Zero-dispersion limit for integrable equations on the half-line with linearisable data

A. S. Fokas and S. Kamvissis

Abstract and Applied Analysis, 2004, vol. 2004, 1-10

Abstract:

We study the zero-dispersion limit for certain initial boundary value problems for the defocusing nonlinear Schrödinger (NLS) equationand for the Korteweg-de Vries (KdV)equation with dominant surface tension. These problems are formulated on the half-line and they involve linearisable boundaryconditions.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:723906

DOI: 10.1155/S1085337504306093

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