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

Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 8-32 (Russian) (1984; Zbl 0559.35074).


35B40 Asymptotic behavior of solutions to PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
35J10 Schrödinger operator, Schrödinger equation
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