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arXiv 0812.1335nlin.SInlin.PS
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An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons

J. Lenells, A. S. Fokas

英文摘要:

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.

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