NEW SOLITON SOLUTIONS IN NANO-FIBERS WITH SPACE-TIME FRACTIONAL DERIVATIVES

Thilagarajah Mathanaranjan and Dayalini Vijayakumar
Additional contact information
Thilagarajah Mathanaranjan: Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka
Dayalini Vijayakumar: Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka

FRACTALS (fractals), 2022, vol. 30, issue 07, 1-10

Abstract: The conformable space-time fractional perturbed nonlinear Schrödinger equation (PNLSE) having three different laws of nonlinearity namely, Kerr law, parabolic law, and power law is considered in this paper. The PNLSE is a nonlinear model which arises in nano-fibers. An efficient technique called the exp(−Φ(ξ))-expansion method is utilized to construct some new soliton solutions of the considered model. As a result, dark, singular, rational and periodic solitary wave solutions are obtained. For the special choice of parameters, the 3D, 2D and contour surfaces of the reported solutions are plotted.

Keywords: Fractional Perturbed Nonlinear Schrödinger Equation; Conformable Derivative; Soliton Solutions; exp(−Φ(ξ))-Expansion Method (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22501419
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:07:n:s0218348x22501419

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22501419

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().