Retrieval of optical solitons: Complex cubic–quintic Ginzburg–Landau equation augmented with the anti-cubic law

ÇINAR M., Cakicioglu H., SEÇER A., ÖZIŞIK M., BAYRAM M.

Optik, cilt.289, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 289
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.ijleo.2023.171232
  • Dergi Adı: Optik
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC
  • Anahtar Kelimeler: Chromatic dispersion, Detuning effect, Optical fiber, The enhanced Kudryashov method
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This article presents an investigation of soliton solutions for the complex cubic–quintic Ginzburg–Landau equation having anti-cubic law nonlinearity which arises in wave propagation through optical fibers using the enhanced Kudryashov method for the first time. The used method generates all the solutions extracted by classical Kudryashov and new Kudryashov methods at once. This simple yet powerful technique can be applied to a broad range of nonlinear partial differential equations. Applying the method to the Ginzburg–Landau equation, dark, bright, and kink solitons were successfully obtained. Moreover, the effect of the anti-cubic law form, which is the nonlinearity form of the model, on the dynamics of the soliton was examined and it was observed that this form caused a deterioration from a dark soliton to a W-like soliton. Both types of solitons are important in nonlinear systems and are monitored in a variety of physical systems such as optical fibers, Bose–Einstein condensates, and superconductors. This study may have valuable insights into the behavior of soliton solutions of the complex cubic–quintic Ginzburg–Landau equation having anti-cubic law nonlinearity and can contribute to the development of new technologies in nonlinear optics.