Edit Profile (opens in new tab) Buslaev, Vladimir Savel’evich Compute Distance To: Compute Author ID: buslaev.vladimir-s Published as: Buslaev, V. S.; Buslaev, V.; Buslaev, Vladimir; Buslaev, Vladimir S. more...less Homepage: http://math.nw.ru/site/en/people/Vladimir.Buslaev/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND Documents Indexed: 124 Publications since 1960, including 1 Book 2 Contributions as Editor Biographic References: 4 Publications Co-Authors: 49 Co-Authors with 83 Joint Publications 1,474 Co-Co-Authors all top 5 Co-Authors 35 single-authored 12 Budylin, A. M. 8 Merkur’ev, Stanislav Petrovich 7 Sukhanov, Vladimir V. 5 Faddeev, Lyudvig Dmitrievich 5 Fedotov, Alexander 5 Levin, S. B. 5 Perelman, Galina 5 Solomyak, Mikhaĭl Zakharovich 5 Yafaev, Dimitri R. 4 Dmitrieva, L. A. 4 Salikov, S. P. 3 Grigis, Alain 3 Rybakina, E. A. 3 Sulem, Catherine 2 Buldyrev, V. S. 2 Buslaeva, M. V. 2 Chernenko, V. G. 2 Gindikin, Simon Grigorevich 2 Komech, Alexander Ilich 2 Ladyzhenskaya, Ol’ga Aleksandrovna 2 Nalimova, E. A. 2 Pastur, Leonid Andreevich 2 Skriganov, Maxim M. 2 Vershik, Anatoliĭ Moiseevich 1 Alimov, A. L. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bakulenko, A. F. 1 Comech, Andrew 1 Fomin, Vladimir Nikolaevich 1 Gel’fand, Israil’ Moiseevich 1 Grecchi, Vincenzo 1 Grikurov, Valery E. 1 Grinina, E. A. 1 Khavin, Viktor Petrovich 1 Kislyakov, Sergeĭ Vital’evich 1 Kopylova, Elena A. 1 Laptev, Ari 1 Marchenko, Vladimir Aleksandrovich 1 Neittaanmäki, Pekka J. 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Plamenevskiĭ, Boris Alekseevich 1 Pozharskiĭ, A. A. 1 Pushnitski, Alexander B. 1 Strazdin, V. Yu. 1 Stuart, David M. A. 1 Suslina, Tat’yana Aleksandrovna 1 Takhtajan, Leon Armenovich 1 Ural’tseva, Nina Nikolaevna 1 Vaĭnberg, Boris Rufimovich all top 5 Serials 12 St. Petersburg Mathematical Journal 8 Journal of Soviet Mathematics 7 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 6 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 5 Theoretical and Mathematical Physics 5 Functional Analysis and its Applications 5 Soviet Mathematics. Doklady 5 Problemy Matematicheskoĭ Fiziki 4 Teoreticheskaya i Matematicheskaya Fizika 4 Algebra i Analiz 4 Soviet Physics. Doklady 3 Russian Mathematical Surveys 3 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya 2 Selecta Mathematica Sovietica 2 Vestnik Leningrad University. Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Mathematics and Computers in Simulation 1 Mathematics of the USSR. Izvestiya 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Asymptotic Analysis 1 Leningrad Mathematical Journal 1 Communications in Partial Differential Equations 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal of Physics A: Mathematical and General 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Séminaire Équations aux Dérivées Partielles 1 Journal of Mathematical Sciences (New York) 1 Doklady Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Oberwolfach Reports 1 Journal of Physics A: Mathematical and Theoretical 1 Translations. Series 2. American Mathematical Society all top 5 Fields 53 Partial differential equations (35-XX) 30 Quantum theory (81-XX) 28 Operator theory (47-XX) 25 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 6 Integral equations (45-XX) 5 History and biography (01-XX) 5 Difference and functional equations (39-XX) 4 Potential theory (31-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Abstract harmonic analysis (43-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 696 times in 417 Documents Cited by ▼ Year ▼ On asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1028.35139Buslaev, Vladimir S.; Sulem, Catherine 94 2003 On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108Buslaev, V. S.; Perel’man, G. S. 77 1995 Equivalence of unstable anharmonic oscillators and double wells. Zbl 0817.47077Buslaev, Vladimir; Grecchi, Vincenzo 43 1993 Formulas for traces for a singular Sturm-Liouville differential operator. Zbl 0129.06501Buslaev, V. S.; Faddeev, L. D. 38 1960 Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112Buslaev, V. S.; Perel’man, G. S. 33 1992 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 27 2008 Semiclassical approximation for equations with periodic coefficients. Zbl 0698.35130Buslaev, V. S. 18 1987 On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111Buslaev, V. S.; Perelman, Galina 18 1992 Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. Zbl 0862.35148Budylin, A. M.; Buslaev, V. S. 14 1995 On the difference equations with periodic coefficients. Zbl 1012.39008Buslaev, V.; Fedotov, A. 13 2001 On adiabatic perturbation of a periodic potential. Zbl 0534.34064Buslaev, V. S. 12 1984 Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A. 11 1986 Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146Buslaev, V. S.; Perel’man, G. S. 11 1992 Scattered plane waves, spectral asymptotics and trace formulas in exterior problems. Zbl 0224.47023Buslaev, V. S. 11 1971 Simulation of instability of bright solitons for NLS with saturating nonlinearity. Zbl 0972.78019Buslaev, V. S.; Grikurov, V. E. 10 2001 Bloch electron in an external field. Zbl 0714.34128Buslaev, V. S.; Dmitrieva, L. A. 8 1989 Adiabatic perturbation of a periodic potential. II. Zbl 0643.34068Buslaev, V. S.; Dmitrieva, L. A. 8 1987 Imagrinary parts of Stark-Wannier resonances. Zbl 1001.34075Buslaev, Vladimir; Grigis, Alain 8 1998 New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. Zbl 1193.81111Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T. 8 2010 Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003Budylin, A. M.; Buslaev, V. S. 7 1991 Monodromization and the Harper equation. Zbl 0880.34082Buslaev, V.; Fedotov, A. 7 1994 Turning points for adiabatically perturbed periodic equations. Zbl 0987.35013Buslaev, Vladimir; Grigis, Alain 7 2001 Potential theory and geometrical optics. Zbl 0284.35017Buslaev, V. S. 7 1971 Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation. Zbl 0296.35023Buslaev, V. S.; Skriganov, M. M. 7 1975 A Bloch electron in an external field. Zbl 0726.34070Buslaev, V. S.; Dmitrieva, L. A. 6 1990 Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times. Zbl 0597.35102Buslaev, V. S.; Sukhanov, V. V. 6 1986 Kronig-Penney electron in a homogeneous electric field. Zbl 0935.34072Buslaev, V. S. 6 1999 Über eine umgekehrte Dispersionsaufgabe für die eindimensionale Schrödingergleichung auf der ganzen Achse. Zbl 0243.34013Buslaev, V.; Fomin, V. 6 1962 Complex WKB method for Harper’s equation. Zbl 0821.34062Buslaev, V. S.; Fedotov, A. A. 5 1994 Adiabatic perturbation of a periodic potential. Zbl 0557.34053Buslaev, V. S. 5 1984 On the asymptotic behaviour for \(t\to \infty\) of the solutions of the equation \(\psi_{xx} + u(x,t) \psi + (\lambda/4) \psi = 0\) with a potential \(u\) satisfying the Korteweg-deVries equation. I. Zbl 0513.35011Buslaev, V. S.; Sukhanov, V. V. 5 1982 The complex WKB method for Harper’s equation. I. Zbl 0839.34066Buslaev, V. S.; Fedotov, A. A. 5 1994 Quantization and the WKB method. Zbl 0234.35011Buslaev, V. S. 5 1970 A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024Buslaev, V.; Pastur, L. 5 2002 Spurformeln und einige asymptotische Abschätzungen des Kerns der Resolvente für den Schrödingeroperator im dreidimensionalen Raum. Zbl 0203.13403Buslaev, V. S. 5 1966 The generating integral and the canonical Maslov operator in the WKB method. Zbl 0204.44805Buslaev, V. S. 5 1969 Asymptotic behavior of the eigenfunctions of the many-particle Schrödinger operator. I: One-dimensional particles. Zbl 1160.81476Buslaev, V. S.; Levin, S. B. 5 2008 Bloch solutions for difference equations. Zbl 0847.39002Buslaev, V. S.; Fedotov, A. A. 4 1995 Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles is free of diffractional effects. Zbl 0413.35058Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 4 1979 On the asymptotic behaviour of solutions of the Korteweg-deVries equation for long times. Zbl 0514.35077Buslaev, V. S.; Sukhanov, V. V. 4 1982 Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001Budylin, A. M.; Buslaev, V. S. 4 1993 Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. Zbl 0956.35114Budylin, A. M.; Buslaev, V. S. 4 1996 Asymptotic methods in problems of sound propagation in ocean wave guides and their numerical realization. Zbl 0482.76078Buldyrev, V. S.; Buslaev, V. S. 4 1981 Über das asymptotische Verhalten der spektralen Charakteristiken der Außenprobleme für den Schrödingeroperator. Zbl 0311.35010Buslaev, V. S. 4 1975 A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. Zbl 1272.81185Buslaev, V. S.; Levin, S. B. 4 2012 Bloch electrons in an external electric field. Zbl 0725.34097Buslaev, V. S.; Dmitrieva, L. A. 3 1989 The functional structure of the monodromy matrix for Harper’s equation. Zbl 0816.34058Buslaev, Vladimir; Fedotov, Alexander 3 1994 Variational calculus. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie). Zbl 0489.49001Buslaev, V. S. 3 1980 On the asymptotic behavior of the spectral characteristics of exterior problems for the Schrödinger operator. Zbl 0324.35006Buslaev, V. S. 3 1976 Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II: Charged one-dimensional particles. Zbl 1219.81235Buslaev, V. S.; Levin, S. B. 3 2011 The scattering matrix and associated formulas in Hamiltonian mechanics. Zbl 1218.37072Buslaev, Vladimir; Pushnitski, Alexander 3 2010 Spectral properties of the operators \(H\psi =-\psi_{xx}+p(x)\psi +v(\epsilon x)\psi\), p is periodic. Zbl 0723.47042Buslaev, V. S. 2 1990 The Harper equation: Monodromization without quasiclassics. Zbl 0849.34066Buslaev, V. S.; Fedotov, A. A. 2 1996 Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization. Zbl 0531.76089Buldyrev, V. S.; Buslaev, V. S. 2 1984 The trace formula in Hamiltonian mechanics. Zbl 0537.70016Buslaev, V. S.; Rybakina, E. A. 2 1982 On the asymptotic behaviour of solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with the potential u satisfying the Korteweg-de Vries equations, as t\(\to \infty\). II. Zbl 0559.35074Buslaev, V. S.; Sukhanov, V. V. 2 1984 Quasiclassical integral equations. Zbl 0769.45009Budylin, A. M.; Buslaev, V. S. 2 1991 Asymptotic behavior of solutions for t\(\to \infty\) of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with a potential u satisfying the Korteweg-de Vries equation. Zbl 0606.35078Buslaev, V. S.; Sukhanov, V. V. 2 1986 Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects. Zbl 0515.35069Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 2 1983 The trace formula for the nonlinear Klein-Gordon equation. Zbl 0807.35132Buslaev, V. S.; Rybakina, E. A. 2 1993 Trace formula in Lagrangian mechanics. Zbl 0598.70023Buslaev, V. S.; Nalimova, E. A. 2 1984 On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. Zbl 1026.01503Buslaev, V.; Solomyak, M.; Yafaev, D. 2 1999 Asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1017.35104Buslaev, Vladimir S.; Sulem, Catherine 2 2002 Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. Zbl 1307.35179Budylin, A. M.; Buslaev, V. S. 2 2014 The structure of an acoustic field near the surface of deep sea. Zbl 0482.76077Buslaev, V. S. 2 1981 On the diffraction characteristics of the scattering problem for a quantum system of three one-dimensional particles. Zbl 0494.47010Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 2 1979 On the continual integral for the parabolic equation of second order. Zbl 0226.35042Alimov, A. L.; Buslaev, V. S. 2 1972 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026Buslaev, V. S.; Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R. 2 2000 The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. Zbl 0966.35121Budylin, A. M.; Buslaev, V. S. 2 2000 Trace formulas for Schrödinger’s operator in three-space. Zbl 0118.09302Buslaev, V. S. 2 1962 On the short-wave asymptotic limit in the problem of diffraction by convex bodies. Zbl 0124.44801Buslaev, V. S. 2 1962 Kontinuierliche Integrale und die Asymptotik der Lösungen parabolischer Gleichungen für \(t\to 0\). Anwendungen auf die Diffraktion. Zbl 0164.12602Buslaev, V. S. 2 1967 Koordinatenasymptotik der Lösung des Streuungsproblems für die Schrödingergleichung. Zbl 0291.35020Buslaev, V. S.; Skriganov, M. M. 2 1974 Lokales spektrales asymptotisches Verhalten der Greenschen Funktion inäußeren Aufgaben für den Schrödinger-Operator. Zbl 0306.47005Buslaev, V. S. 2 1975 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 2 2010 Spectral properties of adiabatically perturbed differential operators with periodic coefficients. Zbl 0726.34068Buslaev, V. S. 1 1991 Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197Buslaev, V. S.; Perel’man, G. S. 1 1992 Trace formula in Hamiltonian mechanics. Zbl 0561.70016Buslaev, V. S.; Rybakina, E. A. 1 1985 On the asymptotic behavior as t\(\to \infty\) of the solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with potential u satisfying the Korteweg-de Vries equation. I. Zbl 0582.35008Buslaev, V. S.; Sukhanov, V. V. 1 1985 Über die Spurformeln in mehrkanaligen Aufgaben. Zbl 0339.47014Buslaev, V. S. 1 1972 On the diffraction character of scattering in a quantum system of three one-dimensional particles. Zbl 0616.47008Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 1 1987 Regularization of many-particle scattering. Zbl 0617.47006Buslaev, V. S. 1 1984 On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. Zbl 0635.47006Budylin, A. M.; Buslaev, V. S. 1 1986 The unitary regularization for a threeparticle scattering. Zbl 0375.47005Buslaev, V. S.; Vakulenko, A. F. 1 1977 Mikhail Shlemovich Birman (on the occasion of his 75th birthday). Zbl 1061.01500Buslaev, V. S.; Solomyak, M. Z.; Yafaev, D. R. 1 2004 Optical and acoustic Fourier-processors. Zbl 0843.43012Buslaev, V. S. 1 1991 On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials. Zbl 0739.35053Buslaev, V. 1 1991 Trace formula in general Hamiltonian mechanics. Zbl 0598.70018Buslaev, V. S.; Nalimova, E. A. 1 1984 Semiclassical integral equations on the semiaxis. Zbl 0869.45003Budylin, A. M.; Buslaev, V. S. 1 1996 Spectral properties of the monodromy matrix for Harper equation. Zbl 0874.39006Buslaev, V.; Fedotov, A. 1 1996 Singularities of the Green function of the nonstationary Schrödinger equation. Zbl 0920.35008Buslaeva, M. V.; Buslaev, V. S. 1 1998 Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011 1 1999 Bloch solutions for difference equations. Zbl 0859.39001Buslaev, V. S.; Fedotov, A. A. 1 1995 The Harper equation: Monodromization without quasiclassics. Zbl 0866.34071Buslaev, V. S.; Fedotov, A. A. 1 1996 Adiabatic asymptotics of the reflection coefficient. Zbl 1084.34026Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. 1 2005 Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. Zbl 1136.35466Budylin, A. M.; Buslaev, V. S. 1 2001 The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. Zbl 0998.35050Budylin, A. M.; Buslaev, V. S. 1 2001 Asymptotic comparison of differential equations. Zbl 1055.34104Buslaev, V. S. 1 2003 Trace formula in the theory of geodesics. Zbl 0181.49601Buslaev, V. S. 1 1968 Trace equation for a three-particle system. Zbl 0197.26101Buslaev, V. S.; Merkur’ev, S. P. 1 1969 Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. Zbl 1307.35179Budylin, A. M.; Buslaev, V. S. 2 2014 A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. Zbl 1272.81185Buslaev, V. S.; Levin, S. B. 4 2012 Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II: Charged one-dimensional particles. Zbl 1219.81235Buslaev, V. S.; Levin, S. B. 3 2011 New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. Zbl 1193.81111Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T. 8 2010 The scattering matrix and associated formulas in Hamiltonian mechanics. Zbl 1218.37072Buslaev, Vladimir; Pushnitski, Alexander 3 2010 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 2 2010 Homogenization in the scattering problem. Zbl 1271.35058Buslaev, V. S.; Pozharskii, A. A. 1 2010 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 27 2008 Asymptotic behavior of the eigenfunctions of the many-particle Schrödinger operator. I: One-dimensional particles. Zbl 1160.81476Buslaev, V. S.; Levin, S. B. 5 2008 Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. Zbl 1180.81132Buslaev, V. S.; Levin, S. B. 1 2008 Linear adiabatic dynamics generated by operators with continuous spectrum. I. Zbl 1152.35336Buslaev, Vladimir S.; Sulem, Catherine 1 2008 Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics. Zbl 1142.35109Budylin, A. M.; Buslaev, V. S. 1 2007 One-dimensional Schrödinger operator on the half-line: the differential equation for eigenfunctions with respect to the spectral parameter and an analog of the Freud equation. Zbl 1168.34367Buslaev, V. S.; Strazdin, V. Yu. 1 2007 Adiabatic asymptotics of the reflection coefficient. Zbl 1084.34026Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. 1 2005 Mikhail Shlemovich Birman (on the occasion of his 75th birthday). Zbl 1061.01500Buslaev, V. S.; Solomyak, M. Z.; Yafaev, D. R. 1 2004 On asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1028.35139Buslaev, Vladimir S.; Sulem, Catherine 94 2003 Asymptotic comparison of differential equations. Zbl 1055.34104Buslaev, V. S. 1 2003 A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024Buslaev, V.; Pastur, L. 5 2002 Asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1017.35104Buslaev, Vladimir S.; Sulem, Catherine 2 2002 On the difference equations with periodic coefficients. Zbl 1012.39008Buslaev, V.; Fedotov, A. 13 2001 Simulation of instability of bright solitons for NLS with saturating nonlinearity. Zbl 0972.78019Buslaev, V. S.; Grikurov, V. E. 10 2001 Turning points for adiabatically perturbed periodic equations. Zbl 0987.35013Buslaev, Vladimir; Grigis, Alain 7 2001 Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. Zbl 1136.35466Budylin, A. M.; Buslaev, V. S. 1 2001 The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. Zbl 0998.35050Budylin, A. M.; Buslaev, V. S. 1 2001 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026Buslaev, V. S.; Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R. 2 2000 The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. Zbl 0966.35121Budylin, A. M.; Buslaev, V. S. 2 2000 Kronig-Penney electron in a homogeneous electric field. Zbl 0935.34072Buslaev, V. S. 6 1999 On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. Zbl 1026.01503Buslaev, V.; Solomyak, M.; Yafaev, D. 2 1999 Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011 1 1999 Imagrinary parts of Stark-Wannier resonances. Zbl 1001.34075Buslaev, Vladimir; Grigis, Alain 8 1998 Singularities of the Green function of the nonstationary Schrödinger equation. Zbl 0920.35008Buslaeva, M. V.; Buslaev, V. S. 1 1998 Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. Zbl 0956.35114Budylin, A. M.; Buslaev, V. S. 4 1996 The Harper equation: Monodromization without quasiclassics. Zbl 0849.34066Buslaev, V. S.; Fedotov, A. A. 2 1996 Semiclassical integral equations on the semiaxis. Zbl 0869.45003Budylin, A. M.; Buslaev, V. S. 1 1996 Spectral properties of the monodromy matrix for Harper equation. Zbl 0874.39006Buslaev, V.; Fedotov, A. 1 1996 The Harper equation: Monodromization without quasiclassics. Zbl 0866.34071Buslaev, V. S.; Fedotov, A. A. 1 1996 On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108Buslaev, V. S.; Perel’man, G. S. 77 1995 Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. Zbl 0862.35148Budylin, A. M.; Buslaev, V. S. 14 1995 Bloch solutions for difference equations. Zbl 0847.39002Buslaev, V. S.; Fedotov, A. A. 4 1995 Bloch solutions for difference equations. Zbl 0859.39001Buslaev, V. S.; Fedotov, A. A. 1 1995 Monodromization and the Harper equation. Zbl 0880.34082Buslaev, V.; Fedotov, A. 7 1994 Complex WKB method for Harper’s equation. Zbl 0821.34062Buslaev, V. S.; Fedotov, A. A. 5 1994 The complex WKB method for Harper’s equation. I. Zbl 0839.34066Buslaev, V. S.; Fedotov, A. A. 5 1994 The functional structure of the monodromy matrix for Harper’s equation. Zbl 0816.34058Buslaev, Vladimir; Fedotov, Alexander 3 1994 Equivalence of unstable anharmonic oscillators and double wells. Zbl 0817.47077Buslaev, Vladimir; Grecchi, Vincenzo 43 1993 Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001Budylin, A. M.; Buslaev, V. S. 4 1993 The trace formula for the nonlinear Klein-Gordon equation. Zbl 0807.35132Buslaev, V. S.; Rybakina, E. A. 2 1993 Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112Buslaev, V. S.; Perel’man, G. S. 33 1992 On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111Buslaev, V. S.; Perelman, Galina 18 1992 Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146Buslaev, V. S.; Perel’man, G. S. 11 1992 Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197Buslaev, V. S.; Perel’man, G. S. 1 1992 Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003Budylin, A. M.; Buslaev, V. S. 7 1991 Quasiclassical integral equations. Zbl 0769.45009Budylin, A. M.; Buslaev, V. S. 2 1991 Spectral properties of adiabatically perturbed differential operators with periodic coefficients. Zbl 0726.34068Buslaev, V. S. 1 1991 Optical and acoustic Fourier-processors. Zbl 0843.43012Buslaev, V. S. 1 1991 On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials. Zbl 0739.35053Buslaev, V. 1 1991 A Bloch electron in an external field. Zbl 0726.34070Buslaev, V. S.; Dmitrieva, L. A. 6 1990 Spectral properties of the operators \(H\psi =-\psi_{xx}+p(x)\psi +v(\epsilon x)\psi\), p is periodic. Zbl 0723.47042Buslaev, V. S. 2 1990 Bloch electron in an external field. Zbl 0714.34128Buslaev, V. S.; Dmitrieva, L. A. 8 1989 Bloch electrons in an external electric field. Zbl 0725.34097Buslaev, V. S.; Dmitrieva, L. A. 3 1989 Semiclassical approximation for equations with periodic coefficients. Zbl 0698.35130Buslaev, V. S. 18 1987 Adiabatic perturbation of a periodic potential. II. Zbl 0643.34068Buslaev, V. S.; Dmitrieva, L. A. 8 1987 On the diffraction character of scattering in a quantum system of three one-dimensional particles. Zbl 0616.47008Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 1 1987 Spectral identities for a system of many quantum particles. Zbl 1268.81072Buslaev, V. S.; Chernenko, V. G. 1 1987 Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A. 11 1986 Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times. Zbl 0597.35102Buslaev, V. S.; Sukhanov, V. V. 6 1986 Asymptotic behavior of solutions for t\(\to \infty\) of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with a potential u satisfying the Korteweg-de Vries equation. Zbl 0606.35078Buslaev, V. S.; Sukhanov, V. V. 2 1986 On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. Zbl 0635.47006Budylin, A. M.; Buslaev, V. S. 1 1986 Trace formula in Hamiltonian mechanics. Zbl 0561.70016Buslaev, V. S.; Rybakina, E. A. 1 1985 On the asymptotic behavior as t\(\to \infty\) of the solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with potential u satisfying the Korteweg-de Vries equation. I. Zbl 0582.35008Buslaev, V. S.; Sukhanov, V. V. 1 1985 On adiabatic perturbation of a periodic potential. Zbl 0534.34064Buslaev, V. S. 12 1984 Adiabatic perturbation of a periodic potential. Zbl 0557.34053Buslaev, V. S. 5 1984 Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization. Zbl 0531.76089Buldyrev, V. S.; Buslaev, V. S. 2 1984 On the asymptotic behaviour of solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with the potential u satisfying the Korteweg-de Vries equations, as t\(\to \infty\). II. Zbl 0559.35074Buslaev, V. S.; Sukhanov, V. V. 2 1984 Trace formula in Lagrangian mechanics. Zbl 0598.70023Buslaev, V. S.; Nalimova, E. A. 2 1984 Regularization of many-particle scattering. Zbl 0617.47006Buslaev, V. S. 1 1984 Trace formula in general Hamiltonian mechanics. Zbl 0598.70018Buslaev, V. S.; Nalimova, E. A. 1 1984 Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects. Zbl 0515.35069Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 2 1983 On the asymptotic behaviour for \(t\to \infty\) of the solutions of the equation \(\psi_{xx} + u(x,t) \psi + (\lambda/4) \psi = 0\) with a potential \(u\) satisfying the Korteweg-deVries equation. I. Zbl 0513.35011Buslaev, V. S.; Sukhanov, V. V. 5 1982 On the asymptotic behaviour of solutions of the Korteweg-deVries equation for long times. Zbl 0514.35077Buslaev, V. S.; Sukhanov, V. V. 4 1982 The trace formula in Hamiltonian mechanics. Zbl 0537.70016Buslaev, V. S.; Rybakina, E. A. 2 1982 Asymptotic methods in problems of sound propagation in ocean wave guides and their numerical realization. Zbl 0482.76078Buldyrev, V. S.; Buslaev, V. S. 4 1981 The structure of an acoustic field near the surface of deep sea. Zbl 0482.76077Buslaev, V. S. 2 1981 Variational calculus. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie). Zbl 0489.49001Buslaev, V. S. 3 1980 Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles is free of diffractional effects. Zbl 0413.35058Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 4 1979 On the diffraction characteristics of the scattering problem for a quantum system of three one-dimensional particles. Zbl 0494.47010Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 2 1979 The unitary regularization for a threeparticle scattering. Zbl 0375.47005Buslaev, V. S.; Vakulenko, A. F. 1 1977 On the asymptotic behavior of the spectral characteristics of exterior problems for the Schrödinger operator. Zbl 0324.35006Buslaev, V. S. 3 1976 Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation. Zbl 0296.35023Buslaev, V. S.; Skriganov, M. M. 7 1975 Über das asymptotische Verhalten der spektralen Charakteristiken der Außenprobleme für den Schrödingeroperator. Zbl 0311.35010Buslaev, V. S. 4 1975 Lokales spektrales asymptotisches Verhalten der Greenschen Funktion inäußeren Aufgaben für den Schrödinger-Operator. Zbl 0306.47005Buslaev, V. S. 2 1975 Koordinatenasymptotik der Lösung des Streuungsproblems für die Schrödingergleichung. Zbl 0291.35020Buslaev, V. S.; Skriganov, M. M. 2 1974 On the continual integral for the parabolic equation of second order. Zbl 0226.35042Alimov, A. L.; Buslaev, V. S. 2 1972 Über die Spurformeln in mehrkanaligen Aufgaben. Zbl 0339.47014Buslaev, V. S. 1 1972 Scattered plane waves, spectral asymptotics and trace formulas in exterior problems. Zbl 0224.47023Buslaev, V. S. 11 1971 Potential theory and geometrical optics. Zbl 0284.35017Buslaev, V. S. 7 1971 Quantization and the WKB method. Zbl 0234.35011Buslaev, V. S. 5 1970 About generalized wave operators. Zbl 0245.47007Buslaev, V. S. 1 1970 The generating integral and the canonical Maslov operator in the WKB method. Zbl 0204.44805Buslaev, V. S. 5 1969 Trace equation for a three-particle system. Zbl 0197.26101Buslaev, V. S.; Merkur’ev, S. P. 1 1969 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 401 Authors 26 Komech, Alexander Ilich 22 Kopylova, Elena A. 21 Cuccagna, Scipio 16 Buslaev, Vladimir Savel’evich 14 Znojil, Miloslav 11 Budylin, A. M. 11 Levin, S. B. 9 Comech, Andrew 8 Babich, Vasiliĭ Mikhaĭlovich 8 Grecchi, Vincenzo 8 Its, Alexander Rudolfovich 8 Yafaev, Dimitri R. 7 Maeda, Masaya 7 Martel, Yvan 7 Sigal, Israel Michael 7 Teschl, Gerald 6 Dimassi, Mouez 6 Soffer, Avraham 6 Sukhanov, Vladimir V. 5 Bothner, Thomas 5 Deift, Percy A. 5 Fedotov, Alexander 5 Gang, Zhou 5 Mazharimousavi, S. Habib 5 Mustafa, Omar 5 Schlag, Wilhelm 5 Shafarevich, Andreĭ Igorevich 5 Spohn, Herbert 4 Dobrokhotov, Sergei Yurievich 4 Faddeev, Lyudvig Dmitrievich 4 Imaikin, Valery 4 Klopp, Frédéric 4 Kowalczyk, Michał 4 Maioli, Marco 4 Muñoz, Claudio 4 Pozharskiĭ, A. A. 4 Pushnitski, Alexander B. 3 Adami, Riccardo 3 Allilueva, Anna I. 3 Baibulov, I. V. 3 Bambusi, Dario 3 Biswas, Anjan 3 Boussaid, Nabile 3 Caliceti, Emanuela 3 Cannata, Francesco 3 Dejak, Steven I. 3 Egorova, Iryna 3 Fröhlich, Jürg Martin 3 Gesztesy, Fritz 3 Grigis, Alain 3 Grigor’eva, N. S. 3 Gustafson, Stephen J. 3 Jakubský, Vít 3 Kostenko, Aleksey S. 3 Krasovsky, Igor V. 3 Noja, Diego 3 Ortoleva, Cecilia 3 Perelman, Galina 3 Phan, Tuoc Van 3 Philippov, Vjacheslav Borisovish 3 Sacchetti, Andrea 3 Sergeev, Sergeĭ Alekseevich 3 Smyshlyaev, Valery P. 3 Takhtajan, Leon Armenovich 3 Tsai, Tai-Peng 3 Vaĭnberg, Boris Rufimovich 3 Zhou, Xin 2 Bagchi, Bijan Kumar 2 Banerjee, Abhijit 2 Beceanu, Marius 2 Benci, Vieri 2 Bentosela, François 2 Birman, Mikhail Shlëmovich 2 Borisov, N. V. 2 Briet, Philippe 2 Cacciapuoti, Claudio 2 Deng, Qingquan 2 Dmitrieva, L. A. 2 Dukhnovskiĭ, Sergeĭ Anatol’evich 2 Egli, Daniel 2 Finco, Domenico 2 Germain, Pierre 2 Geyer, Hendrik B. 2 Giachetti, Riccardo 2 Graham, Ivan G. 2 Grushin, V. V. 2 Helffer, Bernard 2 Holmer, Justin 2 Jonsson, B. Lars G. 2 Kirr, Eduard 2 Kirsten, Klaus 2 Korotyaev, Evgeny L. 2 Krieger, Joachim 2 Krueger, August J. 2 Lévai, Géza 2 Lyalinov, Mikhail Anatolievich 2 Martinez, André 2 Marzuola, Jeremy Louis 2 Mashkin, Timur 2 Maslov, Viktor Pavlovich ...and 301 more Authors all top 5 Cited in 116 Serials 36 Communications in Mathematical Physics 25 Journal of Soviet Mathematics 23 Journal of Mathematical Sciences (New York) 22 Journal of Mathematical Physics 21 St. Petersburg Mathematical Journal 12 International Journal of Theoretical Physics 11 Journal of Mathematical Analysis and Applications 10 Functional Analysis and its Applications 9 Theoretical and Mathematical Physics 9 Journal of Differential Equations 9 Journal of Functional Analysis 9 Communications in Partial Differential Equations 7 Letters in Mathematical Physics 7 Mathematical Notes 7 Russian Journal of Mathematical Physics 6 Journal d’Analyse Mathématique 6 Transactions of the American Mathematical Society 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Nonlinearity 5 Russian Mathematical Surveys 5 Reviews in Mathematical Physics 5 Advances in Mathematics 5 SIAM Journal on Mathematical Analysis 5 Discrete and Continuous Dynamical Systems 4 Modern Physics Letters A 4 Archive for Rational Mechanics and Analysis 4 Proceedings of the American Mathematical Society 4 Czechoslovak Journal of Physics 3 Communications on Pure and Applied Mathematics 3 Journal of Engineering Mathematics 3 Physics Letters. A 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Applied Mathematics and Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Physica D 3 Bulletin of the American Mathematical Society. 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Zeitschrift für angewandte Mathematik und Physik 1 Fortschritte der Physik 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Siberian Mathematical Journal 1 Advances in Applied Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Acta Mathematica Sinica. New Series 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Russian Physics Journal 1 Journal of High Energy Physics 1 Physical Review Letters 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics ...and 16 more Serials all top 5 Cited in 41 Fields 261 Partial differential equations (35-XX) 146 Quantum theory (81-XX) 69 Dynamical systems and ergodic theory (37-XX) 66 Operator theory (47-XX) 60 Ordinary differential equations (34-XX) 22 Statistical mechanics, structure of matter (82-XX) 18 Difference and functional equations (39-XX) 17 Mechanics of particles and systems (70-XX) 15 Fluid mechanics (76-XX) 14 Optics, electromagnetic theory (78-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Special functions (33-XX) 6 Probability theory and stochastic processes (60-XX) 6 Relativity and gravitational theory (83-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 5 Numerical analysis (65-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 3 Nonassociative rings and algebras (17-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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