Vladimir Buslaev

Vladimir Buslaev's AcademicInfluence.com Rankings

Vladimir Buslaev

Mathematics

#8408

World Rank

#11433

Historical Rank

Mathematical Physics

#79

World Rank

#93

Historical Rank

Measure Theory

#4044

World Rank

#4767

Historical Rank

mathematics Degrees

Vladimir Buslaev

Physics

#9165

World Rank

#11537

Historical Rank

physics Degrees

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Mathematics
Physics

Why Is Vladimir Buslaev Influential?

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According to Wikipedia, Vladimir Savel'evich Buslaev was a Russian mathematical physicist. Education Buslajew received his Ph.D. in 1963 from the University of Leningrad under Olga Ladyzhenskaya with thesis Short-Wave Asymptotics of Diffraction Problems in Convex Domains. He was a professor at Saint Petersburg State University.

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Vladimir Buslaev's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Equivalence of unstable anharmonic oscillators and double wells (1993) (180)
Theory of perturbations and asymptotic methods (1972) (178)
On the stability of solitary waves for nonlinear Schr?odinger equations (1995) (145)
On asymptotic stability of solitary waves for nonlinear Schrödinger equations (2003) (116)
Semiclassical approximation for equations with periodic coefficients (1987) (66)
Wave operators for the Schroedinger equation with a slowly decreasing potential (1970) (58)
On Asymptotic Stability of Solitary Waves in Schrödinger Equation Coupled to Nonlinear Oscillator (2008) (54)
QUASICLASSICAL ASYMPTOTICS OF THE RESOLVENT OF AN INTEGRAL CONVOLUTION OPERATOR WITH A SINE KERNEL ON A FINITE INTERVAL (1996) (42)
Nonlinear scattering: The states which are close to a soliton (1995) (42)
Differential Operators and Spectral Theory: M. Sh. Birman’s 70th Anniversary Collection (1999) (41)
Adiabatic perturbation of a periodic potential (1984) (39)
ON THE ASYMPTOTIC BEHAVIOR OF THE SPECTRAL CHARACTERISTICS OF EXTERIOR PROBLEMS FOR THE SCHRÖDINGER OPERATOR (1975) (37)
On the difference equations with periodic coefficients (2002) (31)
Simulation of instability of bright solitons for NLS with saturating nonlinearity (2001) (27)
FORMULAS FOR TRACES FOR A SINGULAR STURM-LIOUVILLE DIFFERENTIAL OPERATOR (2016) (24)
Scattering theory for the Korteweg-De Vries (KdV) equation and its Hamiltonian interpretation (1986) (21)
The generating integral and the canonical maslov operator in the WKB method (1969) (19)
Continuum Integrals and the Asymptotic Behavior of the Solutions of Parabolic Equations as t→0. Applications to Diffraction (1968) (17)
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 (2009) (17)
Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation (1974) (15)
The monodromization and Harper equation (1994) (15)
Imaginary parts of Stark–Wannier resonances (1998) (15)
Reflection operators and their applications to asymptotic investigations of semiclassical integral equations (1991) (14)
Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times (1986) (14)
Adiabatic perturbation of periodic potential. II (1987) (14)
Turning points for adiabatically perturbed periodic equations (2001) (13)
Potential theory and geometrical optics (1974) (13)
On the connection between the third virial coefficient and the S matrix (1970) (13)
Asymptotic behavior of solutions of the Korteweg-de Vries equation (1986) (10)
Spectral Identities and the Trace Formula in the Friedrichs Model (1971) (10)
The Scattering Matrix and Associated Formulas in Hamiltonian Mechanics (2008) (10)
A system of three three-dimensional charged quantum particles: Asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity (2011) (10)
Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles (2011) (9)
Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects (1983) (8)
The functional structure of the monodromy matrix for Harper’s equation (1994) (8)
Trace formula in general Hamiltonian mechanics (1984) (6)
On spectral properties of adiabatically perturbed Schroedinger operators with periodic potentials (1990) (6)
Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator: Three particles on the axis with short-range pair potentials (2013) (5)
Spectral properties of the monodromy matrix for Harper equation (1996) (5)
Linear adiabatic dynamics generated by operators with continuous spectrum. I (2008) (5)
Adiabatic asymptotics of the reflection coefficient (2005) (5)
On the Short-Wave Asymptotic Limit in the Problem of Diffraction by Convex Bodies (1963) (5)
Solutions of “double soliton” type for the multidimensional equation □u=F(u) (1977) (4)
The Trace Formulas and Some Asymptotic Estimates of the Resolvent Kernel of the Three-Dimensional Schroedinger Equation (1967) (4)
On Asymptotic Stability of Solitary Waves in a Nonlinear Schr (2007) (4)
Principal singularities of the S matrix for a system of one-dimensional particles (1987) (4)
Homogenization in the scattering problem (2010) (3)
Remarks on the quantum adiabatic theorem (2005) (3)
Trace formula in Lagrangian mechanics (1984) (3)
Asymptotic behavior for t→∞ of the solutions of the equation ψxx+u(x,t)ψ+(λ/4)ψ=0 with a potential u, satisfying the Korteweg-de Vries equation. II (1986) (2)
Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements (2014) (2)
Mikhail Shlëmovich Birman (on his sixtieth birthday) (1988) (2)
Singularities of the green function of the nonstationary Schrödinger equation (1998) (2)
Spectral Properties of Adiabatically Perturbed Differential Operators with the Periodic Coefficients (1991) (2)
Trace formula in Hamiltonian mechanics (1985) (2)
Trace formula and singularities of the S matrix for a system of three one-dimensional particles. Third group integral (1973) (2)
Mikhail Shlemovich Birman (on the occasion of his 75th birthday) (2005) (1)
Mikhail Shlyomovich Birman (on his 70th birthday) (2000) (1)
Trace formula for the nonlinear Klein-Gordon equation (1987) (1)
Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics (2007) (1)
On a characteristic property of Weyl quantization (1970) (1)
FLA ON ASYMPTOTIC STABILITY OF SOLITARY WAVES FOR NONLINEAR SCHRÖDINGER EQUATIONS STABILITÉ ASYMPTOTIQUE DES ONDES SOLITAIRES POUR LES ÉQUATIONS DE SCHRÖDINGER NONLINÉAIRES (2003) (1)
DISPERSION RELATIONS IN NONRELATIVISTIC SCATTERING THEORY IN WHICH ACCOUNT IS MADE FOR SPIN-ORBIT INTERACTION (1960) (1)
Semiclassical Pseudodifferential Operators with Double Discontinuous Symbols and their Application to Problems of Quantum Statistical Physics (2001) (1)
Mikhail Shlemovich Birman (obituary) (2010) (1)
Structure of the acoustic field near the surface of a deep sea. I (1984) (1)
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 (2007) (1)
Trace formulas for multichannel problems (1975) (1)
Spectral Properties of the Operators Hψ = −ψxx + p(x)ψ + v(εx)ψ, p is Periodic (1990) (1)
Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements (2014) (0)
FORMULAS OF THE SHORTWAVE ASYMPTOTIC IN A PROBLEM OF DIFFRACTION BY CONVEX BODIES (Formulakh Korotkovolnovoi Asimptot Iki v Zadache Difraktsii na Vypuklykh Telakh) (1963) (0)
INVERSE SCATTERING PROBLEM FOR ONE-DIMENSIONAL SCHROEDINGER EQUATION ALONG THE AXIS (1962) (0)
Mini-Workshop: Attraction to Solitary Waves and Related Aspects of Physics (2008) (0)
A system of three three-dimensional charged quantum particles: Asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity (2012) (0)
Women's day (2016) (0)
Global attraction to solitary waves in nonlinear dispersive Hamiltonian systems (2008) (0)
Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator: Three particles on the axis with short-range pair potentials (2013) (0)
Long-time asymptotic behavior of the solutions of the Korteweg-De Vries equations (1987) (0)
Uniform asymptotics of eigenfunctions for the three‐body Schrödinger operator in one‐dimensional case (2008) (0)
Averaging in scattering problems (2009) (0)
Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization (1984) (0)

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What Schools Are Affiliated With Vladimir Buslaev?

Vladimir Buslaev is affiliated with the following schools:

Saint Petersburg State University

Vladimir Buslaev's Academic­Influence.com Rankings

Why Is Vladimir Buslaev Influential?

Vladimir Buslaev's Published Works

Published Works

Other Resources About Vladimir Buslaev

What Schools Are Affiliated With Vladimir Buslaev?

Vladimir Buslaev's AcademicInfluence.com Rankings