Infinite hierarchy of nonlinear Schrödinger equations and their solutions

Simple item page
dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorKedziora, David
dc.contributor.authorChowdury, Atiqur
dc.contributor.authorBandelow, U.
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2018-11-29T22:55:22Z
dc.date.available2018-11-29T22:55:22Z
dc.date.issued2016
dc.date.updated2018-11-29T08:06:18Z
dc.description.abstractWe study the infinite integrable nonlinear Schrödinger equation hierarchy beyond the Lakshmanan-Porsezian-Daniel equation which is a particular (fourth-order) case of the hierarchy. In particular, we present the generalized Lax pair and generalized soliton solutions, plane wave solutions, Akhmediev breathers, Kuznetsov-Ma breathers, periodic solutions, and rogue wave solutions for this infinite-order hierarchy. We find that “even- order” equations in the set affect phase and “stretching factors” in the solutions, while “odd-order” equations affect the velocities. Hence odd-order equation solutions can be real functions, while even-order equation solutions are always complex.
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/1885/153145
dc.publisherAmerican Physical Society
dc.sourcePhysical Review E-Statistical, Nonlinear and Soft Matter Physics
dc.titleInfinite hierarchy of nonlinear Schrödinger equations and their solutions
dc.typeJournal article
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issue1
local.bibliographicCitation.lastpage12206
local.bibliographicCitation.startpage12206
local.contributor.affiliationAnkiewicz, Adrian, College of Science, ANU
local.contributor.affiliationKedziora, David, College of Science, ANU
local.contributor.affiliationChowdury, Atiqur, College of Science, ANU
local.contributor.affiliationBandelow, U., Weierstrass Institute for Applied Analysis and Stochastics
local.contributor.affiliationAkhmediev, Nail, College of Science, ANU
local.contributor.authoruidAnkiewicz, Adrian, u8204998
local.contributor.authoruidKedziora, David, u4814101
local.contributor.authoruidChowdury, Atiqur, u3671815
local.contributor.authoruidAkhmediev, Nail, u9111648
local.description.notesImported from ARIES
local.identifier.absfor020202 - Nuclear Physics
local.identifier.absfor020500 - OPTICAL PHYSICS
local.identifier.ariespublicationU3488905xPUB8380
local.identifier.citationvolume93
local.identifier.doi10.1103/PhysRevE.93.012206
local.identifier.scopusID2-s2.0-84954543182
local.identifier.thomsonID000367901000015
local.type.statusPublished Version

Downloads

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
01_Ankiewicz_Infinite_hierarchy_of_2016.pdf
Size:
1.67 MB
Format:
Adobe Portable Document Format
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS