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


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Authors

Fokas, AS 
Kamvissis, S 

Abstract

jats:pWe 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.</jats:p>

Description

Keywords

4904 Pure Mathematics, 49 Mathematical Sciences

Journal Title

Abstract and Applied Analysis

Conference Name

Journal ISSN

1085-3375
1687-0409

Volume Title

Publisher

Wiley