V. M. Buchstaber, A. V. Mikhailov, Funktsional. Anal. i Prilozhen.
2024
2.
Victor M. Buchstaber, Alexander V. Mikhailov, “KdV hierarchies and quantum Novikov's equations”, Open Commun. in Nonlin. Mathem. Physics, 2024, no. 1, 1–36, arXiv: 2109.06357v4;
V. M. Buchstaber, A. V. Mikhailov, “Cyclic Frobenius algebras”, Russian Math. Surveys, 78:1 (2023), 205–207
4.
V. M. Buchstaber, A. V. Mikhailov, “KdV hierarchies and quantum Novikov's equations”, 2023, arXiv: 2109.06357
5.
L. M. Zelenyi, E. A. Kuznetsov, A. G. Litvak, G. A. Mesyats, A. V. Mikhailov, S. L. Musher, S. P. Novikov, Yu. N. Ovchinnikov, D. D. Ryutov, R. Z. Sagdeev, R. A. Sunyaev, M. P. Fedoruk, “In memory of Vladimir Evgen'evich Zakharov”, Phys. Usp., 66:12 (2023), 1277–1279
2021
6.
V. M. Buchstaber, A. V. Mikhailov, “Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves”, Russian Math. Surveys, 76:4 (2021), 587–652
2020
7.
A. V. Mikhailov, “Quantisation ideals of nonabelian integrable systems”, Russian Math. Surveys, 75:5 (2020), 978–980
8.
V. E. Adler, P. Winternitz, R. N. Garifullin, A. V. Zhiber, D. Levi, A. V. Mikhailov, I. Kh. Musin, F. W. Nijhoff, V. V. Sokolov, B. I. Suleimanov, E. V. Ferapontov, A. P. Fordy, I. T. Habibullin, I. Yu. Cherdantsev, R. A. Sharipov, R. S. Yulmukhametov, “In memory of Yamilov Ravil Islamovich”, Ufa Math. J., 12:3 (2020), 119–120
2019
9.
B. S. Bychkov, A. V. Mikhailov, “Polynomial graph invariants and linear hierarchies”, Russian Math. Surveys, 74:2 (2019), 366–368
10.
A. V. Gurevich, L. M. Zelenyi, E. A. Kuznetsov, G. A. Mesyats, A. V. Mikhailov, S. L. Musher, S. P. Novikov, V. A. Rubakov, A. M. Rubenchik, R. Z. Sagdeev, Ya. G. Sinai, V. E. Fortov, “Vladimir Evgen'evich Zakharov (on his 80th birthday)”, Phys. Usp., 62:10 (2019), 1053–1055
2018
11.
V. M. Buchstaber, A. V. Mikhailov, “Polynomial Hamiltonian integrable systems on symmetric powers of plane curves”, Russian Math. Surveys, 73:6 (2018), 1122–1124
2017
12.
V. M. Buchstaber, A. V. Mikhailov, “Infinite-Dimensional Lie Algebras Determined by the Space of Symmetric Squares of Hyperelliptic Curves”, Funct. Anal. Appl., 51:1 (2017), 2–21
13.
A. V. Abanin, S. N. Askhabov, A. B. Borisov, R. A. Bostanov, A. V. Zhiber, V. E. Zakharov, S. B. Klimentov, Yu. F. Korobeinik, A. G. Kusraev, S. S. Kutateladze, A. V. Mikhailov, A. P. Soldatov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Aleksei Borisovich Shabat (on the occasion of his 80th anniversary)”, Vladikavkaz. Mat. Zh., 19:3 (2017), 83–85
2016
14.
George Berkeley, Alexander V. Mikhailov, Pavlos Xenitidis, “Darboux transformations with tetrahedral reduction group and related integrable systems”, J. Math. Phys., 57:9 (2016), 092701
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang, “Darboux Transformation for the Vector Sine-Gordon Equation and Integrable Equations on a Sphere”, Lett. Math. Phys., 106:7 (2016), 973–996
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang, “Dressing method for the vector sine-Gordon equation and its soliton interactions”, Physica D, 325 (2016), 53–62
S. Konstantinou-Rizos, A. V. Mikhailov, P. Xenitidis, “Reduction groups and related integrable difference systems of nonlinear Schrodinger type”, J. Math. Phys., 56:8 (2015), 082701
R. N. Garifullin, A. V. Mikhailov, R. I. Yamilov, “Discrete equation on a square lattice with a nonstandard structure of generalized symmetries”, Theoret. and Math. Phys., 180:1 (2014), 765–780
22.
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang, “Darboux transformation with dihedral reduction group”, J. Math. Phys., 55:11 (2014), 113507
Alexandre V. Mikhailov, Pavlos Xenitidis, “Second Order Integrability Conditions for Difference Equations: An Integrable Equation”, Lett. Math. Phys., 104:4 (2014), 431–450
F. Khanizadeh, A. V. Mikhailov, Jing Ping Wang, “Darboux transformations and recursion operators for differential–difference equations”, Theoret. and Math. Phys., 177:3 (2013), 1606–1654
25.
Georgi G. Grahovski, Alexander V. Mikhailov, “Integrable discretisations for a class of nonlinear Schrodinger equations on Grassmann algebras”, Phys. Lett. A, 377:45-48 (2013), 3254–3259
S. Konstantinou-Rizos, A. V. Mikhailov, “Darboux transformations, finite reduction groups and related Yang-Baxter maps”, J. Phys. A-Math. Theor., 46:42 (2013), 425201
A. V. Abanin, S. N. Askhabov, A. B. Borisov, R. A. Bostanov, A. V. Zhiber, V. E. Zakharov, S. B. Klimentov, Yu. F. Korobeinik, A. G. Kusraev, S. S. Kutateladze, A. V. Mikhailov, A. P. Soldatov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Shabat Aleksei Borisovich (on his 75th birthday)”, Vladikavkaz. Mat. Zh., 14:2 (2012), 71–73
2011
28.
Vladimir S. Gerdjikov, Georgi G. Grahovski, Alexander V. Mikhailov, Tihomir I. Valchev, “Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces”, SIGMA, 7 (2011), 96, 48 pp., arXiv: 1108.3990
V. S. Gerdjikov, G. G. Grahovski, A. V. Mikhailov, T. I. Valchev, “Rational bundles and recursion operators for integrable equations on A.III-type symmetric spaces”, Theoret. and Math. Phys., 167:3 (2011), 740–750
30.
A. V. Mikhailov, J. P. Wang, P. Xenitidis, “Recursion operators, conservation laws, and integrability conditions for difference equations”, Theoret. and Math. Phys., 167:1 (2011), 421–443
31.
A. V. Mikhailov, J. P. Wang, “A new recursion operator for Adler's equation in the Viallet form”, Phys. Lett. A, 375:45 (2011), 3960–3963
Alexander V. Mikhailov, Jing Ping Wang, Pavlos Xenitidis, “Cosymmetries and Nijenhuis recursion operators for difference equations”, Nonlinearity, 24:7 (2011), 2079–2097
V. S. Gerdjikov, A. V. Mikhailov, T. I. Valchev, “Reductions of integrable equations on A.III-type symmetric spaces”, J. Phys. A-Math. Theor., 43:43 (2010), 434015
A. V. Mikhailov, V. V. Sokolov, “Symmetries of Differential Equations and the Problem of Integrability”, Integrability, Lecture Notes in Physics, 767, eds. Mikhailov, AV, 2009, 19–88
37.
A. V. Gurevich, E. A. Kuznetsov, G. A. Mesyats, A. V. Mikhailov, S. L. Musher, S. P. Novikov, A. M. Rubenchik, R. Z. Sagdeev, G. I. Smirnov, Ya. G. Sinai, A. N. Skrinsky, V. E. Fortov, “Vladimir Evgen'evich Zakharov (on his 70th birthday)”, Phys. Usp., 52:8 (2009), 863–864
2007
38.
Alexander V. Mikhailov, Vladimir S. Novikov, Jing Ping Wang, “On classification of integrable nonevolutionary equations”, Stud. Appl. Math., 118:4 (2007), 419–457
S Lombardo, AV Mikhailov, “Reductions of integrable equations and automorphic Lie algebras”, Spt 2004: Symmetry and Perturbation Theory, eds. Gaera, G and Prinari, B and RauchWojciechowshi, S, 2005, 183–192
2004
42.
S Lombardo, AV Mikhailov, “Reductions of integrable equations: dihedral group”, J. Phys. A-Math. Gen., 37:31 (2004), 7727-7742
A. V. Mikhailov, V. Yu. Novokshenov, “The Riemann–Hilbert Problem for Analytic Description of the DM Solitons”, Theoret. and Math. Phys., 137:3 (2003), 1723–1732
45.
A. V. Mikhailov, V. Yu. Novokshenov, “Period Map for Nonlinear Pulses in Optical Dispersion-Managed Fibers”, Theoret. and Math. Phys., 134:1 (2003), 107–116
2002
46.
AV Mikhailov, VS Novikov, “Perturbative symmetry approach”, J. Phys. A-Math. Gen., 35:22 (2002), 4775–4790
A. V. Mikhailov, V. V. Sokolov, “Integrable ordinary differential equations on free associative algebras”, Theoret. and Math. Phys., 122:1 (2000), 72–83
50.
AV Mikhailov, VV Sokolov, “Integrable ODEs on associative algebras”, Commun. Math. Phys., 211:1 (2000), 231–251
AV Mikhailov, “Variationalism and empirio-criticism. (Exact and Variational Approaches to fibre optics equations)”, Optical Solitons: Theoretical Challenges and Industrial Perspectives, Centre de Physique Des Houches, 12, eds. Zakharov, VE and Wabnitz, S, 1999, 63–71
53.
J Leon, AV Mikhailov, “Transient Raman amplification”, Optical Solitons: Theoretical Challenges and Industrial Perspectives, Centre de Physique Des Houches, 12, eds. Zakharov, VE and Wabnitz, S, 1999, 265–281
54.
A. A. Galeev, E. A. Kuznetsov, A. V. Mikhailov, Yu. E. Nesterikhin, S. P. Novikov, R. Z. Sagdeev, Ya. G. Sinai, G. I. Smirnov, V. E. Fortov, I. M. Khalatnikov, B. V. Chirikov, A. B. Shabat, “Vladimir Evgen'evich Zakharov (on his sixtieth birthday)”, Phys. Usp., 42:10 (1999), 1063–1064
1998
55.
AV Mikhailov, RI Yamilov, “Towards classification of (2+1)-dimensional integrable equations. Integrability conditions I”, J. Phys. A-Math. Gen., 31:31 (1998), 6707–6715
Y Kodama, AV Mikhailov, S Wabnitz, “Input pulse optimization in wavelength-division-multiplexed soliton transmissions”, Opt. Commun., 143:1-3 (1997), 53–56
AV Mikhailov, RI Yamilov, “On integrable two-dimensional generalizations of nonlinear Schrodinger type equations”, Phys. Lett. A, 230:5-6 (1997), 295–300
C Montes, A Mikhailov, A Picozzi, F Ginovart, “Dissipative three-wave structures in stimulated backscattering .1. A subluminous solitary attractor”, Phys. Rev. E, 55:1, B (1997), 1086-1091
Av Mikhailov, Ea Kuznetsov, Ac Newell, Ve Zakharov, “the Nonlinear Schrodinger-Equation”, Proceedings of the Conference on the Nonlinear Schrodinger-Equation (Chernogolovka, 25 July 3 August 1994), Physica D, 87, no. 1-4, 1995, R7-R9
1994
61.
Ea Kuznetsov, Av Mikhailov, “Relaxation Oscillations of Solitons (Vol 60, Pg 486, 1994)”, Jetp Lett., 60:10 (1994), 757
62.
Ea Kuznetsov, Av Mikhailov, “Relaxation Oscillations of Solitons”, Jetp Lett., 60:6 (1994), 486–490
63.
Hj Devega, Av Mikhailov, N Sanchez, “Exact String Solutions in (2+1)-Dimensional Desitter Space-Time”, Mod. Phys. Lett. A, 9:29 (1994), 2745–2754
Hj Devega, Av Mikhailov, N Sanchez, “New Solutions of the Classical String Equation in Desitter Space”, Nonlinear Coherent Structures in Physics and Biology, Nato Advanced Science Institutes Series, Series B, Physics, 329, eds. Spatschek, KH and Mertens, FG, 1994, 271–274
1993
66.
H. J. de Vega, A. V. Mikhailov, N. Sánchez, “Exact string solutions in $2+1$-dimensional de Sitter spacetime”, Theoret. and Math. Phys., 94:2 (1993), 166–172
67.
Av Mikhailov, Ia Shimokhin, “Spectrum of 180-Degrees Bloch-Type Domain-Wall Excitations in Yttrium-Iron-Garnet”, Phys. Rev. B, 48:13 (1993), 9569–9574
Av Mikhailov, Ia Shimokhin, “Domain-Wall Excitation Spectrum in Uniaxial Ferromagnet”, Zhurnal Eksperimentalnoi Teor. Fiz., 97:6 (1990), 1966–1973
70.
Av Mikhailov, “a Concept of Integrability Based on the Symmetry Approach”, Partially Integrable Evolution Equations in Physics, Nato Advanced Science Institutes Series, Series C, Mathematical and Physical Sciences, 310, eds. Conte, R and Boccara, N, 1990, 373
1988
71.
Av Mikhailov, Ab Shabat, Ri Yamilov, “Extension of the Module of Invertible Transformations - Classification of Integrable Systems”, Commun. Math. Phys., 115:1 (1988), 1–19
A. V. Mikhailov, A. B. Shabat, R. I. Yamilov, “The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems”, Russian Math. Surveys, 42:4 (1987), 1–63
73.
S. P. Burtsev, V. E. Zakharov, A. V. Mikhailov, “Inverse scattering method with variable spectral parameter”, Theoret. and Math. Phys., 70:3 (1987), 227–240
74.
Ve Zakharov, Av Mikhailov, “Polarization Domains in Nonlinear Optics”, Jetp Lett., 45:6 (1987), 349–352
1988
75.
A. V. Mikhailov, A. B. Shabat, R. I. Yamilov, “On an extension of the module of invertible transformations”, Dokl. Math., 36:1 (1988), 60–63
1986
76.
A. V. Mikhailov, A. B. Shabat, “Integrability conditions for systems of two equations of the form $u_t=A(u)u_{xx}+F(u,u_x)$. II”, Theoret. and Math. Phys., 66:1 (1986), 31–44
77.
Av Mikhailov, Ab Shabat, “Integrable Deformations of the Heisenberg-Model”, Phys. Lett. A, 116:4 (1986), 191–194
I. R. Gabitov, V. E. Zakharov, A. V. Mikhailov, “Maxwell–Bloch equation and the inverse scattering method”, Theoret. and Math. Phys., 63:1 (1985), 328–343
79.
A. V. Mikhailov, A. B. Shabat, “Integrability conditions for systems of two equations of the form $u_t+A(u)u_{xx}+F(u,u_x)$. I”, Theoret. and Math. Phys., 62:2 (1985), 107–122
1984
80.
Av Mikhailov, AI Yaremchuk, “Forced Motion of a Domain-Wall in the Field of Spin-Wave”, Jetp Lett., 39:7 (1984), 354–357
81.
Ir Gabitov, Ve Zakharov, Av Mikhailov, “Nonlinear-Theory of Superfluorescence”, Zhurnal Eksperimentalnoi Teor. Fiz., 86:4 (1984), 1204–1216
82.
S. A. Nazarov, A. L. Krylov, A. E. Lifshits, V. A. Vassiliev, A. V. Mikhailov, B. A. Dubrovin, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 39:2(236) (1984), 217–221
1983
83.
V. E. Zakharov, A. V. Mikhailov, “Method of the inverse scattering problem with spectral parameter on an algebraic curve”, Funct. Anal. Appl., 17:4 (1983), 247–251
84.
Ir Gabitov, Ve Zakharov, Av Mikhailov, “Superfluorescence Pulse Shape”, Jetp Lett., 37:5 (1983), 279–282
1982
85.
Av Mikhailov, AI Yaremchuk, “Axially Symmetrical Solutions of the Two-Dimensional Heisenberg-Model”, Jetp Lett., 36:3 (1982), 95–100
86.
Av Mikhailov, “Relativistically Invariant Models of the Field-Theory Integrable By the Inverse Scattering Method”, Lecture Notes in Mathematics, 970 (1982), 186–196
87.
Av Mikhailov, AI Yaremchuk, “Cylindrically Symmetric-Solutions of the Non-Linear Chiral Field Model (SIGMA-Model)”, Nucl. Phys. B, 202:3 (1982), 508–522
Vs Lvov, Av Mikhailov, “Contribution to the Non-Linear Theory of Sound and Hydrodynamic Turbulence of a Compressible Liquid”, Physica D, 2:1 (1981), 224–243
V. E. Zakharov, A. V. Mikhailov, “Variational principle for equations integrable by the inverse problem method”, Funct. Anal. Appl., 14:1 (1980), 43–44
93.
Ve Zakharov, Av Mikhailov, “on the Integrability of Classical Spinor Models in Two-Dimensional Space-Time”, Commun. Math. Phys., 74:1 (1980), 21–40
Av Mikhailov, “Integrability of a Two-Dimensional Generalization of the Toda Chain”, Jetp Lett., 30:7 (1979), 414–418
97.
Av Mikhailov, Am Perelomov, “Instanton-Type Solutions in Super-Symmetrical Chiral Models”, Jetp Lett., 29:7 (1979), 403–407
1978
98.
Av Mikhailov, “Integrability of Supersymmetrical Generalizations of Classical Chiral Models in 2-Dimensional Space-Time”, Jetp Lett., 28:8 (1978), 512–516
99.
Ve Zakharov, Av Mikhailov, “Example of Nontrivial Interaction of Solitons in 2-Dimensional Classical Field-Theory”, Jetp Lett., 27:1 (1978), 42–46
100.
Vs Lvov, Av Mikhailov, “Scattering and Interaction of Sound With Sound in a Turbulent Medium”, Zhurnal Eksperimentalnoi Teor. Fiz., 75:5 (1978), 1669–1682
101.
Vs Lvov, Av Mikhailov, “Sound and Hydrodynamic Turbulence in a Compressible Liquid”, Zhurnal Eksperimentalnoi Teor. Fiz., 74:4 (1978), 1445–1457
102.
Ve Zakharov, Av Mikhailov, “Relativistically Invariant 2-Dimensional Models in Field-Theory Integrable By Inverse Problem Technique”, Zhurnal Eksperimentalnoi Teor. Fiz., 74:6 (1978), 1953–1973
1977
103.
E. A. Kuznetsov, A. V. Mikhailov, “On the complete integrability of the two-dimensional classical Thirring model”, Theoret. and Math. Phys., 30:3 (1977), 193–200
1976
104.
Av Mikhailov, “Integrability of 2-Dimensional Thirring Model”, Jetp Lett., 23:6 (1976), 320–323
Quantisation of free associative dynamical systems A. V. Mikhailov International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 3, 2022 12:20
Bi-quantisation of stationary KdV hierarchy and Novikov's equations A. V. Mikhailov Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS,
and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU
"Geometry, Topology and Mathematical Physics" (Novikov Seminar) October 13, 2021 18:30
Quantisation of free associative dynamical systems. Quantisation ideals A. V. Mikhailov Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS,
and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU
"Geometry, Topology and Mathematical Physics" (Novikov Seminar) September 22, 2021 14:00
Координатные кольца симметрических степеней двумерного комплексного
пространства V. M. Buchstaber, A. V. Mikhailov Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS,
and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU
"Geometry, Topology and Mathematical Physics" (Novikov Seminar) January 29, 2020 14:00
16.
Полиномиальные интегрируемые гамильтоновы системы и симметрические степени плоских кривых V. M. Buchstaber, A. V. Mikhailov Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS,
and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU
"Geometry, Topology and Mathematical Physics" (Novikov Seminar) January 16, 2019 14:00
Finite reduction groups, automorphic Lie algebras and applications to
integrable systems A. V. Mikhailov Seminar of the Department of Geometry and Topology of the Steklov Mathematical Institute, RAS,
and the Department of Geometry and Topology of the Faculty of Mechanics and Mathematics, MSU
"Geometry, Topology and Mathematical Physics" (Novikov Seminar) October 8, 2014 18:30