Breather solutions of the integrable quintic nonlinear Schrödinger equation and their interactions.

Chowdury, A; Kedziora, DJ; Ankiewicz, A; Akhmediev, N

Breather solutions of the integrable quintic nonlinear Schrödinger equation and their interactions.

Chowdury, A Kedziora, DJ Ankiewicz, A Akhmediev, N

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Publisher:: AMER PHYSICAL SOC
Publication Type:: Journal Article
Citation:: Phys Rev E Stat Nonlin Soft Matter Phys, 2015, 91, (2), pp. 022919
Issue Date:: 2015-02

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Field	Value	Language
dc.contributor.author	Chowdury, A
dc.contributor.author	Kedziora, DJ
dc.contributor.author	Ankiewicz, A
dc.contributor.author	Akhmediev, N
dc.date.accessioned	2023-03-28T21:54:11Z
dc.date.available	2023-03-28T21:54:11Z
dc.date.issued	2015-02
dc.identifier.citation	Phys Rev E Stat Nonlin Soft Matter Phys, 2015, 91, (2), pp. 022919
dc.identifier.issn	1539-3755
dc.identifier.issn	1550-2376
dc.identifier.uri	http://hdl.handle.net/10453/168762
dc.description.abstract	We present breather solutions of the quintic integrable equation of the Schrödinger hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear terms. Using a Darboux transformation, we derive first-order and second-order breather solutions. These include first- and second-order rogue-wave solutions. To some extent, these solutions are analogous with the corresponding nonlinear Schrödinger equation (NLSE) solutions. However, the presence of a free parameter in the equation results in specific solutions that have no analogues in the NLSE case. We analyze new features of these solutions.
dc.format	Print-Electronic
dc.language	eng
dc.publisher	AMER PHYSICAL SOC
dc.relation.ispartof	Phys Rev E Stat Nonlin Soft Matter Phys
dc.relation.isbasedon	10.1103/PhysRevE.91.022919
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences, 09 Engineering
dc.subject.classification	Fluids & Plasmas
dc.title	Breather solutions of the integrable quintic nonlinear Schrödinger equation and their interactions.
dc.type	Journal Article
utslib.citation.volume	91
utslib.location.activity	United States
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
utslib.for	09 Engineering
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	2023-03-28T21:54:09Z
pubs.issue	2
pubs.publication-status	Published
pubs.volume	91
utslib.citation.issue	2

Abstract:

We present breather solutions of the quintic integrable equation of the Schrödinger hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear terms. Using a Darboux transformation, we derive first-order and second-order breather solutions. These include first- and second-order rogue-wave solutions. To some extent, these solutions are analogous with the corresponding nonlinear Schrödinger equation (NLSE) solutions. However, the presence of a free parameter in the equation results in specific solutions that have no analogues in the NLSE case. We analyze new features of these solutions.

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http://hdl.handle.net/10453/168762