THERMAL SCIENCE

International Scientific Journal

Esma Ulutas

,

Mustafa Inc

,

Dumitru Baleanu

,

Sunil Kumar

BRIGHT, DARK, AND SINGULAR OPTICAL SOLITON SOLUTIONS FOR PERTURBED GERDJIKOV-IVANOV EQUATION

ABSTRACT
This study consider Gerdjikov-Ivanov equation where the perturbation terms appear with full non-linearity. The Jacobi elliptic function ansatz method is implemented to obtain exact solutions of this equation that models pulse dynamics in optical fibers. It is retrieved some bright, dark optical and singular solitons profile in the limiting cases of the Jacobi elliptic functions. The constraint conditions depending on the parameters for the existence of solitons are also presented.
KEYWORDS
Jacobi elliptic functions, optical solitons, Gerdjikov-Ivanov equation
PAPER SUBMITTED: 2021-01-20
PAPER REVISED: 2021-02-10
PAPER ACCEPTED: 2021-02-15
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2151U
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [151 - 156]
REFERENCES
  1. Biswas, A., et al. Optical Soliton Perturbation for Gerdjikov-Ivanov Equation by Extended Trial Equation Method, Optik, 158 (2018), Apr., pp. 747-752
  2. Arshed, S., Two Reliable Techniques for the Soliton Solutions of Perturbed Gerdjikov-Ivanov Equation, Optik, 164 (2018), July, pp. 93-99
  3. Kaur, L., Wazwaz, A. M., Optical Solitons for Perturbed Gerdjikov-Ivanov Equation, Optik, 174 (2018), Dec., pp. 447-451
  4. Biswas, A., Alqahtani, R. T., Chirp-free Bright Optical Solitons for Perturbed Gerdjikov-Ivanov Equation by Semi-Inverse Variational Principle, Optik, 147 (2017), Oct., pp. 72-76
  5. Arshed, S., et al., Optical Soliton Perturbation for Gerdjikov-Ivanov Equation Via Two Analytical Techniques, Chin. J .Phys., 56 (2018), 6, pp. 2879-2886
  6. He, B., Meng, Q., Bifurcations and New Exact Travelling Wave Solutions for the Gerdjikov-Ivanov Equatin, Commun. Non-linear Sci. Numer. Simul., 15 (2010), 7, pp. 1783-1790
  7. Fan, E. G., Darboux Transformation and Soliton-Like Solutions for the Gerdjikov-Ivanov Equation, J. Phys. A, 33 (2000), 39, ID 6925
  8. Luo, J., Fan, E.,  -dressing method for the coupled Gerdjikov-Ivanov equation, Appl. Math. Lett., 110 (2020), Dec., ID 106589
  9. Tian, S., Zhang, T., Long-Time Asymptotic Behavior for the Gerdjikov-Ivanov Type of Derivative Non-Linear Schrodinger Equation with Time-Periodic Boundary Condition, Proc. Am. Math. Soc., 146 (2018) 4, pp. 1713-1729
  10. Biswas, A., et al., Conservation Laws for Gerdjikov-Ivanov Equation in Non-Linear Fiber Optics and PCF, Optik, 148 (2017), Nov., pp. 209-214
  11. Manafian, J., Lakestani, M., Optical Soliton Solutions for the Gerdjikov-Ivanov Model Via tan( /2)- expansion method, Optik, 127 (2016), 20, pp. 9603-9620
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Bright, dark, and singular optical soliton solutions for perturbed Gerdjikov-Ivanov equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence