Autors: Uzunov, I. M.
Title: Influence of the higher-order effects on the solutions of complex cubic-quintic Ginzburg – Landau equation
Keywords: Nonlinear fiber optics, higher-order effects, complex cubic-

Abstract: The influence of intrapulse Raman scattering (IRS), self-steepening (SS) and third-order of dispersion (TOD) on the solutions of the complex cubic - quintic Ginzburg - Landau equation (CCQGLE) is studied by means of bifurcation analysis of the dynamical model proposed in [32]. The numerical bifurcation diagram of the amplitude of the solution with respect to the nonlinear gain has revealed a cascade of bifurcations that leads to chaotic behavior. The influence of the higher-order effects on this bifurcation diagram has been studied by means of positions and widths of the zones with different types of solutions. We have found that the IRS leads to the larger shifts in positions and widths of the different zones in comparison to the influence of SS and TOD. Using numerical bifurcation diagrams of the amplitude of the solution with respect to the parameter describing IRS the following types of transformations have been identified: a) from chaotic into two-periodic solution; b) from two-

References

    Issue

    Journal of Modern Optics, vol. 67, issue 7, pp. 606-618, 2020, United Kingdom, Taylor & Francis, ISSN 0950-0340

    Copyright Taylor & Francis

    Цитирания (Citation/s):
    1. Seadawy, Aly R., Hanadi Zahed, and Syed TR Rizvi. "Diverse Forms of Breathers and Rogue Wave Solutions for the Complex Cubic Quintic Ginzburg Landau Equation with Intrapulse Raman Scattering." Mathematics 10, no. 11 (2022): 1818. - 2022 - в издания, индексирани в Scopus или Web of Science
    2. Lin, D., Dong, K., Zhang, J., & Shen, Y. (2022). Effect of near PT-symmetric potentials on nonlinear modes for higher-order generalized Ginzburg-Landau model. Communications in Theoretical Physics. - 2022 - в издания, индексирани в Scopus или Web of Science
    3. Vassilev, Vassil M. "Exact solutions to a family of complex Ginzburg-Landau equations with cubic-quintic nonlinearity." arXiv preprint arXiv:2304.07271 (2023). - 2023 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science

    Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science