Cnoidal waves and dark solitons with linear third-order dispersion and self-steepening effect

Aneliya Dakova*, Yaldaz Murad, Zara Kasapeteva, Diana Dakova, Valeri Slavchev, Lubomir Kovachev, Anjan Biswas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The present paper investigates the conditions needed for the generation and propagation of cnoidal waves in the form of dark solitons under the influence of self-steepening effect and linear third-order dispersion. This kind of optical pulses could be obtained in single-mode waveguides due to the precise balance between higher orders of nonlinear and dispersive phenomena. As a basic equation, it is used the nonlinear amplitude equation (NAE). It is found a new analytical solution of this equation in the form of a cnoidal wave (Jacobi elliptic sine function). In the article it is presented that the solution can be reduced to dark soliton at specific values of the modulus of ellipticity κ.

Original languageEnglish
Article number170035
JournalOptik
Volume270
DOIs
Publication statusPublished - Nov 2022
Externally publishedYes

Keywords

  • Cnoidal waves
  • Dark solitons
  • Linear third-order dispersion
  • Self-steepening effect

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