Initial boundary value problem for the nonlinear Schrödinger equation. (English) Zbl 0753.35090
Summary: The integrable initial boundary value problem on a semi-line for the nonlinear Schrödinger equation is considered. It is shown that by means of the Bäcklund transformation this problem can be reduced to the well known Cauchy problem for the same equation on the line.
MSC:
35Q55 | NLS equations (nonlinear Schrödinger equations) |
35K20 | Initial-boundary value problems for second-order parabolic equations |