Abstract and Applied Analysis
Volume 2004 (2004), Issue 5, Pages 361-370
doi:10.1155/S1085337504306093
Zero-dispersion limit for integrable equations on the half-line with linearisable data
A.S. Fokas1
and S. Kamvissis2
1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UK
2Max-Planck-Institut für Mathematik, Vivatsgasse 7, Bonn 53111, Germany
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.