The Complex Cubic-Quintic Ginzburg-Landau Equation having Anti-Cubic Law Nonlinearity and Its Optical Solitons


Çınar M., Çakıcıoğlu H., Seçer A., Özışık M., Bayram M.

(hybrid ) International Conference on Nonlinear Science and Complexity (ICNSC23,) July 10-15, 2023, Istanbul-Turkey, İstanbul, Turkey, 10 - 15 July 2023, pp.95

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.95
  • Yıldız Technical University Affiliated: Yes

Abstract

This research investigates optical soliton solutions for the complex cubic-quintic Ginzburg-Landau equation having anti-cubic law nonlinearity which models the wave propagation in optical fibers. The study deals with the enhanced Kudryashov technique, which efficiently generates all solutions obtained from both the classical and the new Kudryashov methods, simultaneously. By applying this method to the considered complex Ginzburg-Landau equation, we successfully get dark, bright, and kink solitons. These soliton types play crucial roles in nonlinear systems and have been observed in diverse physical systems such as optical fibers, Bose-Einstein condensates, and superconductors. The findings of this investigation offer valuable insights into the behavior of soliton solutions for the complex cubic-quintic Ginzburg-Landau equation with anti-cubic law nonlinearity and have the potential to advance new technologies in nonlinear optics.