Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques

Authors

  • Maha S.M. Shehata Zagazig University
  • Hadi Rezazadeh Amol University of Special Modern Technologies
  • Anwar J.M. Jawad Al Rafidain University
  • Emad H.M. Zahran Benha University
  • Ahmet Bekir Eskisehir http://orcid.org/0000-0001-9394-4681

DOI:

https://doi.org/10.31349/RevMexFis.67.050704

Keywords:

The Perturbed Gerdjikov-Ivanov (GI)-equation, the modified extended tanh-function method, the Riccati-Bernoulli Sub-ODE method, Optical solitons.

Abstract

In this article the perturbed Gerdjikov-Ivanov (GI)-equation which acts for the dynamics of propagation of solitons is employed. The balanced modified extended tanh-function and the non-balanced Riccati-Bernoulli Sub-ODE methods are used for the first time to obtain the new optical solitons of this equation. The obtained results give an accuracy interpretation of the propagation of solitons. We held a comparison between our results and those are in the previous work. The efficiency of these methods for constructing the exact solutions has been demonstrated. It is shown that these different technique's reduces the large volume of calculations.

Author Biography

Ahmet Bekir, Eskisehir

Prof. Dr. Ahmet Bekir currently works at Eskisehir. His research interests are soliton theory and exact solutions of partial differential equations in mathematical physics. His favourites in mathematics are ODEs, PDEs, fractional differential equations, integral equations and analytic methods. He has published more than 200 articles journals.

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Published

2021-09-01

How to Cite

[1]
M. S. Shehata, H. Rezazadeh, A. J. Jawad, E. H. Zahran, and A. Bekir, “Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques”, Rev. Mex. Fís., vol. 67, no. 5 Sep-Oct, pp. 050704 1–15, Sep. 2021.

Issue

Vol. 67 No. 5 Sep-Oct (2021): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Copyright (c) 2021 Maha S.M. Shehata, Hadi Rezazadeh, Anwar J.M. Jawad, Emad H.M. Zahran, Ahmet Bekir

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