Implicit Quiescent Solitons in Optical Metamaterials with Nonlinear Chromatic Dispersion and an Array of Self-Phase Modulation Structures with Generalized Temporal Evolution by Lie Symmetry

Telecom 2026 Open access

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Authors: Abdullahi Rashid Adem, O. González-Gaxiola, Ahmed H. Arnous, Lina S. Calucag, Anjan Biswas
DOI: 10.3390/telecom7010006
Cited by: 3
References: 36

Abstract

The current paper retrieves implicit quiescent soliton solutions to optical metamaterials with nonlinear chromatic dispersion with generalized temporal evolution. Seven forms of self-phase modulation structures, as proposed by Kudryashov with time, are taken up. The implemented integration algorithm is Lie symmetry. A few of the solutions are in quadratures, while others are in terms of special functions. We also characterize the parameters that constrain the existence of such solutions.

Fields of Study & Subjects

Nonlinear Waves and Solitons Nonlinear Photonic Systems Quantum Mechanics and Non-Hermitian Physics

Publication details

Journal / source
Telecom
Publisher
MDPI AG
Volume
7
Issue
1
Pages
6–6
Publication date
4 January 2026
Language
EN