New chirped gray and kink self–similar waves in presence of quintic nonlinearity and self–steepening effect

Amel Mecelti, Houria Triki, Faiçal Azzouzi, Xiong Wei*, Anjan Biswas, Yakup Yıldırım, Hashim M. Alshehri, Qin Zhou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We demonstrate new types of chirped self-similar waves for a generalized derivative nonlinear Schrödinger equation with varying dispersion, self–steepening effect, cubic–quintic nonlinearity, and gain or loss. The equation arises in modeling femtosecond light propagation in an optical fiber with spatial parameter variations. The newly found self-similar structures take the shape of gray and kink pulses. It is observed that the frequency chirp accompanying these self-similar pulses depends crucially on the intensity of the wave and its amplitude can be effectively governed by adjusting the self-steepening parameter. The dynamical behaviors of the chirped self-similar gray and kink waves are analyzed in a periodic distributed amplification system. The acquired self-similar structures display rich dynamical evolutions that are important in practical applications.

Original languageEnglish
Article number128104
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume437
DOIs
Publication statusPublished - 15 Jun 2022
Externally publishedYes

Keywords

  • Chirp
  • Cubic-quintic
  • Solitons

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