Bright solitons under the influence of third-order dispersion and self-steepening effect

Zara Kasapeteva*, Aneliya Dakova, Stefka Krasteva, Valeri Slavchev, Diana Dakova, Lubomir Kovachev, Anjan Biswas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In the present work the propagation of bright solitons under the influence of third-order of linear dispersion and self-steepening effect in single-mode fibers is analytically studied. Such optical pulses can be observed as a result of the dynamic balance between higher orders of dispersive and nonlinear phenomena. New analytical solutions of the nonlinear amplitude equation (NAE) in the form of cnoidal waves are found. The solutions are presented by Jacobi elliptic delta functions. It is shown that at certain values of the parameter k, representing modulus of ellipticity, the solutions can be reduced to sech-soliton.

Original languageEnglish
Article number352
JournalOptical and Quantum Electronics
Volume54
Issue number6
DOIs
Publication statusPublished - Jun 2022
Externally publishedYes

Keywords

  • Cnoidal waves
  • Nonlinear amplitude equation
  • Optical solitons

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