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