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Long-time asymptotics for the derivative nonlinear Schrodinger equation on the half-line
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2017 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 30, no 11, 4141-4172 p.Article in journal (Refereed) Published
Abstract [en]

We derive asymptotic formulas for the solution of the derivative nonlinear Schrodinger equation on the half-line under the assumption that the initial and boundary values lie in the Schwartz class. The formulas clearly show the effect of the boundary on the solution. The approach is based on a nonlinear steepest descent analysis of an associated Riemann-Hilbert problem.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2017. Vol. 30, no 11, 4141-4172 p.
Keyword [en]
nonlinear steepest descent, initial-boundary value problem, Riemann-Hilbert problem, asymptotics
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-217177DOI: 10.1088/1361-6544/aa84c6ISI: 000413350200006Scopus ID: 2-s2.0-85032272146OAI: oai:DiVA.org:kth-217177DiVA: diva2:1155117
Funder
EU, European Research Council, 682537Swedish Research Council, 2015-05430
Note

QC 20171107

Available from: 2017-11-07 Created: 2017-11-07 Last updated: 2017-11-07Bibliographically approved

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