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 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Probl. Mat. Fiz. 11, 78--113 (1986; Zbl 0606.35078) 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.; 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 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Sel. Math. Sov. 4, 225--248 (1985; Zbl 0582.35008) OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Probl. Mat. Fiz. 10, 70--102 (1982; Zbl 0513.35011) OpenURL