Budylin, A. M.; Buslaev, V. S. Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. (English. Russian original) Zbl 1307.35179 Funct. Anal. Appl. 48, No. 1, 1-14 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 1-18 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35Q55 35B40 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Funct. Anal. Appl. 48, No. 1, 1--14 (2014; Zbl 1307.35179); translation from Funkts. Anal. Prilozh. 48, No. 1, 1--18 (2014) Full Text: DOI OpenURL
Buslaev, V. S.; Levin, S. B. A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. (English. Russian original) Zbl 1272.81185 Funct. Anal. Appl. 46, No. 2, 147-151 (2012); translation from Funkts. Anal. Prilozh. 46, No. 2, 83-88 (2012). MSC: 81U10 81Q10 35P20 35P25 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, Funct. Anal. Appl. 46, No. 2, 147--151 (2012; Zbl 1272.81185); translation from Funkts. Anal. Prilozh. 46, No. 2, 83--88 (2012) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Levin, S. B. Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II: Charged one-dimensional particles. (English. Russian original) Zbl 1219.81235 St. Petersbg. Math. J. 22, No. 3, 379-392 (2011); translation from Algebra Anal. 2010, No. 3, 60-79 (2010). MSC: 81U10 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, St. Petersbg. Math. J. 22, No. 3, 379--392 (2011; Zbl 1219.81235); translation from Algebra Anal. 2010, No. 3, 60--79 (2010) Full Text: DOI OpenURL
Buslaev, Vladimir; Pushnitski, Alexander The scattering matrix and associated formulas in Hamiltonian mechanics. (English) Zbl 1218.37072 Commun. Math. Phys. 293, No. 2, 563-588 (2010). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 37J05 37J10 34L25 35P25 81U20 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Pushnitski}, Commun. Math. Phys. 293, No. 2, 563--588 (2010; Zbl 1218.37072) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. (English) Zbl 1185.35247 Commun. Partial Differ. Equations 33, No. 4, 669-705 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35Q51 35B35 35B40 37K40 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Commun. Partial Differ. Equations 33, No. 4, 669--705 (2008; Zbl 1185.35247) Full Text: DOI arXiv Link OpenURL
Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. Adiabatic asymptotics of the reflection coefficient. (English. Russian original) Zbl 1084.34026 St. Petersbg. Math. J. 16, No. 3, 437-452 (2005); translation from Algebra Anal. 16, No. 3, 1-23 (2004). Reviewer: Manfred Möller (Johannesburg) MSC: 34B24 34E05 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., St. Petersbg. Math. J. 16, No. 3, 437--452 (2005; Zbl 1084.34026); translation from Algebra Anal. 16, No. 3, 1--23 (2004) Full Text: DOI OpenURL
Buslaev, V. S.; Solomyak, M. Z.; Yafaev, D. R. Mikhail Shlemovich Birman (on the occasion of his 75th birthday). (English. Russian original) Zbl 1061.01500 St. Petersbg. Math. J. 16, No. 1, 1-8 (2004); translation from Algebra Anal. 16, No. 1, 5-14 (2004). MSC: 01A70 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., St. Petersbg. Math. J. 16, No. 1, 1--8 (2004; Zbl 1061.01500); translation from Algebra Anal. 16, No. 1, 5--14 (2004) Full Text: DOI OpenURL
Buslaev, Vladimir S.; Sulem, Catherine On asymptotic stability of solitary waves for nonlinear Schrödinger equations. (English) Zbl 1028.35139 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 419-475 (2003). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 37K40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{C. Sulem}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 419--475 (2003; Zbl 1028.35139) Full Text: DOI Numdam EuDML OpenURL
Buslaev, Vladimir; Grigis, Alain Turning points for adiabatically perturbed periodic equations. (English) Zbl 0987.35013 J. Anal. Math. 84, 67-143 (2001). Reviewer: Ion Onciulescu (Iaşi) MSC: 35B10 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Grigis}, J. Anal. Math. 84, 67--143 (2001; Zbl 0987.35013) Full Text: DOI OpenURL
Buslaev, V. S.; Grikurov, V. E. Simulation of instability of bright solitons for NLS with saturating nonlinearity. (English) Zbl 0972.78019 Math. Comput. Simul. 56, No. 6, 539-546 (2001). MSC: 78A60 35Q60 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. E. Grikurov}, Math. Comput. Simul. 56, No. 6, 539--546 (2001; Zbl 0972.78019) Full Text: DOI OpenURL
Buslaev, Vladimir; Grigis, Alain Imagrinary parts of Stark-Wannier resonances. (English) Zbl 1001.34075 J. Math. Phys. 39, No. 5, 2520-2550 (1998). MSC: 34L40 81Q20 34L05 81U05 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Grigis}, J. Math. Phys. 39, No. 5, 2520--2550 (1998; Zbl 1001.34075) Full Text: DOI OpenURL
Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A. Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. (English) Zbl 0618.35100 Physica D 18, 255-266 (1986). Reviewer: J.Kostarcuk MSC: 35Q99 35A30 35P25 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Physica D 18, 255--266 (1986; Zbl 0618.35100) Full Text: DOI OpenURL
Buslaev, V. S.; Sukhanov, V. V. Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times. (English) Zbl 0597.35102 J. Sov. Math. 34, 1905-1923 (1986). MSC: 35Q99 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, J. Sov. Math. 34, 1905--1923 (1986; Zbl 0597.35102) Full Text: DOI OpenURL
Buslaev, V. S.; Sukhanov, V. V. Asymptotic behavior 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-de Vries equation. II. (English) Zbl 0582.35009 J. Sov. Math. 32, 426-446 (1986). MSC: 35B40 35Q99 35J10 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, J. Sov. Math. 32, 426--446 (1986; Zbl 0582.35009) Full Text: DOI OpenURL
Buslaev, V. S.; Rybakina, E. A. Trace formula in Hamiltonian mechanics. (English) Zbl 0561.70016 J. Sov. Math. 28, 645-659 (1985). MSC: 70H05 81Q05 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Rybakina}, J. Sov. Math. 28, 645--659 (1985; Zbl 0561.70016) Full Text: DOI OpenURL
Buslaev, V. S.; Nalimova, E. A. Trace formula in general Hamiltonian mechanics. (English. Russian original) Zbl 0598.70018 Theor. Math. Phys. 60, 863-871 (1984); translation from Teor. Mat. Fiz. 60, No. 3, 344-355 (1984). Reviewer: N.Arley MSC: 70H05 37J99 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Nalimova}, Theor. Math. Phys. 60, 863--871 (1984; Zbl 0598.70018); translation from Teor. Mat. Fiz. 60, No. 3, 344--355 (1984) Full Text: DOI OpenURL