Dark and singular soliton solutions of perturbed Gerdjikov-Ivanov equation via the first integral method

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    This paper employs the first integral method in obtaining dark and singular soliton solutions of perturbed Gerdjikov-Ivanov equation showing that the method is a powerful tool for finding exact solutions of many nonlinear evolution (NLE) equations which are found in the studies of social dynamics, nonlinear science and engineering.



  • Keywords

    Fiber Optics; First Integral Method; Gerdjikov-Ivanov Equation; Group Velocity Dispersion; Solitons.

  • References

      [1] Biswas, A, Ekici,M, Sonmezoglu,A, Mazid, F. B., Triki, H., Zhou,Q, Moshokoa, S. P., Belic M (2018)., Optical soliton perturbation for Gerdjikov-Ivanov equation by extended trial equation method, Optik 158, 747-752. https://doi.org/10.1016/j.ijleo.2017.12.191.

      [2] Biswas, A., Yildrim,Y., Yasar, E., Triki, H., Alshomrani, A. S., Moshokoa, S. P., Belic, M. (2018) , Optical soliton perturbation with full nonlinearity for Gerdjikov-Ivanov equation by trial equation method, Optik 157, 1214-1218. https://doi.org/10.1016/j.ijleo.2017.12.099.

      [3] Biswas, A., Yildrim, Y., Yasar, E., Zhou, Q., Alshomrani, A. S., Moshokoa, S. P., Belic, M. (2018), Solitons for perturbed Gerdjikov-Ivanov equation in optical fibers and PCF by extended Kudryashov method, Opt. Quant. Electron. 50:149. https://doi.org/10.1007/s11082-018-1417-0.

      [4] Feng Z. S. (2002), the first integral method to study the Burgers-Kortweg-de-Vries equation, J. Phys. A 35(2), 343-349. https://doi.org/10.1088/0305-4470/35/2/312.

      [5] Feng, Z. S. (2002), on explicit exact solutions to the compound Burgers Kortweg-de-Vries equation, Phys. Lett. A 293, 57-66. https://doi.org/10.1016/S0375-9601(01)00825-8.

      [6] Feng, Z. S. (2008), travelling wave behavior for a generalized Fisher equation, Chaos, Solitons, Fract. 38, 481-488. https://doi.org/10.1016/j.chaos.2006.11.031.

      [7] Feng, Z. S. and Wang, X. H. (2002), the first integral method to the two dimensional Burgers-KdV equation, Phys. Lett. A 308, 173-178. https://doi.org/10.1016/S0375-9601(03)00016-1.

      [8] Taghizadeh, N., Mirzazadeh, M., Farahrooz, F. (2011), Exact solutions of the nonlinear Schrodinger equation by the first integral method, J. Math. Anal. Appl. 374, 549-553. https://doi.org/10.1016/j.jmaa.2010.08.050.

      [9] Bekir,A. and Unsal, O. (2012), Analytical treatment of nonlinear evolution equations using the first integral method, Pramana J. Phys. 79, 3-17. https://doi.org/10.1007/s12043-012-0282-9.




Article ID: 13829
DOI: 10.14419/ijpr.v6i2.13829

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.