Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry

A. R. Adem; A. Biswas; Y. Yildirim

doi:10.1134/S0040577925090016

Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry

A. R. Adem, A. Biswas^*, Y. Yildirim

^*Corresponding author for this work

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

Abstract

Abstract: We find implicit quiescent solitons in optical metamaterials with nonlinear chromatic dispersion and several forms of self-phase modulation structures. The temporal evolution is however assumed to be linear. Some of the self-phase modulation structures yield results with quadratures. In each case, the governing model is integrated by applying Lie symmetry.

Original language	English
Pages (from-to)	1509-1526
Number of pages	18
Journal	Theoretical and Mathematical Physics (Russian Federation)
Volume	224
Issue number	3
DOIs	https://doi.org/10.1134/S0040577925090016
Publication status	Published - Sept 2025
Externally published	Yes

Keywords

chromatic dispersion
metamaterials
quiescent solitons

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10.1134/S0040577925090016

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title = "Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry",

abstract = "Abstract: We find implicit quiescent solitons in optical metamaterials with nonlinear chromatic dispersion and several forms of self-phase modulation structures. The temporal evolution is however assumed to be linear. Some of the self-phase modulation structures yield results with quadratures. In each case, the governing model is integrated by applying Lie symmetry.",

keywords = "chromatic dispersion, metamaterials, quiescent solitons",

author = "Adem, \{A. R.\} and A. Biswas and Y. Yildirim",

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year = "2025",

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doi = "10.1134/S0040577925090016",

language = "English",

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T1 - Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry

AU - Adem, A. R.

AU - Biswas, A.

AU - Yildirim, Y.

N1 - Publisher Copyright: © Pleiades Publishing, Ltd. 2025.

PY - 2025/9

Y1 - 2025/9

N2 - Abstract: We find implicit quiescent solitons in optical metamaterials with nonlinear chromatic dispersion and several forms of self-phase modulation structures. The temporal evolution is however assumed to be linear. Some of the self-phase modulation structures yield results with quadratures. In each case, the governing model is integrated by applying Lie symmetry.

AB - Abstract: We find implicit quiescent solitons in optical metamaterials with nonlinear chromatic dispersion and several forms of self-phase modulation structures. The temporal evolution is however assumed to be linear. Some of the self-phase modulation structures yield results with quadratures. In each case, the governing model is integrated by applying Lie symmetry.

KW - chromatic dispersion

KW - metamaterials

KW - quiescent solitons

UR - https://www.scopus.com/pages/publications/105017861911

U2 - 10.1134/S0040577925090016

DO - 10.1134/S0040577925090016

M3 - Article

AN - SCOPUS:105017861911

SN - 0040-5779

VL - 224

SP - 1509

EP - 1526

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

IS - 3

ER -

Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry

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Keywords

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