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http://dx.doi.org/10.25673/54776
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DC Field | Value | Language |
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dc.contributor.author | Dohnal, Tomáš | - |
dc.contributor.author | Wahlers, Lisa | - |
dc.date.accessioned | 2022-01-13T10:26:14Z | - |
dc.date.available | 2022-01-13T10:26:14Z | - |
dc.date.issued | 2021 | - |
dc.identifier.uri | https://opendata.uni-halle.de//handle/1981185920/56728 | - |
dc.identifier.uri | http://dx.doi.org/10.25673/54776 | - |
dc.description.abstract | We consider a system of first order coupled mode equations in Rd describing the envelopes of wavepackets in nonlinear periodic media. Under the assumptions of a spectral gap and a generic assumption on the dispersion relation at the spectral edge, we prove the bifurcation of standing gap solitons of the coupled mode equations from the zero solution. The proof is based on a Lyapunov–Schmidt decomposition in Fourier variables and a nested Banach fixed point argument. The reduced bifurcation equation is a perturbed stationary nonlinear Schrödinger equation. The existence of solitary waves follows in a symmetric subspace thanks to a spectral stability result. A numerical example of gap solitons in R2 is provided. | eng |
dc.description.sponsorship | Publikationsfonds MLU | - |
dc.language.iso | eng | - |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject.ddc | 518 | - |
dc.title | Bifurcation of gap solitons in coupled mode equations in d dimensions | eng |
dc.type | Article | - |
local.versionType | publishedVersion | - |
local.bibliographicCitation.journaltitle | Journal of dynamics and differential equations | - |
local.bibliographicCitation.publishername | Springer Science + Business Media B.V. | - |
local.bibliographicCitation.publisherplace | New York, NY [u.a.] | - |
local.bibliographicCitation.doi | 10.1007/s10884-021-09971-7 | - |
local.subject.keywords | Coupled mode equations, Gap soliton, Bifurcation, Fixed point | - |
local.openaccess | true | - |
dc.identifier.ppn | 1760480525 | - |
local.bibliographicCitation.year | 2021 | - |
cbs.sru.importDate | 2022-01-13T10:23:59Z | - |
local.bibliographicCitation | Enthalten in Journal of dynamics and differential equations - New York, NY [u.a.] : Springer Science + Business Media B.V., 1989 | - |
local.accessrights.dnb | free | - |
Appears in Collections: | Open Access Publikationen der MLU |
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File | Description | Size | Format | |
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Dohnal-Wahlers2021_Article_BifurcationOfGapSolitonsInCoup.pdf | 952.26 kB | Adobe PDF | ![]() View/Open |