On Soliton Solutions of Parabolic Law with Non-Local Nonlinearity for Improved Perturbed Nonlinear Schrödinger Equation

Esen H., Önder İ., 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.105

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.105
  • Yıldız Technical University Affiliated: Yes


The nonlinear Schrödinger equation, which has Kerr, power, parabolic, dual power, cubic, anti-cubic, quadratic-cubic, cubic quintic-septic, triple power nonlinear forms from self phase modulation, is of great importance in the modeling of many physical phenomena, especially in the modeling of soliton transmission in the field of nonlinear optics. In addition to these nonlinearity forms, the cases whether the equation includes group velocity dispersion, spatio-temporal dispersion, perturbation terms are also important for the model created. In this study, under the shadow of all these issues, we aim to obtain the analytical soliton solutions of parabolic law with non-Local nonlinearity for improved perturbed nonlinear Schrödinger equation  having group velocity and spatio-temporal dispersions by implementing the new Kudryashov approach. Following the acquisition of soliton solutions, graphic presentations and necessary comments are the natural parts of the study.