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

2008; Cornell University; Linguagem: Inglês

10.48550/arxiv.0812.1335

Jonatan Lenells, A. S. Fokas,

Advanced Mathematical Physics Problems

We 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.