Smirnov Aleksandr Olegovich

Publications in Math-Net.Ru

1. Finite-gap solutions of the real modified Korteweg–de Vries equation
   
   TMF, 220:1 (2024),  191–209
2. Vector form of Kundu–Eckhaus equation and its simplest solutions
   
   Ufimsk. Mat. Zh., 15:3 (2023),  151–166
3. Dubrovin method and Toda lattice
   
   Algebra i Analiz, 34:6 (2022),  170–196
4. On soliton solutions and soliton interactions of Kulish–Sklyanin and Hirota–Ohta systems
   
   TMF, 213:1 (2022),  20–40
5. Elliptic solitons and «freak waves»
   
   Algebra i Analiz, 33:3 (2021),  129–168
6. Generalized invariant manifolds for integrable equations and their applications
   
   Ufimsk. Mat. Zh., 13:2 (2021),  141–157
7. Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy
   
   Ufimsk. Mat. Zh., 13:2 (2021),  86–103
8. Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples
   
   TMF, 204:3 (2020),  383–395
9. 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
10. Quasirenormalizable quantum field theories
    
    TMF, 200:2 (2019),  290–309
11. Two-phase periodic solutions to the AKNS hierarchy equations
    
    Zap. Nauchn. Sem. POMI, 473 (2018),  205–227
12. Solutions of the Ablowitz–Kaup–Newell–Segur hierarchy equations of the “rogue wave” type: A unified approach
    
    TMF, 186:2 (2016),  191–220
13. Quasi-rational solutions of nonlinear Schrödinger equation
    
    Nelin. Dinam., 11:2 (2015),  219–240
14. Three-Phase Freak Waves
    
    SIGMA, 11 (2015), 032, 14 pp.
15. Rational top and its classical $r$-matrix
    
    J. Phys. A, 47:30 (2014), 305207, 19 pp.
16. Periodic Two-Phase “Rogue Waves”
    
    Mat. Zametki, 94:6 (2013),  871–883
17. Constructed in the elliptic functions three-phase solutions for the nonlinear Schrödinger equation
    
    Nelin. Dinam., 9:3 (2013),  389–407
18. Solution of a nonlinear Schrödinger equation in the form of two-phase freak waves
    
    TMF, 173:1 (2012),  89–103
19. Elliptic breather for nonlinear Shrödinger equation
    
    Zap. Nauchn. Sem. POMI, 398 (2012),  209–222
20. Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg–de Vries equations
    
    Nelin. Dinam., 7:2 (2011),  239–256
21. On spectral curve for functional-difference Shrödinger equation
    
    Zap. Nauchn. Sem. POMI, 374 (2010),  107–120
22. Cylindrical Kadomtsev–Petviashvili equation: Old and new results
    
    TMF, 152:2 (2007),  304–320
23. The Heun Equation and the Darboux Transformation
    
    Mat. Zametki, 79:2 (2006),  267–277
24. Two-gap elliptic solutions of the Boussinesq equation
    
    Mat. Sb., 190:5 (1999),  139–157
25. 3-Elliptic solutions of the sine-Gordon equation
    
    Mat. Zametki, 62:3 (1997),  440–450
26. On a class of elliptic potentials of the Dirac operator
    
    Mat. Sb., 188:1 (1997),  109–128
27. Real elliptic solutions of equations related to the sine-Gordon equation
    
    Algebra i Analiz, 8:3 (1996),  196–211
28. On some set of elliptic solutions of the Boussinesq equation
    
    TMF, 109:3 (1996),  347–356
29. Elliptic in $t$ solutions of the nonlinear Schrödinger equation
    
    TMF, 107:2 (1996),  188–200
30. Two-gap elliptic solutions to integrable nonlinear equations
    
    Mat. Zametki, 58:1 (1995),  86–97
31. The Dirac operator with elliptic potential
    
    Mat. Sb., 186:8 (1995),  133–141
32. Elliptic solutions of the nonlinear Schrödinger equation and the modified Korteweg–de Vries equation
    
    Mat. Sb., 185:8 (1994),  103–114
33. Solutions of the KdV equation elliptic in $t$
    
    TMF, 100:2 (1994),  183–198
34. Real elliptic solutions of the “sine-Gordon” equation
    
    Mat. Sb., 181:6 (1990),  804–812
35. Elliptic solutions of integrable nonlinear equations
    
    Mat. Zametki, 46:5 (1989),  100–102
36. Star-triangle equations and some properties of algebraic curves connected with the integrable chiral Potts model
    
    Mat. Zametki, 46:3 (1989),  31–39
37. Elliptic solutions of the Korteweg–de Vries equation
    
    Mat. Zametki, 45:6 (1989),  66–73
38. Finite-gap solutions of Abelian Toda chain of genus 4 and 5 in elliptic functions
    
    TMF, 78:1 (1989),  11–21
39. On the simplest trigonal solutions of the Boussinesq equation and the Kadomtsev–Petviashvili equation
    
    Dokl. Akad. Nauk SSSR, 293:1 (1987),  78–82
40. 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
41. Real finite-gap regular solutions of the Kaup–Boussinesq equation
    
    TMF, 66:1 (1986),  30–46
42. On the connection of Kadomtaev–Petviashvili equation and Johnson equation
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  70–75