Beta derivative applied to dark and singular optical solitons for the resonance perturbed NLSE

Abdullahi Yusuf; Mustafa Inc; Aliyu Isa Aliyu; Dumitru Baleanu

doi:10.1140/epjp/i2019-12810-0

EPJ

Beta derivative applied to dark and singular optical solitons for the resonance perturbed NLSE

Abdullahi Yusuf¹^,2, Mustafa Inc¹, Aliyu Isa Aliyu² and Dumitru Baleanu³^,4^*

¹ Department of Mathematics, Firat University, Science Faculty, 23119, Elazig, Turkey
² Department of Mathematics, Federal University Dutse, Science Faculty, 7156, Jigawa, Nigeria
³ Department of Mathematics, Cankaya University, Ögretmenler Cad. 1406530, Ankara, Turkey
⁴ Institute of Space Sciences, Magurele, Bucharest, Romania

Received: 14 January 2019
Accepted: 10 June 2019
Published online: 9 September 2019

Abstract

In this research we obtain some dark and singular solitons for the resonance perturbed nonlinear Schrödinger equation (NLSE) with beta derivative (BD). Two well-known analytical approaches have been utilised to extract the results. The constraints conditions are stated for the well-being and existence of the results. Some figures have been plotted to demonstrate the physical behavior of the obtained solutions.

23rd International Summer School on Vacuum, Electron, and Ion Technologies (VEIT)
18-22 September 2023
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EPJ

Beta derivative applied to dark and singular optical solitons for the resonance perturbed NLSE

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