Sukhanov, V. V. Asymptotic behavior of solutions of the nonstationary Dirac euqation with potential that slowly depends on time. (English. Russian original) Zbl 1458.35362 J. Math. Sci., New York 252, No. 5, 695-701 (2021); translation from Zap. Nauchn. Semin. POMI 483, 189-198 (2019). MSC: 35Q41 81Q05 81Q10 35B40 PDFBibTeX XMLCite \textit{V. V. Sukhanov}, J. Math. Sci., New York 252, No. 5, 695--701 (2021; Zbl 1458.35362); translation from Zap. Nauchn. Semin. POMI 483, 189--198 (2019) Full Text: DOI
Its, A.; Sukhanov, V. Large time asymptotics for the cylindrical Korteweg-de Vries equation. I. (English) Zbl 1451.35163 Nonlinearity 33, No. 10, 5215-5245 (2020). MSC: 35Q53 35B40 37K15 35K35 35P25 35Q15 PDFBibTeX XMLCite \textit{A. Its} and \textit{V. Sukhanov}, Nonlinearity 33, No. 10, 5215--5245 (2020; Zbl 1451.35163) Full Text: DOI
Sukhanov, Vladimir V. Asymptotic behavior of solutions of a system of KdV type associated with the Schrödinger operator with an energy-dependent potential. (English) Zbl 1447.37062 Russ. J. Nonlinear Dyn. 16, No. 1, 173-179 (2020). MSC: 37K40 37K15 35Q53 PDFBibTeX XMLCite \textit{V. V. Sukhanov}, Russ. J. Nonlinear Dyn. 16, No. 1, 173--179 (2020; Zbl 1447.37062) Full Text: DOI MNR
Babich, V. M.; Budylin, A. M.; Dmitrieva, L. A.; Fedotov, A. A.; Komech, A. I.; Levin, S. B.; Perel, M. V.; Rybakina, E. A.; Sukhanov, V. V. On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original) Zbl 1304.35001 St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013). MSC: 35-00 01A70 PDFBibTeX XMLCite \textit{V. M. Babich} et al., St. Petersbg. Math. J. 25, No. 2, 151--174 (2014; Zbl 1304.35001); translation from Algebra Anal. 25, No. 2, 3--36 (2013) Full Text: DOI
Laptev, A.; Shterenberg, R.; Sukhanov, V. Inverse spectral problems for Schrödinger operators with energy depending potentials. (English) Zbl 1146.35095 Dawson, Donald A. (ed.) et al., Probability and mathematical physics. A volume in honor of Stanislav Molchanov. Proceedings of a conference in honor of Stanislav Molchanov’s 65th birthday, Montreal, Canada, June 27–July 1, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4089-4/pbk). CRM Proceedings and Lecture Notes 42, 341-351 (2007). Reviewer: Teresa Regińska (Warszawa) MSC: 35R30 35P25 35J10 35Q15 35Q55 PDFBibTeX XMLCite \textit{A. Laptev} et al., in: Probability and mathematical physics. A volume in honor of Stanislav Molchanov. Proceedings of a conference in honor of Stanislav Molchanov's 65th birthday, Montreal, Canada, June 27--July 1, 2005. Providence, RI: American Mathematical Society (AMS). 341--351 (2007; Zbl 1146.35095)
Laptev, A.; Shterenberg, R.; Sukhanov, V.; Östensson, J. Reflectionless potentials for an ordinary differential operator of order four. (English) Zbl 1103.34071 Inverse Probl. 22, No. 1, 135-153 (2006). Reviewer: Manfred Möller (Johannesburg) MSC: 34L05 35Q51 PDFBibTeX XMLCite \textit{A. Laptev} et al., Inverse Probl. 22, No. 1, 135--153 (2006; Zbl 1103.34071) Full Text: DOI
Sukhanov, V. V. Large time asymptotic behavior of solutions of the Cauchy problem for a system of the KdV type with rapidly decaying nonsoliton initial data. (English) Zbl 0807.35130 Birman, M. Sh. (ed.), Wave propagation. Scattering theory. Transl. from the Russian by Peter Zhevandrov. Transl. ed. by Simeon Ivanov. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 157, 239-256 (1993). MSC: 35Q53 35B40 35R30 PDFBibTeX XMLCite \textit{V. V. Sukhanov}, Transl., Ser. 2, Am. Math. Soc. 157, 239--256 (1993; Zbl 0807.35130)
Sukhanov, V. V. On the asymptotic behaviour as \(t\to\infty\) of the solutions of the equation \(u_ t=u_{xxx}+F[u]\). (English) Zbl 0809.35118 Asymptotic Anal. 7, No. 3, 195-205 (1993). Reviewer: Chen Shuxing (Shanghai) MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{V. V. Sukhanov}, Asymptotic Anal. 7, No. 3, 195--205 (1993; Zbl 0809.35118)
Sukhanov, V. V. Asymptotic behavior of solutions of the nonlinear string equation for large times. (English. Russian original) Zbl 0692.35099 J. Sov. Math. 46, No. 5, 2126-2136 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 161, 122-138 (1987). MSC: 35Q99 37J35 37K10 35B40 PDFBibTeX XMLCite \textit{V. V. Sukhanov}, J. Sov. Math. 46, No. 5, 2126--2136 (1989; Zbl 0692.35099); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 161, 122--138 (1987) Full Text: DOI
Buslaev, V. S.; Sukhanov, V. V. 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. (Russian) Zbl 0606.35078 Probl. Mat. Fiz. 11, 78-113 (1986). Reviewer: O.Dumbrajs MSC: 35Q99 35R30 35P25 35B40 35G25 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Probl. Mat. Fiz. 11, 78--113 (1986; Zbl 0606.35078)
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 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, J. Sov. Math. 34, 1905--1923 (1986; Zbl 0597.35102) Full Text: DOI
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 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, J. Sov. Math. 32, 426--446 (1986; Zbl 0582.35009) Full Text: DOI
Buslaev, V. S.; Sukhanov, V. V. 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. (English) Zbl 0582.35008 Sel. Math. Sov. 4, 225-248 (1985). MSC: 35B40 35Q99 34L99 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Sel. Math. Sov. 4, 225--248 (1985; Zbl 0582.35008)
Buslaev, V. S.; Sukhanov, V. V. 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. (Russian. English summary) Zbl 0559.35074 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 8-32 (1984). MSC: 35Q99 35J10 35B40 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 8--32 (1984; Zbl 0559.35074) Full Text: EuDML
Sukhanov, V. V. Asymptotic behavior of solutions of the Cauchy problem for a system of the KdV type for large times. (English. Russian original) Zbl 0542.35065 Sov. Phys., Dokl. 28, 325-327 (1983); translation from Dokl. Akad. Nauk SSSR 269, 1091-1094 (1983). Reviewer: I.Vrabie MSC: 35Q99 35B40 35R30 PDFBibTeX XMLCite \textit{V. V. Sukhanov}, Sov. Phys., Dokl. 28, 325--327 (1983; Zbl 0542.35065); translation from Dokl. Akad. Nauk SSSR 269, 1091--1094 (1983)
Buslaev, V. S.; Sukhanov, V. V. On the asymptotic behaviour of solutions of the Korteweg-deVries equation for long times. (Russian) Zbl 0514.35077 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 120, 32-50 (1982). MSC: 35Q99 35B40 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 120, 32--50 (1982; Zbl 0514.35077) Full Text: EuDML
Buslaev, V. S.; Sukhanov, V. V. 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. (Russian) Zbl 0513.35011 Probl. Mat. Fiz. 10, 70-102 (1982). MSC: 35B40 35Q99 34L99 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Probl. Mat. Fiz. 10, 70--102 (1982; Zbl 0513.35011)