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

Buslaev, V. S.; Sukhanov, V. V.

Sel. Math. Sov. 4, 225-248 (1985).

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

Keywords:

formal solutions; Korteweg-de Vries equations

Citations:

Zbl 0582.35009; Zbl 0513.35011