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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
A. O. Smirnov, I. V. Anisimov, “Finite-gap solutions of the real modified Korteweg–de Vries equation”, TMF, 220:1 (2024), 191–209 ; Theoret. and Math. Phys., 220:1 (2024), 1224–1240 |
2. |
A. O. Smirnov, S. D. Shilovsky, “On vector derivative nonlinear Schrödinger equation”, Ufimsk. Mat. Zh., 16:3 (2024), 96–110 ; Ufa Math. J., 16:3 (2024), 92–106 |
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2023 |
3. |
A. O. Smirnov, A. A. Caplieva, “Vector form of Kundu–Eckhaus equation and its simplest solutions”, Ufimsk. Mat. Zh., 15:3 (2023), 151–166 ; Ufa Math. J., 15:3 (2023), 148–163 |
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2022 |
4. |
V. B. Matveev, A. O. Smirnov, “Dubrovin method and Toda lattice”, Algebra i Analiz, 34:6 (2022), 170–196 ; St. Petersburg Math. J., 34:6 (2023), 1019–1037 |
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5. |
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 ; Theoret. and Math. Phys., 213:1 (2022), 1331–1347 |
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2021 |
6. |
V. B. Matveev, A. O. Smirnov, “Elliptic solitons and «freak waves»”, Algebra i Analiz, 33:3 (2021), 129–168 ; St. Petersburg Math. J., 33:3 (2022), 523–551 |
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7. |
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 ; Ufa Math. J., 13:2 (2021), 135–151 |
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8. |
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 ; Ufa Math. J., 13:2 (2021), 81–98 |
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2020 |
9. |
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 ; Theoret. and Math. Phys., 204:3 (2020), 1154–1165 |
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10. |
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 ; Theoret. and Math. Phys., 204:3 (2020), 1110–1129 |
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2019 |
11. |
M. V. Polyakov, K. M. Semenov-Tian-Shansky, A. O. Smirnov, A. A. Vladimirov, “Quasirenormalizable quantum field theories”, TMF, 200:2 (2019), 290–309 ; Theoret. and Math. Phys., 200:2 (2019), 1176–1192 |
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2018 |
12. |
V. B. Matveev, A. O. Smirnov, “Two-phase periodic solutions to the AKNS hierarchy equations”, Zap. Nauchn. Sem. POMI, 473 (2018), 205–227 ; J. Math. Sci. (N. Y.), 242:5 (2019), 722–741 |
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2016 |
13. |
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 ; Theoret. and Math. Phys., 186:2 (2016), 156–182 |
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2015 |
14. |
V. B. Matveev, P. Dubard, A. O. Smirnov, “Quasi-rational solutions of nonlinear Schrödinger equation”, Nelin. Dinam., 11:2 (2015), 219–240 |
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15. |
Aleksandr O. Smirnov, Sergei G. Matveenko, Sergei K. Semenov, Elena G. Semenova, “Three-Phase Freak Waves”, SIGMA, 11 (2015), 032, 14 pp. |
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2014 |
16. |
G. Aminov, S. Arthamonov, A. Smirnov, A. Zotov, “Rational top and its classical $r$-matrix”, J. Phys. A, 47:30 (2014), 305207, 19 pp. |
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2013 |
17. |
A. O. Smirnov, “Periodic Two-Phase “Rogue Waves””, Mat. Zametki, 94:6 (2013), 871–883 ; Math. Notes, 94:6 (2013), 897–907 |
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18. |
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 |
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2012 |
19. |
A. O. Smirnov, “Solution of a nonlinear Schrödinger equation in the form of two-phase
freak waves”, TMF, 173:1 (2012), 89–103 ; Theoret. and Math. Phys., 173:1 (2012), 1403–1416 |
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20. |
A. O. Smirnov, “Elliptic breather for nonlinear Shrödinger equation”, Zap. Nauchn. Sem. POMI, 398 (2012), 209–222 ; J. Math. Sci. (N. Y.), 192:1 (2013), 117–125 |
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2011 |
21. |
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 |
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2010 |
22. |
G. M. Golovachev, A. O. Smirnov, “On spectral curve for functional-difference Shrödinger equation”, Zap. Nauchn. Sem. POMI, 374 (2010), 107–120 ; J. Math. Sci. (N. Y.), 168:6 (2010), 820–828 |
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2007 |
23. |
C. Klein, V. B. Matveev, A. O. Smirnov, “Cylindrical Kadomtsev–Petviashvili equation: Old and new results”, TMF, 152:2 (2007), 304–320 ; Theoret. and Math. Phys., 152:2 (2007), 1132–1145 |
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2006 |
24. |
Yu. N. Sirota, A. O. Smirnov, “The Heun Equation and the Darboux Transformation”, Mat. Zametki, 79:2 (2006), 267–277 ; Math. Notes, 79:2 (2006), 244–253 |
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1999 |
25. |
A. O. Smirnov, “Two-gap elliptic solutions of the Boussinesq equation”, Mat. Sb., 190:5 (1999), 139–157 ; Sb. Math., 190:5 (1999), 763–781 |
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1997 |
26. |
A. O. Smirnov, “3-Elliptic solutions of the sine-Gordon equation”, Mat. Zametki, 62:3 (1997), 440–450 ; Math. Notes, 62:3 (1997), 368–376 |
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27. |
A. O. Smirnov, “On a class of elliptic potentials of the Dirac operator”, Mat. Sb., 188:1 (1997), 109–128 ; Sb. Math., 188:1 (1997), 115–135 |
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1996 |
28. |
A. O. Smirnov, “Real elliptic solutions of equations related to the sine-Gordon equation”, Algebra i Analiz, 8:3 (1996), 196–211 ; St. Petersburg Math. J., 8:3 (1997), 513–524 |
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29. |
A. O. Smirnov, “On some set of elliptic solutions of the Boussinesq equation”, TMF, 109:3 (1996), 347–356 ; Theoret. and Math. Phys., 109:3 (1996), 1515–1522 |
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30. |
A. O. Smirnov, “Elliptic in $t$ solutions of the nonlinear Schrödinger equation”, TMF, 107:2 (1996), 188–200 ; Theoret. and Math. Phys., 107:2 (1996), 568–578 |
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1995 |
31. |
A. O. Smirnov, “Two-gap elliptic solutions to integrable nonlinear equations”, Mat. Zametki, 58:1 (1995), 86–97 ; Math. Notes, 58:1 (1995), 735–743 |
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32. |
A. O. Smirnov, “The Dirac operator with elliptic potential”, Mat. Sb., 186:8 (1995), 133–141 ; Sb. Math., 186:8 (1995), 1213–1221 |
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1994 |
33. |
A. O. Smirnov, “Elliptic solutions of the nonlinear Schrödinger equation and the modified Korteweg–de Vries equation”, Mat. Sb., 185:8 (1994), 103–114 ; Russian Acad. Sci. Sb. Math., 82:2 (1995), 461–470 |
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34. |
A. O. Smirnov, “Solutions of the KdV equation elliptic in $t$”, TMF, 100:2 (1994), 183–198 ; Theoret. and Math. Phys., 100:2 (1994), 937–947 |
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1990 |
35. |
A. O. Smirnov, “Real elliptic solutions of the “sine-Gordon” equation”, Mat. Sb., 181:6 (1990), 804–812 ; Math. USSR-Sb., 70:1 (1991), 231–240 |
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1989 |
36. |
A. O. Smirnov, “Elliptic solutions of integrable nonlinear equations”, Mat. Zametki, 46:5 (1989), 100–102 |
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37. |
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 ; Math. Notes, 46:3 (1989), 701–706 |
1
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38. |
A. O. Smirnov, “Elliptic solutions of the Korteweg–de Vries equation”, Mat. Zametki, 45:6 (1989), 66–73 ; Math. Notes, 45:6 (1989), 467–481 |
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39. |
A. O. Smirnov, “Finite-gap solutions of Abelian Toda chain of genus 4 and 5 in elliptic functions”, TMF, 78:1 (1989), 11–21 ; Theoret. and Math. Phys., 78:1 (1989), 6–13 |
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1987 |
40. |
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 |
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41. |
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 ; Math. USSR-Sb., 61:2 (1988), 379–388 |
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1986 |
42. |
A. O. Smirnov, “Real finite-gap regular solutions of the Kaup–Boussinesq equation”, TMF, 66:1 (1986), 30–46 ; Theoret. and Math. Phys., 66:1 (1986), 19–31 |
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43. |
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 |
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Presentations in Math-Net.Ru |
1. |
Elliptic in $t$ finite zone solutions of Toda lattice A. O. Smirnov
Theory of Riemann surfaces: methods and applications November 14, 2024 17:30
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2. |
Вещественное уравнение мКдФ: классическая и альтернативные формулы конечнозонных решений A. O. Smirnov
Conference "50 years of finite-gap integration" September 18, 2024 11:10
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3. |
Spectral curves and vector integrable nonlinear equations A. O. Smirnov
Spectral theory, nonlinear problems, and applications December 10, 2023 11:45
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4. |
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
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5. |
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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Organisations |
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