The defocusing nonlinear Schrödinger equation with t-periodic data: New exact solutions
2015 (English)In: Nonlinear Analysis, ISSN 1468-1218, Vol. 25, 31-50 p.Article in journal (Refereed) Published
We consider solutions of the defocusing nonlinear Schrödinger (NLS) equation on the half-line whose Dirichlet and Neumann boundary values become periodic for sufficiently large t. We prove a theorem which, modulo certain assumptions, characterizes the pairs of periodic functions which can arise as Dirichlet and Neumann values for large t in this way. The theorem also provides a constructive way of determining explicit solutions with the given periodic boundary values. Hence our approach leads to a class of new exact solutions of the defocusing NLS equation on the half-line.
Place, publisher, year, edition, pages
2015. Vol. 25, 31-50 p.
Asymptotic behavior, Initial-boundary value problem, Time-periodic data, Boundary value problems, Initial value problems, Asymptotic behaviors, Explicit solutions, Initial-boundary value problems, Neumann boundary, New exact solutions, Periodic boundaries, Periodic function, Nonlinear equations
IdentifiersURN: urn:nbn:se:kth:diva-163791DOI: 10.1016/j.nonrwa.2015.02.003ScopusID: 2-s2.0-84925762422OAI: oai:DiVA.org:kth-163791DiVA: diva2:802402
QC 201504272015-04-132015-04-122015-04-27Bibliographically approved