Rogue waves and solitons on a cnoidal background

Kedziora, DJ; Ankiewicz, A; Akhmediev, N

Rogue waves and solitons on a cnoidal background

Kedziora, DJ Ankiewicz, A Akhmediev, N

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Publisher:: SPRINGER HEIDELBERG
Publication Type:: Journal Article
Citation:: European Physical Journal: Special Topics, 2014, 223, (1), pp. 43-62
Issue Date:: 2014-01-01

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Field	Value	Language
dc.contributor.author	Kedziora, DJ
dc.contributor.author	Ankiewicz, A
dc.contributor.author	Akhmediev, N
dc.date.accessioned	2023-03-28T21:57:18Z
dc.date.available	2023-03-28T21:57:18Z
dc.date.issued	2014-01-01
dc.identifier.citation	European Physical Journal: Special Topics, 2014, 223, (1), pp. 43-62
dc.identifier.issn	1951-6355
dc.identifier.issn	1951-6401
dc.identifier.uri	http://hdl.handle.net/10453/168766
dc.description.abstract	Solutions of the nonlinear Schrödinger equation, appearing as rogue waves on a spatially-periodic background envelope, are obtained using the Darboux transformation scheme. Several particular examples are illustrated numerically. These include soliton and breather solutions on a periodic background as well as higher-order structures. The results enrich our knowledge of possible analytic solutions that describe the appearance of rogue waves in a variety of situations. This work is prepared on the occasion of Prof. Helmut Brand's 60th birthday. He has made significant contributions to the science of solitons and his ideas have inspired our research into localised formations in various physical contexts. © 2014 EDP Sciences and Springer.
dc.language	English
dc.publisher	SPRINGER HEIDELBERG
dc.relation.ispartof	European Physical Journal: Special Topics
dc.relation.isbasedon	10.1140/epjst/e2014-02083-4
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences
dc.subject.classification	Applied Physics
dc.subject.classification	Fluids & Plasmas
dc.title	Rogue waves and solitons on a cnoidal background
dc.type	Journal Article
utslib.citation.volume	223
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - AAI - Advanced Analytics Institute Research Centre
utslib.copyright.status	closed_access	*
dc.date.updated	2023-03-28T21:57:17Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	223
utslib.citation.issue	1

Abstract:

Solutions of the nonlinear Schrödinger equation, appearing as rogue waves on a spatially-periodic background envelope, are obtained using the Darboux transformation scheme. Several particular examples are illustrated numerically. These include soliton and breather solutions on a periodic background as well as higher-order structures. The results enrich our knowledge of possible analytic solutions that describe the appearance of rogue waves in a variety of situations. This work is prepared on the occasion of Prof. Helmut Brand's 60th birthday. He has made significant contributions to the science of solitons and his ideas have inspired our research into localised formations in various physical contexts. © 2014 EDP Sciences and Springer.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/168766