Zero-dispersion limit for integrable equations on the half-line with linearisable data
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 boundarycondit...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504306093 |
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| author | A. S. Fokas S. Kamvissis |
| author_facet | A. S. Fokas S. Kamvissis |
| author_sort | A. S. Fokas |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-16cd5e854e3e4b169f1f232662235c74 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-16cd5e854e3e4b169f1f232662235c742025-02-03T01:33:19ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-012004536137010.1155/S1085337504306093Zero-dispersion limit for integrable equations on the half-line with linearisable dataA. S. Fokas0S. Kamvissis1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UKMax-Planck-Institut für Mathematik, Vivatsgasse 7, Bonn 53111, GermanyWe 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.http://dx.doi.org/10.1155/S1085337504306093 |
| spellingShingle | A. S. Fokas S. Kamvissis Zero-dispersion limit for integrable equations on the half-line with linearisable data Abstract and Applied Analysis |
| title | Zero-dispersion limit for integrable equations on the half-line
with linearisable data |
| title_full | Zero-dispersion limit for integrable equations on the half-line
with linearisable data |
| title_fullStr | Zero-dispersion limit for integrable equations on the half-line
with linearisable data |
| title_full_unstemmed | Zero-dispersion limit for integrable equations on the half-line
with linearisable data |
| title_short | Zero-dispersion limit for integrable equations on the half-line
with linearisable data |
| title_sort | zero dispersion limit for integrable equations on the half line with linearisable data |
| url | http://dx.doi.org/10.1155/S1085337504306093 |
| work_keys_str_mv | AT asfokas zerodispersionlimitforintegrableequationsonthehalflinewithlinearisabledata AT skamvissis zerodispersionlimitforintegrableequationsonthehalflinewithlinearisabledata |