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.

References

C Gu Soliton theory and its applications (Springer Science & Business Media) (2013).

N A Kudryashov Physics Letters A 155 269 (1991).

H Zhang Communications in Nonlinear Science and Numerical Simulation 12 627 (2007).

L Kaur and R K Gupta Applied Mathematics and Computation 231 560 (2014).

B Sun and A M Wazwaz Communications in Nonlinear Science and Numerical Simulation 64 1 (2018).

A M Wazwaz Nonlinear Dynamics 91 877 (2018).

L Kaur and A M Wazwaz Romanian Reports in Physics 70 1 (2018).

L Kaur and A M Wazwaz Physica Scripta 93 075203 (2018).

A J A M Jawad Studies in Mathematical Sciences 5 13 (2012).

B Ghanbari and J F G Aguilar Revista Mexicana de Fısica 65 (5) 503-518 (2019).

O A Ilhan and J Manafian, Revista Mexicana de Fısica 65 (6) 658–677 (2019).

M Senol Revista Mexicana de Fısica 66 (3) 297–307 (2019).

E H Zahran Advances in Nanoparticles 4 25 (2015).

M S Shehata American Journal of Computational Mathematics 5 468 (2015).

M Mirzazadeh, M Eslami and A Biswas Computational and Applied Mathematics 33 831 (2014).

E H Zahran and M M Khater Jokull Journal 64 226 (2014).

H Rezazadeh Optik 167 218 (2018).

H Rezazadeh, S M Mirhosseini-Alizamini, M Eslami, M Rezazadeh, M Mirzazadeh and S Abbagari Optik 172 545 (2018).

M Eslami and H Rezazadeh Calcolo 53 475 (2016).

M Eslami and M Mirzazadeh Ocean Engineering 83 133 (2014).

E H Zahran and M M Khater American Journal of Computational Mathematics 4 455 (2014).

M S Shehata International Journal of Computer Applications 109 1 (2015).

M Eslami and M Mirzazadeh Nonlinear Dynamics 83 731 (2016).

M Eslami Nonlinear Dynamics 85 813 (2016).

H. Rezazadeh, A Korkmaz, M Eslami, J Vahidi and R Asghari Optical and Quantum Electronics 50 150 (2018).

F S Khodadad, F Nazari, M Eslami and H Rezazadeh Optical and Quantum Electronics 49 384 (2017).

E H Zahran and M M Khater Applied Mathematical Modelling 40 1769 (2016).

M M Khater, D Lu and E H Zahran Appl. Math. Inf. Sci 11 1347 (2017).

X F Yang, Z C Deng and Y Wei Advances in Difference Equations 2015 117 (2015).

M S Shehata International Journal of Physical Sciences 11 80 (2016).

V S Gerdjikov and M I Ivanov Bulgarian Journal of Physics 10 130 (1983).

E Fan Journal of Mathematical Physics 41 7769 (2000).

H H Dai. and E G Fan Chaos, Solitons and Fractals 22 93 (2004).

X Guo Communications in Nonlinear Science and Numerical Simulation 14 4065 (2009).

B He and Q Meng Communications in Nonlinear Science and Numerical Simulation 15 1783 (2010).

X Lü, W X Ma, J Yu, F Lin and C M Khalique Nonlinear Dynamics 82 1211 (2015).

H Yilmaz Journal of Nonlinear Mathematical Physics 22 32 (2015).

E Fan Journal of Physics A: Mathematical and General 33 6925 (2000).

C Rogers and K W Chow Physical Review E 86 037601 (2012).

J Manafian and M Lakestani Optik 127 9603 (2016).

A Biswas, Y Yıldırım, E Yaşar and M M Babatin Optik 148 209 (2017).

H Triki, R T Alqahtani, Q Zhou and A Biswas Superlattices and Microstructures 111 326 (2017).

J B Zhang, Y Y Gongye and S T Chen Chinese Physics Letters 34 090201 (2017).

A Biswas, Y Yildirim, E Yasar, H Triki, A S Alshomrani, M Z Ulla and M Belic Optik 157 1214 (2018).

L Kaur and A M Wazwaz Optik 174 447 (2018).

Downloads

Published

2021-09-01

Issue

Section

07 Gravitation, Mathematical Physics and Field Theory