Chirped super-Gaussian and super-sech pulse perturbation of nonlinear Schrodinger's equation with quadratic-cubic nonlinearity by variational principle


Ayela A. M., Edah G., Elloh C., Biswas A., EKİCİ M., Alzahrani A. K., ...More

PHYSICS LETTERS A, vol.396, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 396
  • Publication Date: 2021
  • Doi Number: 10.1016/j.physleta.2021.127231
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, Metadex, Philosopher's Index, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: Solitons, Quadratic-cubic nonlinearity, Variational approach, COLLECTIVE VARIABLE APPROACH, DISPERSION-MANAGED SOLITONS, GINZBURG-LANDAU EQUATION, OPTICAL SOLITONS, STOCHASTIC PERTURBATION, BANDPASS-FILTERS, METAMATERIALS, DYNAMICS
  • Yozgat Bozok University Affiliated: Yes

Abstract

We apply variational method to the perturbed nonlinear Schrodinger equation having quadratic-cubic form of nonlinearity, to study localized optical pulses. Super-Gaussian and super-sech solitons are used as envelopes for the trial function. Numerical simulations are presented for specific values of the Gaussian and super-sech pulse parameters. The impact of the quadratic-cubic terms on the evolution for different parameters is assessed. In general, when the nonlinear quadratic and cubic coefficients increase, the frequency of the oscillations of the collective variables also increases. (C) 2021 Elsevier B.V. All rights reserved.