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Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative

  • Nilkanta Das and S. Saha Ray EMAIL logo
Published/Copyright: August 19, 2024
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 79 Issue 10

Abstract

This study focuses on the investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative by the implementation of the generalized projective Riccati equations technique. The proposed method uses symbolic computations to provide a dynamic and powerful mathematical tool for addressing the governing model and yielding significant results. Numerous analytical solutions of the governing model, including bell-shaped soliton solutions, anti-kink soliton solutions, periodic solitary wave solutions and other solutions, have been constructed effectively utilizing this effective technique. The findings acquired from the governing model utilizing the suggested technique demonstrate that all results are novel and presented for the first time in this study. Solitons are of immense significance in the domain of nonlinear optics due to their inherent ability to preserve their shape and velocity during propagation. The study of the propagation and the dynamical behaviour of the derived results have been explored by representing them graphically through 3D, density, and contour plots with different selections of arbitrary parameter values. The solitons acquired from the proposed model can provide significant advantages in the field of fiber-optic transmission technology. The obtained results demonstrate that the suggested approach is extremely promising, straightforward, and efficient. Furthermore, this approach may be effectively used in numerous emerging nonlinear models found in the fields of applied sciences and engineering.

Keywords: Chen–Lee–Liu equation; generalized projective Riccati equations method; conformable fractional derivative
Mathematics Subject Classification 2020: 35C07; 35C08; 35Q51; 35Q55
PACS Numbers: 42.81.Dp; 04.20.Jb; 02.30.Jr; 42.65.Tg; 05.45.Yv
Corresponding author: S. Saha Ray, Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103, West Bengal, India, E-mail: 

  1. Research ethics: Not applicable.

  2. Author contributions: All the authors have equal contribution.

  3. Competing interests: Not applicable.

  4. Research funding: Not applicable.

  5. Data availability: Not applicable.

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Received: 2024-05-17
Accepted: 2024-07-08
Published Online: 2024-08-19
Published in Print: 2024-10-28

© 2024 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Optical Physics
  3. Research on adaptive optics technology based on phase contrast Gerchberg Saxton algorithm
  4. Dynamical Systems & Nonlinear Phenomenas
  5. Free vibration analyses of 3D printed plates with different geometric fillings: experimental testing and numerical simulations
  6. Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative
  7. Invariant analysis of the multidimensional Martinez Alonso–Shabat equation
  8. Solid State Physics & Materials Science
  9. Computation Legendre moments using image analysis technique
https://doi.org/10.1515/zna-2024-0112
Keywords for this article
Chen–Lee–Liu equation; generalized projective Riccati equations method; conformable fractional derivative

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Optical Physics
  3. Research on adaptive optics technology based on phase contrast Gerchberg Saxton algorithm
  4. Dynamical Systems & Nonlinear Phenomenas
  5. Free vibration analyses of 3D printed plates with different geometric fillings: experimental testing and numerical simulations
  6. Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative
  7. Invariant analysis of the multidimensional Martinez Alonso–Shabat equation
  8. Solid State Physics & Materials Science
  9. Computation Legendre moments using image analysis technique
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