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Smirnov, Aleksandr Olegovich
Statistics
Total publications: 46
Scientific articles: 46
Presentations: 6

Number of views:
This page:2443
Abstract pages:21463
Full texts:7740
References:3445
Associate professor
Doctor of physico-mathematical sciences
Birth date: 28.03.1962
E-mail:

https://www.mathnet.ru/eng/person8345
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/230271

Publications in Math-Net.Ru Citations
2025
1. A. O. Smirnov, “Finite-gap solutions to the mKdV equation: classical and alternative formulae”, Algebra i Analiz, 37:2 (2025),  156–176  mathnet
2. A. O. Smirnov, M. M. Prikhod'ko, “Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions”, TMF, 224:1 (2025),  224–239  mathnet  mathscinet; Theoret. and Math. Phys., 224:1 (2025), 1295–1309  scopus 1
3. A. O. Smirnov, D. V. Sugak, “The Manakov system and Fuchsian equations”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 12:2 (2025),  269–285  mathnet
2024
4. A. O. Smirnov, I. V. Anisimov, “Finite-gap solutions of the real modified Korteweg–de Vries equation”, TMF, 220:1 (2024),  191–209  mathnet  mathscinet; Theoret. and Math. Phys., 220:1 (2024), 1224–1240  scopus 2
5. A. O. Smirnov, S. D. Shilovsky, “On vector derivative nonlinear Schrödinger equation”, Ufimsk. Mat. Zh., 16:3 (2024),  96–110  mathnet; Ufa Math. J., 16:3 (2024), 92–106 2
2023
6. A. O. Smirnov, A. A. Caplieva, “Vector form of Kundu–Eckhaus equation and its simplest solutions”, Ufimsk. Mat. Zh., 15:3 (2023),  151–166  mathnet; Ufa Math. J., 15:3 (2023), 148–163 10
2022
7. V. B. Matveev, A. O. Smirnov, “Dubrovin method and Toda lattice”, Algebra i Analiz, 34:6 (2022),  170–196  mathnet; St. Petersburg Math. J., 34:6 (2023), 1019–1037 1
8. V. S. Gerdjikov, Nianhua Li, V. B. Matveev, A. O. Smirnov, “On soliton solutions and soliton interactions of Kulish–Sklyanin and Hirota–Ohta systems”, TMF, 213:1 (2022),  20–40  mathnet  mathscinet; Theoret. and Math. Phys., 213:1 (2022), 1331–1347  scopus 3
2021
9. V. B. Matveev, A. O. Smirnov, “Elliptic solitons and «freak waves»”, Algebra i Analiz, 33:3 (2021),  129–168  mathnet; St. Petersburg Math. J., 33:3 (2022), 523–551 4
10. I. T. Habibullin, A. R. Khakimova, A. O. Smirnov, “Generalized invariant manifolds for integrable equations and their applications”, Ufimsk. Mat. Zh., 13:2 (2021),  141–157  mathnet; Ufa Math. J., 13:2 (2021), 135–151  isi  scopus 4
11. A. O. Smirnov, V. B. Matveev, “Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy”, Ufimsk. Mat. Zh., 13:2 (2021),  86–103  mathnet; Ufa Math. J., 13:2 (2021), 81–98  isi  scopus 7
2020
12. V. B. Matveev, A. O. Smirnov, “Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples”, TMF, 204:3 (2020),  383–395  mathnet  mathscinet  elib; Theoret. and Math. Phys., 204:3 (2020), 1154–1165  isi  scopus 13
13. V. S. Gerdjikov, A. A. Stefanov, I. D. Iliev, G. P. Boyadjiev, A. O. Smirnov, V. B. Matveev, M. V. Pavlov, “Recursion operators and hierarchies of $\text{mKdV}$ equations related to the Kac–Moody algebras $D_4^{(1)}$, $D_4^{(2)}$, and $D_4^{(3)}$”, TMF, 204:3 (2020),  332–354  mathnet  mathscinet  elib; Theoret. and Math. Phys., 204:3 (2020), 1110–1129  isi  scopus 6
2019
14. M. V. Polyakov, K. M. Semenov-Tian-Shansky, A. O. Smirnov, A. A. Vladimirov, “Quasirenormalizable quantum field theories”, TMF, 200:2 (2019),  290–309  mathnet  mathscinet  elib; Theoret. and Math. Phys., 200:2 (2019), 1176–1192  isi  scopus 3
2018
15. V. B. Matveev, A. O. Smirnov, “Two-phase periodic solutions to the AKNS hierarchy equations”, Zap. Nauchn. Sem. POMI, 473 (2018),  205–227  mathnet; J. Math. Sci. (N. Y.), 242:5 (2019), 722–741  scopus 13
2016
16. V. B. Matveev, A. O. Smirnov, “Solutions of the Ablowitz–Kaup–Newell–Segur hierarchy equations of the “rogue wave” type: A unified approach”, TMF, 186:2 (2016),  191–220  mathnet  mathscinet  elib; Theoret. and Math. Phys., 186:2 (2016), 156–182  isi  scopus 37
2015
17. V. B. Matveev, P. Dubard, A. O. Smirnov, “Quasi-rational solutions of nonlinear Schrödinger equation”, Nelin. Dinam., 11:2 (2015),  219–240  mathnet 2
18. Aleksandr O. Smirnov, Sergei G. Matveenko, Sergei K. Semenov, Elena G. Semenova, “Three-Phase Freak Waves”, SIGMA, 11 (2015), 032, 14 pp.  mathnet  mathscinet  isi  scopus 4
2014
19. G. Aminov, S. Arthamonov, A. Smirnov, A. Zotov, “Rational top and its classical $r$-matrix”, J. Phys. A, 47:30 (2014), 305207, 19 pp.  mathnet  mathscinet  zmath  isi  elib  scopus 19
2013
20. A. O. Smirnov, “Periodic Two-Phase “Rogue Waves””, Mat. Zametki, 94:6 (2013),  871–883  mathnet  mathscinet  zmath  elib; Math. Notes, 94:6 (2013), 897–907  isi  elib  scopus 22
21. Alexander O. Smirnov, Grigory M. Golovachev, “Constructed in the elliptic functions three-phase solutions for the nonlinear Schrödinger equation”, Nelin. Dinam., 9:3 (2013),  389–407  mathnet 5
2012
22. A. O. Smirnov, “Solution of a nonlinear Schrödinger equation in the form of two-phase freak waves”, TMF, 173:1 (2012),  89–103  mathnet  mathscinet  elib; Theoret. and Math. Phys., 173:1 (2012), 1403–1416  isi  elib  scopus 19
23. A. O. Smirnov, “Elliptic breather for nonlinear Shrödinger equation”, Zap. Nauchn. Sem. POMI, 398 (2012),  209–222  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:1 (2013), 117–125  scopus 5
2011
24. A. O. Smirnov, G. M. Golovachev, E. G. Amosenok, “Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg–de Vries equations”, Nelin. Dinam., 7:2 (2011),  239–256  mathnet  elib 3
2010
25. G. M. Golovachev, A. O. Smirnov, “On spectral curve for functional-difference Shrödinger equation”, Zap. Nauchn. Sem. POMI, 374 (2010),  107–120  mathnet  elib; J. Math. Sci. (N. Y.), 168:6 (2010), 820–828  scopus 1
2007
26. C. Klein, V. B. Matveev, A. O. Smirnov, “Cylindrical Kadomtsev–Petviashvili equation: Old and new results”, TMF, 152:2 (2007),  304–320  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 152:2 (2007), 1132–1145  isi  scopus 26
2006
27. Yu. N. Sirota, A. O. Smirnov, “The Heun Equation and the Darboux Transformation”, Mat. Zametki, 79:2 (2006),  267–277  mathnet  mathscinet  zmath  elib; Math. Notes, 79:2 (2006), 244–253  isi  scopus 4
1999
28. A. O. Smirnov, “Two-gap elliptic solutions of the Boussinesq equation”, Mat. Sb., 190:5 (1999),  139–157  mathnet  mathscinet  zmath  elib; Sb. Math., 190:5 (1999), 763–781  isi  scopus 4
1997
29. A. O. Smirnov, “3-Elliptic solutions of the sine-Gordon equation”, Mat. Zametki, 62:3 (1997),  440–450  mathnet  mathscinet  zmath; Math. Notes, 62:3 (1997), 368–376  isi 8
30. A. O. Smirnov, “On a class of elliptic potentials of the Dirac operator”, Mat. Sb., 188:1 (1997),  109–128  mathnet  mathscinet  zmath  elib; Sb. Math., 188:1 (1997), 115–135  isi  scopus 10
1996
31. A. O. Smirnov, “Real elliptic solutions of equations related to the sine-Gordon equation”, Algebra i Analiz, 8:3 (1996),  196–211  mathnet  mathscinet  zmath; St. Petersburg Math. J., 8:3 (1997), 513–524 2
32. A. O. Smirnov, “On some set of elliptic solutions of the Boussinesq equation”, TMF, 109:3 (1996),  347–356  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 109:3 (1996), 1515–1522  isi 5
33. A. O. Smirnov, “Elliptic in $t$ solutions of the nonlinear Schrödinger equation”, TMF, 107:2 (1996),  188–200  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 107:2 (1996), 568–578  isi 14
1995
34. A. O. Smirnov, “Two-gap elliptic solutions to integrable nonlinear equations”, Mat. Zametki, 58:1 (1995),  86–97  mathnet  mathscinet  zmath; Math. Notes, 58:1 (1995), 735–743  isi 15
35. A. O. Smirnov, “The Dirac operator with elliptic potential”, Mat. Sb., 186:8 (1995),  133–141  mathnet  mathscinet  zmath; Sb. Math., 186:8 (1995), 1213–1221  isi 8
1994
36. A. O. Smirnov, “Elliptic solutions of the nonlinear Schrödinger equation and the modified Korteweg–de Vries equation”, Mat. Sb., 185:8 (1994),  103–114  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 82:2 (1995), 461–470  isi 40
37. A. O. Smirnov, “Solutions of the KdV equation elliptic in $t$”, TMF, 100:2 (1994),  183–198  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 100:2 (1994), 937–947  isi 11
1990
38. A. O. Smirnov, “Real elliptic solutions of the “sine-Gordon” equation”, Mat. Sb., 181:6 (1990),  804–812  mathnet  mathscinet  zmath; Math. USSR-Sb., 70:1 (1991), 231–240  isi 13
1989
39. A. O. Smirnov, “Elliptic solutions of integrable nonlinear equations”, Mat. Zametki, 46:5 (1989),  100–102  mathnet  mathscinet  zmath 9
40. V. B. Matveev, A. O. Smirnov, “Star-triangle equations and some properties of algebraic curves connected with the integrable chiral Potts model”, Mat. Zametki, 46:3 (1989),  31–39  mathnet  mathscinet  zmath; Math. Notes, 46:3 (1989), 701–706  isi 1
41. A. O. Smirnov, “Elliptic solutions of the Korteweg–de Vries equation”, Mat. Zametki, 45:6 (1989),  66–73  mathnet  mathscinet  zmath; Math. Notes, 45:6 (1989), 467–481 24
42. A. O. Smirnov, “Finite-gap solutions of Abelian Toda chain of genus 4 and 5 in elliptic functions”, TMF, 78:1 (1989),  11–21  mathnet  mathscinet; Theoret. and Math. Phys., 78:1 (1989), 6–13  isi 17
1987
43. V. B. Matveev, A. O. Smirnov, “On the simplest trigonal solutions of the Boussinesq equation and the Kadomtsev–Petviashvili equation”, Dokl. Akad. Nauk SSSR, 293:1 (1987),  78–82  mathnet  mathscinet 5
44. A. O. Smirnov, “A matrix analogue of Appell's theorem and reductions of multidimensional Riemann theta-functions”, Mat. Sb. (N.S.), 133(175):3(7) (1987),  382–391  mathnet  mathscinet  zmath; Math. USSR-Sb., 61:2 (1988), 379–388 44
1986
45. A. O. Smirnov, “Real finite-gap regular solutions of the Kaup–Boussinesq equation”, TMF, 66:1 (1986),  30–46  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 66:1 (1986), 19–31  isi 46
46. V. D. Lipovskii, V. B. Matveev, A. O. Smirnov, “On the connection of Kadomtaev–Petviashvili equation and Johnson equation”, Zap. Nauchn. Sem. LOMI, 150 (1986),  70–75  mathnet  zmath 3

Presentations in Math-Net.Ru
1. One-phase solutions to the three-wave equation
A. O. Smirnov
Conference “Geometry, Topology and Mathematical Physics” dedicated to the memory of Sergey Petrovich Novikov
June 4, 2025 12:10   
2. Elliptic in $t$ finite zone solutions of Toda lattice
A. O. Smirnov
Theory of Riemann surfaces: methods and applications
November 14, 2024 17:30   
3. Вещественное уравнение мКдФ: классическая и альтернативные формулы конечнозонных решений
A. O. Smirnov
Conference "50 years of finite-gap integration"
September 18, 2024 11:10   
4. Spectral curves and vector integrable nonlinear equations
A. O. Smirnov
Spectral theory, nonlinear problems, and applications
December 10, 2023 11:45
5. Fuchsian equations and reduction of the Abelian differentials
A. O. Smirnov
Constructive Methods of the Theory of Riemann Surfaces and Applications
November 16, 2023 11:00   
6. Generalized invariant manifolds for integrable equations and their applications
I. T. Habibullin, A. R. Khakimova, A. O. Smirnov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 9, 2021 12:15   

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