Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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1. |
V. M. Buchstaber, A. V. Mikhailov, Funktsional. Anal. i Prilozhen. |
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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 ;
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2
[x]
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2023 |
3. |
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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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
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6
[x]
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15. |
S. Konstantinou-Rizos, A. V. Mikhailov, “Anticommutative extension of the Adler map”, J. Phys. A-Math. Theor., 49:30 (2016), 30LT03
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9
[x]
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16. |
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
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15
[x]
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17. |
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
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18
[x]
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18. |
G. G. Grahovski, S. Konstantinou-Rizos, A. V. Mikhailov, “Grassmann extensions of Yang-Baxter maps”, J. Phys. A-Math. Theor., 49:14 (2016), 145202
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20
[x]
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2015 |
19. |
A. V. Mikhailov, “Formal diagonalisation of Lax–Darboux schemes”, Model. i analiz inform. sistem, 22:6 (2015), 795–817
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11
[x]
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20. |
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
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19
[x]
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2014 |
21. |
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
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8
[x]
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23. |
Alexandre V. Mikhailov, Pavlos Xenitidis, “Second Order Integrability Conditions for Difference Equations: An Integrable Equation”, Lett. Math. Phys., 104:4 (2014), 431–450
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24
[x]
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2013 |
24. |
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
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26
[x]
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26. |
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
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35
[x]
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2012 |
27. |
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 |
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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
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26
[x]
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29. |
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
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9
[x]
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32. |
Alexander V. Mikhailov, Jing Ping Wang, Pavlos Xenitidis, “Cosymmetries and Nijenhuis recursion operators for difference equations”, Nonlinearity, 24:7 (2011), 2079–2097
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20
[x]
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2010 |
33. |
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
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15
[x]
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2009 |
34. |
A. V. Mikhailov, “Integrability Introduction”, Integrability, Lecture Notes in Physics, 767, eds. Mikhailov, AV, 2009, 1–18 |
35. |
“Integrability”, Integrability, Lecture Notes in Physics, 767, eds. Mikhailov, AV, 2009, 1–339
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20
[x]
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36. |
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 |
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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
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40
[x]
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2005 |
39. |
S Lombardo, AV Mikhailov, “Reduction groups and automorphic Lie algebras”, Commun. Math. Phys., 258:1 (2005), 179–202
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36
[x]
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40. |
AV Mikhailov, VS Novikov, JP Wang, “Partially integrable nonlinear equations with one higher symmetry”, J. Phys. A-Math. Gen., 38:20 (2005), L337–L341
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8
[x]
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41. |
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 |
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2004 |
42. |
S Lombardo, AV Mikhailov, “Reductions of integrable equations: dihedral group”, J. Phys. A-Math. Gen., 37:31 (2004), 7727-7742
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37
[x]
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2003 |
43. |
A. V. Mikhailov, V. S. Novikov, “Classification of integrable Benjamin–Ono-type equations”, Mosc. Math. J., 3:4 (2003), 1293–1305
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12
[x]
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44. |
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 |
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2002 |
46. |
AV Mikhailov, VS Novikov, “Perturbative symmetry approach”, J. Phys. A-Math. Gen., 35:22 (2002), 4775–4790
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128
[x]
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2001 |
47. |
JETP Letters, 73:5 (2001), 250–254 |
48. |
Y Kodama, AV Mikhailov, “Symmetry and perturbation of the vector nonlinear Schrodinger equation”, Physica D, 152 (2001), 171-177
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17
[x]
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2000 |
49. |
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
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45
[x]
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1999 |
51. |
J Leon, AV Mikhailov, “Raman soliton generation from laser inputs in SRS”, Phys. Lett. A, 253:1-2 (1999), 33–40
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26
[x]
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52. |
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 |
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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
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33
[x]
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1997 |
56. |
Y Kodama, AV Mikhailov, S Wabnitz, “Input pulse optimization in wavelength-division-multiplexed soliton transmissions”, Opt. Commun., 143:1-3 (1997), 53–56
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12
[x]
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57. |
AV Mikhailov, RI Yamilov, “On integrable two-dimensional generalizations of nonlinear Schrodinger type equations”, Phys. Lett. A, 230:5-6 (1997), 295–300
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12
[x]
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58. |
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
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26
[x]
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1995 |
59. |
Ea Kuznetsov, Av Mikhailov, Ia Shimokhin, “Nonlinear-Interaction of Solitons and Radiation”, Physica D, 87:1-4 (1995), 201–215
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89
[x]
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60. |
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 |
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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
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2
[x]
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64. |
F Combes, Hj Devega, Av Mikhailov, N Sanchez, “Multistring Solutions By Soliton Methods in Desitter Spacetime”, Phys. Rev. D, 50:4 (1994), 2754–2768
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30
[x]
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65. |
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 |
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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
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8
[x]
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1990 |
68. |
Av Mikhailov, S Wabnitz, “Polarization Dynamics of Counterpropagating Beams in Optical Fibers”, Opt. Lett., 15:19 (1990), 1055–1057
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17
[x]
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69. |
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 |
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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
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83
[x]
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1987 |
72. |
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 |
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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 |
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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
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31
[x]
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1985 |
78. |
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 |
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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 |
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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 |
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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
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27
[x]
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88. |
Av Mikhailov, “the Landau-Lifschitz Equation and the Riemann Boundary-Problem on a Torus”, Phys. Lett. A, 92:2 (1982), 51–55
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74
[x]
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1981 |
89. |
Av Mikhailov, Ma Olshanetsky, Am Perelomov, “Two-Dimensional Generalized Toda Lattice”, Commun. Math. Phys., 79:4 (1981), 473–488
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268
[x]
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90. |
Av Mikhailov, “the Reduction Problem and the Inverse Scattering Method”, Physica D, 3:1-2 (1981), 73–117
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320
[x]
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91. |
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
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1
[x]
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1980 |
92. |
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
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157
[x]
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94. |
Av Mikhailov, “Reduction in Integrable Systems - the Reduction Group”, Jetp Lett., 32:2 (1980), 174–178 |
95. |
Ea Kuznetsov, Av Mikhailov, “on the Topological Meaning of Canonical Clebsch Variables”, Phys. Lett. A, 77:1 (1980), 37–38
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100
[x]
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1979 |
96. |
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 |
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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 |
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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 |
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1976 |
104. |
Av Mikhailov, “Integrability of 2-Dimensional Thirring Model”, Jetp Lett., 23:6 (1976), 320–323 |
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