Close Search Advanced
Journals
Resources
About Us
Open Access

Closed Form Solutions of the Perturbed Gerdjikov-Ivanov Equation with Variable Coefficients

Closed Form Solutions of the Perturbed Gerdjikov-Ivanov Equation with Variable Coefficients
Preview
Add to basket

Year:    2021

Author:    C.A. Gómez S., A. Jhangeer, H. Rezazadeh, R.A. Talarposhti, A. Bekir

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 207–218

Abstract

The solutions of the perturbed Gerdjikov-Ivanov equation with coefficients depending on temporal variable are obtained. They are presented in terms of generalised solitary and periodic solutions and can be used to determine new solutions of the classical perturbed Gerdjikov-Ivanov equation with special sets of constant coefficients.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.230620.070920

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 1 : pp. 207–218

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Perturbed Gerdjikov-Ivanov equation with variable coefficients periodic and soliton solutions improved tanh-coth method Exp-function method.

Author Details

C.A. Gómez S.

A. Jhangeer

H. Rezazadeh

R.A. Talarposhti

A. Bekir

  1. On soliton solutions for perturbed Fokas–Lenells equation

    Gomez S, Cesar A.. | Roshid, Harun-Or | Inc, Mustafa | Akinyemi, Lanre | Rezazadeh, Hadi

    Optical and Quantum Electronics, Vol. 54 (2022), Iss. 6

    https://doi.org/10.1007/s11082-022-03796-4 [Citations: 20]

  2. A variety of soliton solutions for the Mikhailov-Novikov-Wang dynamical equation via three analytical methods

    Raza, Nauman | Seadawy, Aly R. | Arshed, Saima | Rafiq, Muhammad H.

    Journal of Geometry and Physics, Vol. 176 (2022), Iss. P.104515

    https://doi.org/10.1016/j.geomphys.2022.104515 [Citations: 22]

  3. Some novel integration techniques to explore the conformable M-fractional Schrödinger-Hirota equation

    Zafar, Asim | Raheel, M. | Asif, M. | Hosseini, Kamyar | Mirzazadeh, Mohammad | Akinyemi, Lanre

    Journal of Ocean Engineering and Science, Vol. 7 (2022), Iss. 4 P.337

    https://doi.org/10.1016/j.joes.2021.09.007 [Citations: 19]

  4. Optical solitons for the nonlinear perturbed Gerdjikov-Ivanov equation with constant and variable coefficients

    Arshed, Saima | Akram, Ghazala | Sadaf, Maasoomah | Bakhtawer, Pakeeza | Hamed, Y. S.

    Optical and Quantum Electronics, Vol. 56 (2024), Iss. 8

    https://doi.org/10.1007/s11082-024-07288-5 [Citations: 0]

  5. Bifurcation analysis and multi-stability of chirped form optical solitons with phase portrait

    Rehman, Zia Ur | Hussain, Zamir | Li, Zhixiong | Abbas, Tasawar | Tlili, Iskander

    Results in Engineering, Vol. 21 (2024), Iss. P.101861

    https://doi.org/10.1016/j.rineng.2024.101861 [Citations: 3]

  6. On the exact solutions of optical perturbed fractional Schrödinger equation

    Ozkan, Erdogan Mehmet | Yildirim, Ozgur | Ozkan, Ayten

    Physica Scripta, Vol. 98 (2023), Iss. 11 P.115104

    https://doi.org/10.1088/1402-4896/acfa2f [Citations: 9]

  7. New conservation laws and exact solutions of coupled Burgers' equation

    Akbulut, Arzu | Sajjad Hashemi, Mir | Rezazadeh, Hadi

    Waves in Random and Complex Media, Vol. 34 (2024), Iss. 4 P.3579

    https://doi.org/10.1080/17455030.2021.1979691 [Citations: 8]

  8. New solitary wave solutions of the Korteweg-de Vries (KdV) equation by new version of the trial equation method

    Pandir, Yusuf | Ekin, Ali

    Electronic Journal of Applied Mathematics, Vol. 1 (2023), Iss. 1 P.101

    https://doi.org/10.61383/ejam.20231130 [Citations: 32]

  9. Miniaturization of dual bands fractal-based microstrip patch fractal antenna for X and Ku bands applications

    Froumsia, Dokrom | Jean-François, Essiben Dikoundou | Houwe, Alphonse | Inc, Mustafa

    The European Physical Journal Plus, Vol. 137 (2022), Iss. 6

    https://doi.org/10.1140/epjp/s13360-022-02969-0 [Citations: 5]

  10. A view of solitary wave solutions to the fractional DNA Peyrard-Bishop equation via a new approach

    Özkan, Ayten

    Physica Scripta, Vol. 99 (2024), Iss. 5 P.055269

    https://doi.org/10.1088/1402-4896/ad3e32 [Citations: 2]

  11. Extraction of new bright and Kink soliton solutions related to Ginzburg Landau equation incorporating fractal effects

    Raza, Nauman | Alhussain, Ziyad A.

    Optical and Quantum Electronics, Vol. 54 (2022), Iss. 1

    https://doi.org/10.1007/s11082-021-03402-z [Citations: 5]

  12. Consistent travelling waves solutions to the non-linear time fractional Klein–Gordon and Sine-Gordon equations through extended tanh-function approach

    Sadiya, Umme | Inc, Mustafa | Arefin, Mohammad Asif | Uddin, M. Hafiz

    Journal of Taibah University for Science, Vol. 16 (2022), Iss. 1 P.594

    https://doi.org/10.1080/16583655.2022.2089396 [Citations: 35]

  13. Specific optical solitons solutions to the coupled Radhakrishnan–Kundu–Lakshmanan model and modulation instability gain spectra in birefringent fibers

    Abbagari, Souleymanou | Houwe, Alphonse | Doka, Serge Y. | Inc, Mustafa | Bouetou, Thomas B.

    Optical and Quantum Electronics, Vol. 54 (2022), Iss. 1

    https://doi.org/10.1007/s11082-021-03359-z [Citations: 13]

  14. New strategic method for fractional mitigating internet bottleneck with quadratic–cubic nonlinearity

    Manafian, Jalil | Ilhan, Onur Alp | Mohyaldeen, Sherin Youns | Zeynalli, Subhiya M. | Singh, Gurpreet

    Mathematical Sciences, Vol. 15 (2021), Iss. 4 P.345

    https://doi.org/10.1007/s40096-020-00373-2 [Citations: 2]

  15. Chaotic behavior and traveling wave solutions of the fractional stochastic Zakharov system with multiplicative noise in the Stratonovich sense

    Han, Tianyong | Tang, Chao | Zhang, Kun | Zhao, Lingzhi

    Results in Physics, Vol. 48 (2023), Iss. P.106404

    https://doi.org/10.1016/j.rinp.2023.106404 [Citations: 12]

  16. Analytical solutions of (2+1)-dimensional time conformable Schrödinger equation using improved sub-equation method

    Özkan, Erdoğan Mehmet | Akar, Mutlu

    Optik, Vol. 267 (2022), Iss. P.169660

    https://doi.org/10.1016/j.ijleo.2022.169660 [Citations: 13]

  17. Novel soliton solutions of four sets of generalized (2+1)-dimensional Boussinesq–Kadomtsev–Petviashvili-like equations

    Akinyemi, Lanre | Şenol, Mehmet | Az-Zo’bi, Emad | Veeresha, P. | Akpan, Udoh

    Modern Physics Letters B, Vol. 36 (2022), Iss. 01

    https://doi.org/10.1142/S0217984921505308 [Citations: 31]

  18. Chaotic pattern, bifurcation, sensitivity and traveling wave solution of the coupled Kundu–Mukherjee–Naskar equation

    Li, Zhao | Hu, Hanlei

    Results in Physics, Vol. 48 (2023), Iss. P.106441

    https://doi.org/10.1016/j.rinp.2023.106441 [Citations: 22]

  19. W-shaped profile and breather-like soliton of the fractional nonlinear Schrödinger equation describing the polarization mode in optical fibers

    Houwe, Alphonse | Abbagari, Souleymanou | Djorwe, Philippe | Saliou, Youssoufa | Doka, Serge Y. | Inc, Mustafa

    Optical and Quantum Electronics, Vol. 54 (2022), Iss. 8

    https://doi.org/10.1007/s11082-022-03859-6 [Citations: 12]

  20. A study of novel optical solutions of the space-time fractional cubic nonlinear Schrödinger equation

    Özkan, Ayten | Özkan, Erdoĝan Mehmet

    Optical and Quantum Electronics, Vol. 56 (2024), Iss. 2

    https://doi.org/10.1007/s11082-023-05779-5 [Citations: 4]

  21. Propagations of symmetric bidirectional nonlinear waves in two-mode foam drainage model

    Alquran, Marwan | Ali, Mohammed | Hamadneh, Mohammad

    Results in Physics, Vol. 43 (2022), Iss. P.106071

    https://doi.org/10.1016/j.rinp.2022.106071 [Citations: 1]