Matveev Vladimir Borisovich

Publications in Math-Net.Ru

1. Dubrovin method and Toda lattice
   
   Algebra i Analiz, 34:6 (2022),  170–196
2. On soliton solutions and soliton interactions of Kulish–Sklyanin and Hirota–Ohta systems
   
   TMF, 213:1 (2022),  20–40
3. Elliptic solitons and «freak waves»
   
   Algebra i Analiz, 33:3 (2021),  129–168
4. Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy
   
   Ufimsk. Mat. Zh., 13:2 (2021),  86–103
5. Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples
   
   TMF, 204:3 (2020),  383–395
6. 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
7. Two-phase periodic solutions to the AKNS hierarchy equations
   
   Zap. Nauchn. Sem. POMI, 473 (2018),  205–227
8. Solutions of the Ablowitz–Kaup–Newell–Segur hierarchy equations of the “rogue wave” type: A unified approach
   
   TMF, 186:2 (2016),  191–220
9. Quasi-rational solutions of nonlinear Schrödinger equation
   
   Nelin. Dinam., 11:2 (2015),  219–240
10. Cylindrical Kadomtsev–Petviashvili equation: Old and new results
    
    TMF, 152:2 (2007),  304–320
11. Positons: Slowly Decreasing Analogues of Solitons
    
    TMF, 131:1 (2002),  44–61
12. Theta Function Solutions of the Schlesinger System and the Ernst Equation
    
    Funktsional. Anal. i Prilozhen., 34:4 (2000),  18–34
13. Do nonsingular globaly bounded positon solutions exist?
    
    Zap. Nauchn. Sem. POMI, 215 (1994),  38–49
14. Algebro-geometric solutions of gravitation equations
    
    Algebra i Analiz, 1:2 (1989),  77–102
15. Star-triangle equations and some properties of algebraic curves connected with the integrable chiral Potts model
    
    Mat. Zametki, 46:3 (1989),  31–39
16. On the simplest trigonal solutions of the Boussinesq equation and the Kadomtsev–Petviashvili equation
    
    Dokl. Akad. Nauk SSSR, 293:1 (1987),  78–82
17. Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations
    
    Uspekhi Mat. Nauk, 41:2(248) (1986),  3–42
18. On the connection of Kadomtaev–Petviashvili equation and Johnson equation
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  70–75
19. Solutions of nonlinear equations integrable in Jacobi theta functions by the method of the inverse problem, and symmetries of algebraic curves
    
    Izv. Akad. Nauk SSSR Ser. Mat., 49:3 (1985),  511–529
20. Binary Darboux transformation for the Toda lattice
    
    Zap. Nauchn. Sem. LOMI, 145 (1985),  34–45
21. Reductions of Riemann theta functions of genus $g$ to theta functions of lesser genus, and symmetries of algebraic curves
    
    Dokl. Akad. Nauk SSSR, 272:1 (1983),  13–17
22. Nonlocal Korteweg–de Vries and Kadomtsev–Petviashvili equations
    
    Dokl. Akad. Nauk SSSR, 265:6 (1982),  1357–1360
23. The solution scattering in the Darboux transformation formalism
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  136–141
24. Nonlocal analogues of the Korteweg–de Vries and Kadomtsev–Petviashvili equations
    
    Dokl. Akad. Nauk SSSR, 261:3 (1981),  533–537
25. Barboux transformation and two-dimensional Toda lattice
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  111–118
26. Algebrogeometrical integration of the MNS equation, the finite-gap solutions and their degeneration
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  64–76
27. Self-similar solutions of the Korteweg–de Vries equation and potentials with a trivial $S$-matrix
    
    TMF, 34:3 (1978),  426–430
28. Non-linear equations of Korteweg–de Vries type, finite-zone linear operators, and Abelian varieties
    
    Uspekhi Mat. Nauk, 31:1(187) (1976),  55–136
29. vHill's operator with finitely many gaps
    
    Funktsional. Anal. i Prilozhen., 9:1 (1975),  69–70
30. Schrödinger operators with finite-gap spectrum and $N$-soliton solutions of the Korteweg–de Vries equation
    
    TMF, 23:1 (1975),  51–68
31. Coordinate asymptotic for Schrödinger equation with a rapidly oscillating potential
    
    Zap. Nauchn. Sem. LOMI, 51 (1975),  119–122
32. Wave operators and positive eigenvalues for a Schrödinger equation with oscillating potential
    
    TMF, 15:3 (1973),  353–366
33. Wave operators for the Schrödinger equation with rapidly oscillating potential
    
    Dokl. Akad. Nauk SSSR, 202:4 (1972),  755–757
34. Scattering problem for radial Schrödinger equation with a slowly decreasing potential
    
    TMF, 10:2 (1972),  238–248
35. Invariance principle for generalized wave operators
    
    TMF, 8:1 (1971),  49–54
36. Wave operators for the Schrödinger equation with a slowly decreasing potential
    
    TMF, 2:3 (1970),  367–376


37. Positons: Slowly Decreasing Analogues of Solitons [Erratum]
    
    TMF, 131:2 (2002),  352
38. Ramil' Faritovich Bikbaev (obituary)
    
    Uspekhi Mat. Nauk, 51:1(307) (1996),  133–136
39. Geometry and Mathematical Physics. Editor's preface
    
    Zap. Nauchn. Sem. POMI, 235 (1996),  6
40. Geometry and mathematical physics (Proceedings of the Seminar devoted to the 200th anniversary of N. I. Lobachevski). Editor's preface
    
    Zap. Nauchn. Sem. POMI, 234 (1996),  5–6
41. Sessions of the I. G. Petrovskii Seminar on Differential Equations and Mathematical Problems of Physics
    
    Uspekhi Mat. Nauk, 30:6(186) (1975),  197–206