This article is cited in 1 paper

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

A. R. Adem^a, A. Biswas^bcd, Ya. Yildirim<sup>efg

a</sup> Department of Mathematical Sciences, University of South Africa, Pretoria, South Africa
^b Department of Mathematics and Physics, Grambling State University, Grambling, LA, USA
^c Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
^d Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, Galati, Romania
^e Department of Computer Engineering, Biruni University, Istanbul, Turkey
^f Department of Mathematics, Near East University, Nicosia, Cyprus
^g Faculty of Arts and Sciences, University of Kyrenia, Kyrenia, Cyprus

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: quiescent solitons, metamaterials, chromatic dispersion.

Received: 03.02.2025
Revised: 13.02.2025

DOI: 10.4213/tmf10920

 English version: Theoretical and Mathematical Physics, 2025, 224:3, 1509–1526

Bibliographic databases:

• 
• 
•