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Exact solitary optical wave solutions and modulational instability of the truncated Ω- fractional Lakshamanan–Porsezian–Daniel model with Kerr, parabolic, and anti-cubic nonlinear laws

Sabi’u, J ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1007/s11082-022-03648-1
  3. Publisher: Springer , 2022
  4. Abstract:
  5. In this article we have acquired exact solitary wave solutions for the truncated Ω- fractional Lakshamanan–Porsezian–Daniel model with Kerr, parabolic, and anti-cubic nonlinear laws employing extended auxiliary technique. Diverse set of exponential function solutions acquired relying on a map between the considered equation and an auxiliary ODE. Obtained solutions are recast in several hyperbolic and trigonometric forms based on different restrictions between parameters involved in equations and integration constants that appear in the solution. A few significant ones among the reported solutions are pictured to perceive the physical utility and peculiarity of the considered model using mathematical software. In the end, the modulation instability analysis of the proposed model with normal derivatives is also carried out for Kerr, parabolic, and anti-cubic nonlinear laws. For these three cases, dispersion relations are obtained and explained with plots. Results turned out here may be useful in network technology to study the characteristics of fiber optic communication over inter-continental distances. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature
  6. Keywords:
  7. Exact solutions ; Extended auxiliary equation technique ; Modulation instability (MI) analysis ; Soliton solutions ; Truncated Ω- fractional ; Modulation ; Nonlinear analysis ; Nonlinear equations ; Nonlinear optics ; Optical signal processing ; Solitons ; Auxiliary equations ; Daniels ; Exact solution ; Extended auxiliary equation technique ; Instability analysis ; Modulation instabilities ; Modulation instability analyse ; Parabolics ; Soliton solutions ; Truncated Ω- fractional ; Exponential functions
  8. Source: Optical and Quantum Electronics ; Volume 54, Issue 5 , 2022 ; 03068919 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s11082-022-03648-1