Chirped Periodic and Solitary Waves for Improved Perturbed Nonlinear Schrödinger Equation with Cubic Quadratic Nonlinearity

In this paper, we study the improved perturbed nonlinear Schrödinger equation with cubic quadratic nonlinearity (IPNLSE-CQN) to describe the propagation properties of nonlinear periodic waves (PW) in fiber optics. We obtain the chirped periodic waves (CPW) with some Jacobi elliptic functions (JEF) a...

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Bibliographic Details
Published in:Fractal and fractional 2021-12, Vol.5 (4), p.234
Main Authors: Seadawy, Aly R., Rizvi, Syed T. R., Althobaiti, Saad
Format: Article
Language:English
Subjects:
chirped soliton
Elliptic functions
Fiber optics
IPNLSE-CQN
Nonlinearity
Ordinary differential equations
periodic wave
Schrodinger equation
Solitary waves
Wave propagation
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Summary:In this paper, we study the improved perturbed nonlinear Schrödinger equation with cubic quadratic nonlinearity (IPNLSE-CQN) to describe the propagation properties of nonlinear periodic waves (PW) in fiber optics. We obtain the chirped periodic waves (CPW) with some Jacobi elliptic functions (JEF) and also obtain some solitary waves (SW) such as dark, bright, hyperbolic, singular and periodic solitons. The nonlinear chirp associated with each of these optical solitons was observed to be dependent on the pulse intensity. The graphical behavior of these waves will also be displayed.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract5040234