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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

Translation from Probl. Mat. Fiz. 10, 70-102 (Russian) (1982; Zbl 0513.35011).

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
34L99 Ordinary differential operators
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