Perturbation of Highly Dispersive Solitons in Optical Metamaterials with Twin-Core Couplers and Power-Law of Self-Phase Modulation by Laplace–Adomian Decomposition


González-Gaxiola O., Ahmed J. S., Calucag L. S., Biswas A.

Algorithms, vol.19, no.5, 2026 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 19 Issue: 5
  • Publication Date: 2026
  • Doi Number: 10.3390/a19050342
  • Journal Name: Algorithms
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Aerospace Database, Compendex, INSPEC, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
  • Keywords: couplers, Laplace transforms, optical communication, optical metamaterials, solitons
  • Karadeniz Technical University Affiliated: No

Abstract

This paper utilizes the Laplace–Adomian decomposition method to numerically investigate the highly dispersive bright soliton solutions in twin-core optical couplers that employ metamaterials as waveguides. The focus of the study is on the power-law self-phase modulation. The results of the simulations and the accompanying error analysis demonstrate exceptional accuracy for this numerical approach. These findings suggest that the Laplace–Adomian decomposition method is a robust tool for tackling complex nonlinear problems in optical systems. Furthermore, the implications of this research could pave the way for advancements in the design and optimization of metamaterial-based waveguides, potentially leading to improved performance in applications, such as telecommunications and sensing technologies.