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Erschienen in: Optical and Quantum Electronics 10/2023

01.10.2023

Analytical soliton solutions for the (2 + 1)-perturbed and higher order cubic–quintic nonlinear Schrödinger equations

verfasst von: Rafiq Ahmad, Ahmad Javid

Erschienen in: Optical and Quantum Electronics | Ausgabe 10/2023

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Abstract

In this paper, a comprehensive analysis of traveling wave solutions of two nonlinear Schrödinger type equations are carried out with help of three different integration techniques namely the tanh–coth, Kudryashov and sine–cosine methods. These equations include the (2 + 1)-dimensional perturbed nonlinear Schrödinger’s equation and cubic–quintic nonlinear Schrödinger’s equation. The obtained travelling wave solutions are in the form of rational function solutions, trigonometric function solutions, exponential function solutions and hyperbolic function solutions. Our proposed results showed that these techniques are reliable to study the nonlinear PDEs in fiber optics. The higher order cubic–quintic nonlinear Schrödinger equation (NLSE) explains the transmission of incredibly low signals and broadband communications that stretch into the spectral region, as well as the doping of optical fiber and the encryption of data in optical fibers.

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Metadaten
Titel
Analytical soliton solutions for the (2 + 1)-perturbed and higher order cubic–quintic nonlinear Schrödinger equations
verfasst von
Rafiq Ahmad
Ahmad Javid
Publikationsdatum
01.10.2023
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 10/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05108-w

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