An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons

Details An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons

2008-12-08

arxiv.org/abs/0812.1335v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Typos corrected, some content added

Scientific paper

We analyze initial-boundary value problems for an integrable generalization of the nonlinear Schr\"odinger 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.

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