This article is cited in 23 papers

Boundary-value problem for nonlinear Schrödinger equation

P. N. Bibikov, V. O. Tarasov


Abstract: The boundary value problem on the half-line for the nonlinear Schrödinger equation (NLS) and its generalization is studied by means of the inverse scattering transform method. Connection between conservation laws and boundary conditions for the integrable boundary values for higher NLS equations is established. It is shown that the generalized boundary value problem needs the consideration of both regular and singular solution of NLS equations in the repulsive case.

Received: 11.01.1988

 English version: Theoretical and Mathematical Physics, 1989, 79:3, 570–579

Bibliographic databases:

• 
• 
•