Breather-to-soliton conversions described by the quintic equation of the nonlinear Schrödinger hierarchy.

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

Breather-to-soliton conversions described by the quintic equation of the nonlinear Schrödinger hierarchy.

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, (3), pp. 032928
Issue Date:: 2015-03

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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	2023-03-28T21:53:27Z
dc.date.available	2023-03-28T21:53:27Z
dc.date.issued	2015-03
dc.identifier.citation	Phys Rev E Stat Nonlin Soft Matter Phys, 2015, 91, (3), pp. 032928
dc.identifier.issn	1539-3755
dc.identifier.issn	1550-2376
dc.identifier.uri	http://hdl.handle.net/10453/168761
dc.description.abstract	We analyze the quintic integrable equation of the nonlinear Schrödinger hierarchy that includes fifth-order dispersion with matching higher-order nonlinear terms. We show that a breather solution of this equation can be converted into a nonpulsating soliton solution on a background. We calculate the locus of the eigenvalues on the complex plane which convert breathers into solitons. This transformation does not have an analog in the standard nonlinear Schrödinger equation. We also study the interaction between the new type of solitons, as well as between breathers and these solitons.
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.91.032928
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-to-soliton conversions described by the quintic equation of the nonlinear Schrödinger hierarchy.
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	2023-03-28T21:53:26Z
pubs.issue	3
pubs.publication-status	Published
pubs.volume	91
utslib.citation.issue	3

Abstract:

We analyze the quintic integrable equation of the nonlinear Schrödinger hierarchy that includes fifth-order dispersion with matching higher-order nonlinear terms. We show that a breather solution of this equation can be converted into a nonpulsating soliton solution on a background. We calculate the locus of the eigenvalues on the complex plane which convert breathers into solitons. This transformation does not have an analog in the standard nonlinear Schrödinger equation. We also study the interaction between the new type of solitons, as well as between breathers and these solitons.

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http://hdl.handle.net/10453/168761