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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

Year: 2025

Type: article

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.

Source: Afrika Matematika

DOI: 10.1007/s13370-025-01388-5

Authors: Abdullahi Rashid Adem, Yakup Yildirim, Luminita Moraru, Oswaldo González-Gaxiola, Anjan Biswas