Semiconductor Physics, Quantum Electronics & Optoelectronics, 24 (1), P. 64-70 (2021).


Optical soliton perturbation and conservation law with Kudryashov’s refractive index having quadrupled power-law and dual form of generalized nonlocal nonlinearity
Y. Yildirim1 , A. Biswas2,3,4,5, A.H. Kara6, M. Ekici7, S. Khan2 & M.R. Belic8

1Department of Mathematics, Faculty of Arts and Sciences,
Near East University, 99138 Nicosia, Cyprus
2 Department of Physics, Chemistry and Mathematics,
Alabama A&M University, Normal, AL 35762–4900, USA
3 Department of Mathematics, King Abdulaziz University,
Jeddah–21589, Saudi Arabia
4 Department of Applied Mathematics, National Research Nuclear University,
31 Kashirskoe Hwy, Moscow–115409, Russian Federation
5 Department of Mathematics and Applied Mathematics,
Sefako Makgatho Health Sciences University, Medunsa–0204, South Africa
6 School of Mathematics, University of the Witwatersrand,
Private Bag 3, Wits–2050, Johannesburg, South Africa
7 Department of Mathematics, Faculty of Science and Arts,
Yozgat Bozok University, 66100 Yozgat, Turkey
8 Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar

Abstract. This paper is devoted to optical solitons for Kudryashov’s law of nonlinear refractive index, which stem from quadrupled-power law and dual form of nonlocal nonlinearity. The conservation law has been also exhibited to paint a complete picture of the model.

Keywords: solitons, Kudryashov’s law, perturbation, conservation law.

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