4.5 Article

Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives

Journal

OPTIK
Volume 127, Issue 22, Pages 10659-10669

Publisher

ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2016.08.076

Keywords

Nano fibers; Solitons; Hamiltonian perturbations; Traveling waves; Exact solutions

Categories

Funding

  1. Program for Outstanding Young and Middle-aged Scientific and Technological Innovation Team of the Higher Education Institutions of Hubei Province of China [T201525]
  2. Department of Mathematics and Statistics at Tshwane University of Technology
  3. South African National Foundation [92052 IRF1202210126]
  4. Qatar National Research Fund (QNRF) [NPRP 6-021-1-005]

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This paper studies optical solitons with fractional temporal evolution in presence of Hamiltonian perturbation terms. The three types of nonlinearity are Kerr law, parabolic law and dual-power law. The first integral method with conformable fractional derivative is applied to retrieve soliton solutions to the model. Several constraint conditions guarantee the existence of such solitons. (C) 2016 Elsevier GmbH. All rights reserved.

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