Solitons in media with mixed, high-order dispersion and cubic nonlinearity

Abstract Although most soliton research has traditionally considered dominant quadratic dispersion, the recent discovery of pure-quartic solitons has inspired analysis of soliton solutions with large higher orders of dispersion. Here we present analytic expressions for families of bright soliton sol...

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Published inJournal of physics. A, Mathematical and theoretical Vol. 55; no. 38; pp. 385701 - 385722
Main Authors Qiang, Y Long, Alexander, Tristram J, Martijn de Sterke, C
Format Journal Article
LanguageEnglish
Published IOP Publishing 23.09.2022
Subjects
analytic solutions
cubic nonlinearity
mixed high-order dispersion
solitons
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Summary:Abstract Although most soliton research has traditionally considered dominant quadratic dispersion, the recent discovery of pure-quartic solitons has inspired analysis of soliton solutions with large higher orders of dispersion. Here we present analytic expressions for families of bright soliton solutions at arbitrary dispersion orders and practical methods to obtain the associated dispersion relations. These results provide a framework for considering higher order dispersion solitons and show the potential for further investigation of solitons in higher order dispersion systems.
Bibliography:JPhysA-117460.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ac8586