Extended hyperbolic function method for the model having cubic-quintic-septimal nonlinearity in weak nonlocal

Document Type : Research Paper

Authors

1 University of Mazandaran, Iran

2 Department of Mathematics, University of Okara, Okara, Pakistan

3 Department of Mathematics, Faculty of Basic Education, University of Kufa,Najaf, Iraq

4 university of guilan, Faculty of mathematics

5 University of Bonab

Abstract

Optical solitons are self-trapped light beams that maintain their shape and transverse dimension
during propagation. This paper investigates the propagation of solitons in an optical material
with a weak nonlocal media, modeled by a cubic-quintic-septimal nonlinearity. The extended
hyperbolic function method is used to derive the exact traveling wave solutions of the equation
expressed in hyperbolic, rational and trigonometric functions multiplied by exponential functions
in the form of the periodic, bright, kink and singular type solitons. These solutions provide
explicit expressions for the behavior of optical waves in media. Our findings provide better
understanding of the dynamics of the nonlinear waves in optical media and may have practical
applications in optical communication and signal processing. The role of nonlocal nonlinearity
and time constant on soliton solutions is also discussed with the help of graphs.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 08 April 2024

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History

  • Receive Date: 01 July 2023
  • Revise Date: 26 February 2024
  • Accept Date: 27 March 2024

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