Stable fundamental two-dimensional solitons in media with competing nonlocal interactions

Pawel S. Jung; Georgios G. Pyrialakos; Jacek Pilka; Michal Kwasny; Ula Laudyn; Marek Trippenbach; Demetrios N. Christodoulides; Wieslaw Krolikowski

doi:10.1016/j.chaos.2023.113381

Stable fundamental two-dimensional solitons in media with competing nonlocal interactions

Pawel S. Jung^*, Georgios G. Pyrialakos, Jacek Pilka, Michal Kwasny, Ula Laudyn, Marek Trippenbach, Demetrios N. Christodoulides, Wieslaw Krolikowski

^*Corresponding author for this work

Research School of Physics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Soliton attract a great deal of attention across various disciplines, from optics to fluid mechanics, cosmology, as well as particle and condensed matter physics, due to their unique characteristics and applications. Although various soliton solutions are known, it is rare to find stable fundamental bright solitons with complex amplitude structures in two transverse dimensions. Here we show that the interplay between nonlocal nonlinear light–matter attraction and repulsion can lead to novel types of solutions in two spatial dimensions. We find unusual new fundamental soliton solutions exhibiting complex intensity but constant phase profiles with rectangular and cylindrical symmetries. We also employ an analytically tractable novel model for a complex linear potential whose two-peak ground states mimic two-peak solitons.

Original language	English
Article number	113381
Journal	Chaos, Solitons and Fractals
Volume	171
DOIs	https://doi.org/10.1016/j.chaos.2023.113381
Publication status	Published - Jun 2023

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title = "Stable fundamental two-dimensional solitons in media with competing nonlocal interactions",

abstract = "Soliton attract a great deal of attention across various disciplines, from optics to fluid mechanics, cosmology, as well as particle and condensed matter physics, due to their unique characteristics and applications. Although various soliton solutions are known, it is rare to find stable fundamental bright solitons with complex amplitude structures in two transverse dimensions. Here we show that the interplay between nonlocal nonlinear light–matter attraction and repulsion can lead to novel types of solutions in two spatial dimensions. We find unusual new fundamental soliton solutions exhibiting complex intensity but constant phase profiles with rectangular and cylindrical symmetries. We also employ an analytically tractable novel model for a complex linear potential whose two-peak ground states mimic two-peak solitons.",

keywords = "Competing nonlocal light–matter interactions, Nonlinear physics, Soft matter, Spatial solitons",

author = "Jung, {Pawel S.} and Pyrialakos, {Georgios G.} and Jacek Pilka and Michal Kwasny and Ula Laudyn and Marek Trippenbach and Christodoulides, {Demetrios N.} and Wieslaw Krolikowski",

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year = "2023",

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doi = "10.1016/j.chaos.2023.113381",

language = "English",

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journal = "Chaos, Solitons and Fractals",

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T1 - Stable fundamental two-dimensional solitons in media with competing nonlocal interactions

AU - Jung, Pawel S.

AU - Pyrialakos, Georgios G.

AU - Pilka, Jacek

AU - Kwasny, Michal

AU - Laudyn, Ula

AU - Trippenbach, Marek

AU - Christodoulides, Demetrios N.

AU - Krolikowski, Wieslaw

PY - 2023/6

Y1 - 2023/6

N2 - Soliton attract a great deal of attention across various disciplines, from optics to fluid mechanics, cosmology, as well as particle and condensed matter physics, due to their unique characteristics and applications. Although various soliton solutions are known, it is rare to find stable fundamental bright solitons with complex amplitude structures in two transverse dimensions. Here we show that the interplay between nonlocal nonlinear light–matter attraction and repulsion can lead to novel types of solutions in two spatial dimensions. We find unusual new fundamental soliton solutions exhibiting complex intensity but constant phase profiles with rectangular and cylindrical symmetries. We also employ an analytically tractable novel model for a complex linear potential whose two-peak ground states mimic two-peak solitons.

AB - Soliton attract a great deal of attention across various disciplines, from optics to fluid mechanics, cosmology, as well as particle and condensed matter physics, due to their unique characteristics and applications. Although various soliton solutions are known, it is rare to find stable fundamental bright solitons with complex amplitude structures in two transverse dimensions. Here we show that the interplay between nonlocal nonlinear light–matter attraction and repulsion can lead to novel types of solutions in two spatial dimensions. We find unusual new fundamental soliton solutions exhibiting complex intensity but constant phase profiles with rectangular and cylindrical symmetries. We also employ an analytically tractable novel model for a complex linear potential whose two-peak ground states mimic two-peak solitons.

KW - Competing nonlocal light–matter interactions

KW - Nonlinear physics

KW - Soft matter

KW - Spatial solitons

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U2 - 10.1016/j.chaos.2023.113381

DO - 10.1016/j.chaos.2023.113381

M3 - Article

SN - 0960-0779

VL - 171

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 113381

ER -

Stable fundamental two-dimensional solitons in media with competing nonlocal interactions

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