## 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

### Keywords:

formal solutions; Korteweg-deVries equations