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

Amour Marc Ayela, Gaston Edah, Camille Elloh, Anjan Biswas, Mehmet Ekici*, Abdullah Khamis Alzahrani, Milivoj R. Belic

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We apply variational method to the perturbed nonlinear Schrödinger 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.

Original languageEnglish
Article number127231
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume396
DOIs
Publication statusPublished - 26 Apr 2021
Externally publishedYes

Keywords

  • Quadratic–cubic nonlinearity
  • Solitons
  • Variational approach

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