Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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1. |
Av Mikhailov, “the Reduction Problem and the Inverse Scattering Method”, Physica D, 3:1-2 (1981), 73–117
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319
[x]
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2. |
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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3. |
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 |
4. |
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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5. |
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 |
6. |
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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7. |
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 |
8. |
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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9. |
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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10. |
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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11. |
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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12. |
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 |
13. |
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 |
14. |
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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15. |
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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16. |
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 |
17. |
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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18. |
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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19. |
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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20. |
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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21. |
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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22. |
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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23. |
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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24. |
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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25. |
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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26. |
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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27. |
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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28. |
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 |
29. |
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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30. |
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 |
31. |
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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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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33. |
“Integrability”, Integrability, Lecture Notes in Physics, 767, eds. Mikhailov, AV, 2009, 1–339
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20
[x]
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34. |
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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35. |
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 |
36. |
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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37. |
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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38. |
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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39. |
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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40. |
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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41. |
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 |
42. |
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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43. |
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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44. |
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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45. |
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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46. |
A. V. Mikhailov, V. V. Sokolov, “Integrable ordinary differential equations on free associative algebras”, Theoret. and Math. Phys., 122:1 (2000), 72–83 |
47. |
V. E. Zakharov, A. V. Mikhailov, “Variational principle for equations integrable by the inverse problem method”, Funct. Anal. Appl., 14:1 (1980), 43–44 |
48. |
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 |
49. |
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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50. |
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 |
51. |
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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52. |
A. V. Mikhailov, “Quantisation ideals of nonabelian integrable systems”, Russian Math. Surveys, 75:5 (2020), 978–980 |
53. |
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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54. |
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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55. |
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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56. |
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 |
57. |
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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58. |
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 |
59. |
B. S. Bychkov, A. V. Mikhailov, “Polynomial graph invariants and linear hierarchies”, Russian Math. Surveys, 74:2 (2019), 366–368 |
60. |
V. M. Buchstaber, A. V. Mikhailov, “Polynomial Hamiltonian integrable systems on symmetric powers of plane curves”, Russian Math. Surveys, 73:6 (2018), 1122–1124 |
61. |
JETP Letters, 73:5 (2001), 250–254 |
62. |
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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63. |
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 |
64. |
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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65. |
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 |
66. |
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 |
67. |
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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68. |
V. M. Buchstaber, A. V. Mikhailov, Funktsional. Anal. i Prilozhen. |
69. |
V. M. Buchstaber, A. V. Mikhailov, “Cyclic Frobenius algebras”, Russian Math. Surveys, 78:1 (2023), 205–207 |
70. |
V. M. Buchstaber, A. V. Mikhailov, “KdV hierarchies and quantum Novikov's equations”, 2023, arXiv: 2109.06357 |
71. |
A. V. Mikhailov, “Integrability Introduction”, Integrability, Lecture Notes in Physics, 767, eds. Mikhailov, AV, 2009, 1–18 |
72. |
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 |
73. |
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 |
74. |
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 |
75. |
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 |
76. |
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 |
77. |
Ea Kuznetsov, Av Mikhailov, “Relaxation Oscillations of Solitons (Vol 60, Pg 486, 1994)”, Jetp Lett., 60:10 (1994), 757 |
78. |
Ea Kuznetsov, Av Mikhailov, “Relaxation Oscillations of Solitons”, Jetp Lett., 60:6 (1994), 486–490 |
79. |
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 |
80. |
Av Mikhailov, Ia Shimokhin, “Domain-Wall Excitation Spectrum in Uniaxial Ferromagnet”, Zhurnal Eksperimentalnoi Teor. Fiz., 97:6 (1990), 1966–1973 |
81. |
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 |
82. |
Ve Zakharov, Av Mikhailov, “Polarization Domains in Nonlinear Optics”, Jetp Lett., 45:6 (1987), 349–352 |
83. |
Av Mikhailov, AI Yaremchuk, “Forced Motion of a Domain-Wall in the Field of Spin-Wave”, Jetp Lett., 39:7 (1984), 354–357 |
84. |
Ir Gabitov, Ve Zakharov, Av Mikhailov, “Nonlinear-Theory of Superfluorescence”, Zhurnal Eksperimentalnoi Teor. Fiz., 86:4 (1984), 1204–1216 |
85. |
Ir Gabitov, Ve Zakharov, Av Mikhailov, “Superfluorescence Pulse Shape”, Jetp Lett., 37:5 (1983), 279–282 |
86. |
Av Mikhailov, AI Yaremchuk, “Axially Symmetrical Solutions of the Two-Dimensional Heisenberg-Model”, Jetp Lett., 36:3 (1982), 95–100 |
87. |
Av Mikhailov, “Relativistically Invariant Models of the Field-Theory Integrable By the Inverse Scattering Method”, Lecture Notes in Mathematics, 970 (1982), 186–196 |
88. |
Av Mikhailov, “Reduction in Integrable Systems - the Reduction Group”, Jetp Lett., 32:2 (1980), 174–178 |
89. |
Av Mikhailov, “Integrability of a Two-Dimensional Generalization of the Toda Chain”, Jetp Lett., 30:7 (1979), 414–418 |
90. |
Av Mikhailov, Am Perelomov, “Instanton-Type Solutions in Super-Symmetrical Chiral Models”, Jetp Lett., 29:7 (1979), 403–407 |
91. |
Av Mikhailov, “Integrability of Supersymmetrical Generalizations of Classical Chiral Models in 2-Dimensional Space-Time”, Jetp Lett., 28:8 (1978), 512–516 |
92. |
Ve Zakharov, Av Mikhailov, “Example of Nontrivial Interaction of Solitons in 2-Dimensional Classical Field-Theory”, Jetp Lett., 27:1 (1978), 42–46 |
93. |
Vs Lvov, Av Mikhailov, “Scattering and Interaction of Sound With Sound in a Turbulent Medium”, Zhurnal Eksperimentalnoi Teor. Fiz., 75:5 (1978), 1669–1682 |
94. |
Vs Lvov, Av Mikhailov, “Sound and Hydrodynamic Turbulence in a Compressible Liquid”, Zhurnal Eksperimentalnoi Teor. Fiz., 74:4 (1978), 1445–1457 |
95. |
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 |
96. |
Av Mikhailov, “Integrability of 2-Dimensional Thirring Model”, Jetp Lett., 23:6 (1976), 320–323 |
97. |
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 |
98. |
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 |
99. |
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 |
100. |
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 |
101. |
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 |
102. |
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 |
103. |
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 |
104. |
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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