Abstract
In this paper, we focus on the investigation of optical solitons for ultrashort pulses modeled by the generalized nonlinear Schrödinger equation (NLSE) of third order. The governing model is dealt with by means of auxiliary equation method. The traveling wave theory is applied to reduce the governing model to the elliptic-like equation. Implementing the proposed mathematical tool leads to abundant Jacobi elliptic function (JEFs) solutions which degenerate to hyperbolic function solutions as the modulus of JEFs approaches 1. Accordingly, different forms of optical wave structures including dark, bright, singular, dark-singular and combined singular solitons are derived with existence conditions. The evolutions of some obtained results are displayed graphically which may provide the physical meaning of the complex phenomena related to the governing model.
Original language | English |
---|---|
Article number | 167404 |
Journal | Optik |
Volume | 243 |
DOIs | |
Publication status | Published - Oct 2021 |
Externally published | Yes |
Keywords
- Auxiliary equation method
- Generalized third-order NLSE
- Jacobi elliptic functions
- Optical solitons
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Electrical and Electronic Engineering