Implicit quiescent optical soliton perturbation having nonlinear chromatic dispersion and generalized temporal evolution with Kudryashov’s forms of self-phase modulation structure by Lie symmetry
Abstract The article investigates the nonlinear Schrödinger’s equation using nonlinear chromatic dispersion and a generalised temporal evolution. Lie symmetry retrieves quiescent optical solitons from the model. The solutions are implicit, with quadratures and expressed in terms of elliptic and periodic functions. The six self-phase modulation structures examined in this study were first introduced by Kudryashov.
Authors
- Yakup Yıldırım (ORCID: https://orcid.org/0000-0003-4443-3337)
- Luminița Moraru (ORCID: https://orcid.org/0000-0002-9121-5714)
- O. González-Gaxiola (ORCID: https://orcid.org/0000-0003-3317-9820)
- Anjan Biswas (ORCID: https://orcid.org/0000-0002-4323-5657)
- A. R. Adem (ORCID: https://orcid.org/0000-0001-2345-6789)
Institutions
- Khazar University (AZ)
- Grambling State University (US)
- University of South Africa (ZA)
- Universidad Autónoma Metropolitana (MX)
- Sefako Makgatho Health Sciences University (ZA)
- "Dunarea de Jos" University of Galati (RO)
- Biruni University (TR)
- Near East University (CY)
Publication Details
- Journal
- Afrika Matematika
- Published
- 2025-11-11
- DOI
- https://doi.org/10.1007/s13370-025-01388-5
- Citations
- 1
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 1.32