J Lenells and A S Fokas 2009 Inverse Problems 25 115006 doi:10.1088/0266-5611/25/11/115006
J Lenells and A S Fokas
Show affiliationsWe analyze initial-boundary value problems for an integrable generalization of the nonlinear Schrödinger equation formulated on the half-line. In particular, we investigate the so-called linearizable boundary conditions, which in this case are of Robin type. Furthermore, we use a particular solution to verify explicitly all the steps needed for the solution of a well-posed problem.
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
37K15 Integration of completely integrable systems by inverse spectral and scattering methods
Issue 11 (November 2009)
Received 26 February 2009, in final form 18 August 2009
Published 29 October 2009
J Lenells and A S Fokas 2009 Inverse Problems 25 115006
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