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Matveev, Vladimir Borisovich
E-mail:

https://www.mathnet.ru/eng/person19991
List of publications on Google Scholar
https://zbmath.org/authors/ai:matveev.vladimir-b
https://mathscinet.ams.org/mathscinet/MRAuthorID/191115

Publications in Math-Net.Ru Citations
2022
1. 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
2. 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
3. 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
4. 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
5. 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 12
6. 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
2018
7. 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 12
2016
8. 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 35
2015
9. V. B. Matveev, P. Dubard, A. O. Smirnov, “Quasi-rational solutions of nonlinear Schrödinger equation”, Nelin. Dinam., 11:2 (2015),  219–240  mathnet 2
2007
10. 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
2002
11. V. B. Matveev, “Positons: Slowly Decreasing Analogues of Solitons”, TMF, 131:1 (2002),  44–61  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 131:1 (2002), 483–497  isi 96
2000
12. D. A. Korotkin, V. B. Matveev, “Theta Function Solutions of the Schlesinger System and the Ernst Equation”, Funktsional. Anal. i Prilozhen., 34:4 (2000),  18–34  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 34:4 (2000), 252–264  isi 18
1994
13. Roland Beutler, Vladimir B. Matveev, “Do nonsingular globaly bounded positon solutions exist?”, Zap. Nauchn. Sem. POMI, 215 (1994),  38–49  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 85:1 (1997), 1578–1585 1
1989
14. D. A. Korotkin, V. B. Matveev, “Algebro-geometric solutions of gravitation equations”, Algebra i Analiz, 1:2 (1989),  77–102  mathnet  mathscinet  zmath; Leningrad Math. J., 1:2 (1990), 379–408 4
15. 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
1987
16. 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
1986
17. E. D. Belokolos, A. I. Bobenko, V. B. Matveev, V. Z. Ènol'skii, “Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations”, Uspekhi Mat. Nauk, 41:2(248) (1986),  3–42  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:2 (1986), 1–49  isi 57
18. 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
1985
19. M. V. Babich, A. I. Bobenko, V. B. Matveev, “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  mathnet  mathscinet  zmath; Math. USSR-Izv., 26:3 (1986), 479–496 18
20. V. M. Babich, V. B. Matveev, M. A. Sall', “Binary Darboux transformation for the Toda lattice”, Zap. Nauchn. Sem. LOMI, 145 (1985),  34–45  mathnet  mathscinet  zmath 4
1983
21. M. V. Babich, A. I. Bobenko, V. B. Matveev, “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  mathnet  mathscinet  zmath 11
1982
22. A. I. Bobenko, V. B. Matveev, M. A. Sall', “Nonlocal Korteweg–de Vries and Kadomtsev–Petviashvili equations”, Dokl. Akad. Nauk SSSR, 265:6 (1982),  1357–1360  mathnet 5
23. V. B. Matveev, M. A. Sall', “The solution scattering in the Darboux transformation formalism”, Zap. Nauchn. Sem. LOMI, 120 (1982),  136–141  mathnet  mathscinet  zmath
1981
24. M. A. Sall', V. B. Matveev, “Nonlocal analogues of the Korteweg–de Vries and Kadomtsev–Petviashvili equations”, Dokl. Akad. Nauk SSSR, 261:3 (1981),  533–537  mathnet  mathscinet  zmath 2
25. V. B. Matveev, M. A. Sall', “Barboux transformation and two-dimensional Toda lattice”, Zap. Nauchn. Sem. LOMI, 101 (1981),  111–118  mathnet  mathscinet  zmath; J. Soviet Math., 23:4 (1983), 2441–2446 6
26. A. R. Its, V. B. Matveev, “Algebrogeometrical integration of the MNS equation, the finite-gap solutions and their degeneration”, Zap. Nauchn. Sem. LOMI, 101 (1981),  64–76  mathnet  mathscinet  zmath; J. Soviet Math., 23:4 (1983), 2412–2420 10
1978
27. L. A. Bordag, V. B. Matveev, “Self-similar solutions of the Korteweg–de Vries equation and potentials with a trivial $S$-matrix”, TMF, 34:3 (1978),  426–430  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 34:3 (1978), 272–275 7
1976
28. B. A. Dubrovin, V. B. Matveev, S. P. Novikov, “Non-linear equations of Korteweg–de Vries type, finite-zone linear operators, and Abelian varieties”, Uspekhi Mat. Nauk, 31:1(187) (1976),  55–136  mathnet  mathscinet  zmath; Russian Math. Surveys, 31:1 (1976), 59–146 536
1975
29. A. R. Its, V. B. Matveev, “vHill's operator with finitely many gaps”, Funktsional. Anal. i Prilozhen., 9:1 (1975),  69–70  mathnet  mathscinet  zmath; Funct. Anal. Appl., 9:1 (1975), 65–66 141
30. A. R. Its, V. B. Matveev, “Schrödinger operators with finite-gap spectrum and $N$-soliton solutions of the Korteweg–de Vries equation”, TMF, 23:1 (1975),  51–68  mathnet  mathscinet; Theoret. and Math. Phys., 23:1 (1975), 343–355 210
31. A. R. Its, V. B. Matveev, “Coordinate asymptotic for Schrödinger equation with a rapidly oscillating potential”, Zap. Nauchn. Sem. LOMI, 51 (1975),  119–122  mathnet  mathscinet  zmath
1973
32. V. B. Matveev, “Wave operators and positive eigenvalues for a Schrödinger equation with oscillating potential”, TMF, 15:3 (1973),  353–366  mathnet; Theoret. and Math. Phys., 15:3 (1973), 574–583 15
1972
33. V. B. Matveev, M. M. Skriganov, “Wave operators for the Schrödinger equation with rapidly oscillating potential”, Dokl. Akad. Nauk SSSR, 202:4 (1972),  755–757  mathnet  mathscinet  zmath 2
34. V. B. Matveev, M. M. Skriganov, “Scattering problem for radial Schrödinger equation with a slowly decreasing potential”, TMF, 10:2 (1972),  238–248  mathnet  zmath; Theoret. and Math. Phys., 10:2 (1972), 156–164 15
1971
35. V. B. Matveev, “Invariance principle for generalized wave operators”, TMF, 8:1 (1971),  49–54  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 8:1 (1971), 663–667 1
1970
36. V. S. Buslaev, V. B. Matveev, “Wave operators for the Schrödinger equation with a slowly decreasing potential”, TMF, 2:3 (1970),  367–376  mathnet  mathscinet; Theoret. and Math. Phys., 2:3 (1970), 266–274 51
2002
37. V. B. Matveev, “Positons: Slowly Decreasing Analogues of Solitons [Erratum]”, TMF, 131:2 (2002),  352  mathnet  mathscinet
1996
38. A. I. Bobenko, A. M. Il'in, S. Yu. Dobrokhotov, A. R. Its, L. A. Kalyakin, V. B. Matveev, V. Yu. Novokshenov, A. B. Shabat, “Ramil' Faritovich Bikbaev (obituary)”, Uspekhi Mat. Nauk, 51:1(307) (1996),  133–136  mathnet  mathscinet; Russian Math. Surveys, 51:1 (1996), 129–133  isi
39. V. B. Matveev, “Geometry and Mathematical Physics. Editor's preface”, Zap. Nauchn. Sem. POMI, 235 (1996),  6  mathnet  zmath; J. Math. Sci. (New York), 94:4 (1999), 1447
40. V. B. Matveev, “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  mathnet  zmath; J. Math. Sci. (New York), 94:2 (1999), 1137
1975
41. S. Yu. Dobrokhotov, V. P. Maslov, P. P. Mosolov, B. M. Gurevich, Yu. M. Sukhov, V. A. Zlatoustov, V. B. Matveev, A. P. Markeev, Ya. B. Zel'dovich, V. A. Marchenko, E. Ya. Khruslov, “Sessions of the I. G. Petrovskii Seminar on Differential Equations and Mathematical Problems of Physics”, Uspekhi Mat. Nauk, 30:6(186) (1975),  197–206  mathnet  mathscinet 5

Presentations in Math-Net.Ru
1. Method of Darboux Transformations in the Theory of Integrable Systems: 30 years of development
V. B. Matveev
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
March 16, 2009 13:00   

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