Molitor, Mathieu 5 Qi, Guoyuan 5 Sarria, Alejandro 5 Shapiro, Boris Zalmanovich 5 Šverák, Vladimír 5 Zotov, Andrei V. 4 Brandenbursky, Michael 4 Cotter, Colin John 4 Desbrun, Mathieu 4 Gay-Balmaz, François 4 Gümral, Hasan 4 Harms, Philipp 4 Izosimov, Anton 4 Jacobs, Henry O. 4 Kohlmann, Martin 4 Li, Fengquan 4 Liu, Jingjing 4 Liu, Zhengrong 4 Malliavin, Paul 4 McLachlan, Robert I. 4 Moon, Byungsoo 4 Oblak, Blagoje 4 Ortenzi, Giovanni 4 Poletaeva, Elena 4 Procházka, Tomáš 4 Rajeev, Sarada G. 4 Roger, Claude 4 Saldanha, Nicolau Corção 4 Schwartz, Richard Evan 4 Shashikanth, Banavara N. 4 Szablikowski, Błażej M. 4 Tari, Farid 4 Topalov, Peter J. 4 Vankerschaver, Joris 4 Vialard, François-Xavier 4 Vorotnikov, Dmitry A. 4 Yang, Cheng 4 Yin, Zhaoyang 3 Arnaudon, Marc 3 Chae, Dongho 3 Constantin, Peter 3 Deryabin, Mikhail Vladimirovich 3 Dullin, Holger R. 3 Effland, Alexander 3 Gallouët, Thomas O. 3 Gambaudo, Jean-Marc 3 Gangbo, Wilfrid 3 Gerner, Wadim 3 González, Hernán A. 3 Holden, Helge 3 Jovanović, Vladimir 3 Kappeler, Thomas 3 Kȩdra, Jarek 3 Kuksin, Sergeĭ B. 3 Larsson, Daniel 3 Lv, Guangying 3 Mahalov, Alex 3 Malikov, Fyodor ...and 783 more Authors
all top 5

#### Cited in 223 Serials

 57 Journal of Geometry and Physics 45 Journal of Mathematical Physics 41 Communications in Mathematical Physics 29 Physica D 21 Archive for Rational Mechanics and Analysis 21 Journal of High Energy Physics 19 Journal of Differential Equations 16 Advances in Mathematics 16 Journal of Nonlinear Mathematical Physics 14 Physics Letters. A 14 Theoretical and Mathematical Physics 13 Journal of Nonlinear Science 13 Discrete and Continuous Dynamical Systems 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Mathematical Fluid Mechanics 11 Letters in Mathematical Physics 11 Journal of Functional Analysis 10 Journal of Fluid Mechanics 10 Calculus of Variations and Partial Differential Equations 9 Annals of Global Analysis and Geometry 9 Journal of Mathematical Sciences (New York) 9 International Journal of Geometric Methods in Modern Physics 9 Journal of Geometric Mechanics 9 Arnold Mathematical Journal 8 International Journal of Modern Physics A 8 Nonlinearity 8 Differential Geometry and its Applications 8 Regular and Chaotic Dynamics 7 Acta Applicandae Mathematicae 7 Geometric and Functional Analysis. GAFA 7 Bulletin of the American Mathematical Society. New Series 6 Mathematical Notes 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 Annals of Physics 6 Bulletin des Sciences Mathématiques 6 Proceedings of the Steklov Institute of Mathematics 6 Advances in Mathematical Physics 5 Applicable Analysis 5 Journal of Mathematical Analysis and Applications 5 Functional Analysis and its Applications 5 Ergodic Theory and Dynamical Systems 5 The Journal of Geometric Analysis 5 Communications in Partial Differential Equations 5 Chaos 4 International Journal of Theoretical Physics 4 Mathematical Methods in the Applied Sciences 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Reviews in Mathematical Physics 4 Annales de l’Institut Fourier 4 Monatshefte für Mathematik 4 Acta Mathematica Sinica. English Series 4 Japanese Journal of Mathematics. 3rd Series 3 Journal of Statistical Physics 3 Nuclear Physics. B 3 Wave Motion 3 Journal of Algebra 3 Journal of the Mathematical Society of Japan 3 Mathematische Annalen 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Geometry & Topology 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Poincaré 3 Nonlinear Analysis. Real World Applications 3 Algebraic & Geometric Topology 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Hyperbolic Differential Equations 3 SIAM Journal on Imaging Sciences 3 Analysis and Mathematical Physics 2 Classical and Quantum Gravity 2 Communications on Pure and Applied Mathematics 2 Fluid Dynamics 2 Journal of Computational Physics 2 Reports on Mathematical Physics 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Prikladnaya Matematika i Mekhanika 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 BIT 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Publications Mathématiques 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Topology and its Applications 2 Chinese Annals of Mathematics. Series B 2 SIAM Journal on Mathematical Analysis 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Russian Journal of Mathematical Physics 2 Physics of Fluids 2 International Journal of Computer Vision 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences ...and 123 more Serials
all top 5

#### Cited in 57 Fields

 367 Partial differential equations (35-XX) 298 Dynamical systems and ergodic theory (37-XX) 261 Fluid mechanics (76-XX) 168 Differential geometry (53-XX) 152 Global analysis, analysis on manifolds (58-XX) 93 Quantum theory (81-XX) 82 Nonassociative rings and algebras (17-XX) 66 Mechanics of particles and systems (70-XX) 56 Manifolds and cell complexes (57-XX) 41 Topological groups, Lie groups (22-XX) 33 Numerical analysis (65-XX) 31 Algebraic geometry (14-XX) 31 Relativity and gravitational theory (83-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Ordinary differential equations (34-XX) 21 Operator theory (47-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 17 Probability theory and stochastic processes (60-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Geophysics (86-XX) 12 Geometry (51-XX) 12 Optics, electromagnetic theory (78-XX) 11 Functional analysis (46-XX) 9 Mechanics of deformable solids (74-XX) 8 Group theory and generalizations (20-XX) 8 Algebraic topology (55-XX) 8 Systems theory; control (93-XX) 7 Associative rings and algebras (16-XX) 7 Difference and functional equations (39-XX) 6 Real functions (26-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Commutative algebra (13-XX) 5 Functions of a complex variable (30-XX) 5 Special functions (33-XX) 5 Information and communication theory, circuits (94-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX)

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