Alexander V. Mikhailov

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Citations	6620	1337
h-index	37	19
i10-index	78	41

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Vladimir Zakharovlandau Inst. for Theor. Phys.; University of Arizona; Lebedev Phys. Inst.; Novosibirsk State Univ.Verified email at itp.ac.ru
Shabat ABL.D. Landau Institute for Theoretical PhysicsVerified email at itp.ac.ru
Evgenii A. Kuznetsov (Евгений Алекс...P.N. Lebedev Physical Institute of RASVerified email at itp.ac.ru
Ravil I. YamilovInstitute of Mathematics, Ufa Federal Science Centre, Russian Academy of SciencesVerified email at matem.anrb.ru
Jing Ping WangUniversity of KentVerified email at kent.ac.uk
Vladimir NovikovLoughborough UniversityVerified email at lboro.ac.uk
Sokolov VladimirLeading scientific researcher, Landau Institute for Theoretical PhysicsVerified email at landau.ac.ru
Pavlos XenitidisSchool of Mathematics, Computer Science & Engineering, Liverpool Hope UniversityVerified email at hope.ac.uk
Sotiris Konstantinou-RizosCentre of Integrable Systems, P.G. Demidov Yaroslavl State University, RussiaVerified email at uniyar.ac.ru
Georgi GrahovskiDepartment of Mathematical Sciences, University of Essex, Colchester (UK)Verified email at essex.ac.uk
Vladimir Stefanov GerdjikovInstitute for Nuclear Research and Nuclear Energy, Sofia, Institute of Mathematics and InformaticsVerified email at inrne.bas.bg
Sara LombardoProfessor of Mathematics, Mathematical Sciences, Loughborough UniversityVerified email at lboro.ac.uk
Yuji KodamaProfessor of Mathematics, The Ohio State UniversityVerified email at osu.edu
Mikhail OlshanetskyИТЭФVerified email at itep.ru
Georgios PapamikosDepartment of Mathematical Sciences, University of EssexVerified email at essex.ac.uk
Rustem N. GarifullinInstitute of Mathematics, Ufa Science Center, Russian Academy of SciencesVerified email at matem.anrb.ru
S. WabnitzSapienza University of RomeVerified email at uniroma1.it
Allan P FordyUniversity of LeedsVerified email at leeds.ac.uk
Frank NijhoffProfessor of Mathematical Physics, University of LeedsVerified email at leeds.ac.uk

Alexander V. Mikhailov

Professor of Mathematical Physics, University of Leeds

Verified email at leeds.ac.uk - Homepage

Integrable systems solitons mathematics physics


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Relativistically invariant two-dimensional models of field theory which are integrable by means of the inverse scattering problem method VE Zakharov, AV Mikhaĭlov	786	1978
The symmetry approach to classification of integrable equations AV Mikhailov, AB Shabat, VV Sokolov What is integrability?, 115-184, 1991	709*	1991
The reduction problem and the inverse scattering method AV Mikhailov Physica D: Nonlinear Phenomena 3 (1-2), 73-117, 1981	543	1981
Two-dimensional generalized Toda lattice AV Mikhailov, MA Olshanetsky, AM Perelomov Communications in Mathematical Physics 79 (4), 473-488, 1981	416	1981
The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems AV Mikhailov, AB Shabat, RI Yamilov Russian Mathematical Surveys 42 (4), 1, 1987	334	1987
Integrability of a two-dimensional generalization of the Toda chain AV Mikhailov JETP Lett 30 (7), 1979	334	1979
On the integrability of classical spinor models in two-dimensional space-time VE Zakharov, AV Mikhailov Communications in Mathematical Physics 74 (1), 21-40, 1980	237	1980
Inverse scattering method with variable spectral parameter SP Burtsev, VE Zakharov, AV Mikhailov Theoretical and Mathematical Physics 70 (3), 227-240, 1987	185	1987
Perturbative symmetry approach AV Mikhailov, VS Novikov Journal of Physics A: Mathematical and General 35 (22), 4775, 2002	170	2002
On the complete integrability of the two-dimensional classical Thirring model EA Kuznetsov, AV Mikhailov Theoretical and Mathematical Physics 30 (3), 193-200, 1977	160	1977
On the topological meaning of canonical Clebsch variables EA Kuznetsov	130	1980
Extension of the module of invertible transformations. Classification of integrable systems AV Mikhailov, AB Shabat, RI Yamilov Communications in mathematical physics 115 (1), 1-19, 1988	117*	1988
Nonlinear interaction of solitons and radiation EA Kuznetsov, AV Mikhailov, IA Shimokhin Physica D: Nonlinear Phenomena 87 (1-4), 201-215, 1995	107	1995
The Landau-Lifschitz equation and the Riemann boundary problem on a torus AV Mikhailov Physics Letters A 92 (2), 51-55, 1982	98	1982
Maxwell-Bloch equation and the inverse scattering method IR Gabitov, VE Zakharov, AV Mikhailov Theoretical and Mathematical Physics 63 (1), 328-343, 1985	93	1985
Reduction in integrable systems. The reduction group AV Mikhailov JETP Lett 32 (2), 187-192, 1980	88	1980
Obstacles to asymptotic integrability Y Kodama, AV Mikhailov Algebraic Aspects of Integrable Systems, Progr. Nonlinear Differential …, 1997	87	1997
Reductions of integrable equations: dihedral group S Lombardo, AV Mikhailov Journal of Physics A: Mathematical and General 37 (31), 7727, 2004	78*	2004
Polarization domains in nonlinear optics VE Zakharov, AV Mikhailov JETP Lett 45 (6), 349-352, 1987	75	1987
Towards classification of-dimensional integrable equations. Integrability conditions I AV Mikhailov, RI Yamilov Journal of Physics A: Mathematical and General 31 (31), 6707, 1998	68	1998

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