Retrieval optical solitons of perturbed Radhakrishnan–Kundu–Lakshmanan equation

Albayrak P., Özışık M., Seçer A., Bayram M.

INTERNATIONAL CONFERENCE ON NONLINEAR SCIENCE AND COMPLEXITY, 2023, İstanbul, Turkey, 10 - 15 July 2023, pp.91

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.91
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper, the soliton behavior of the (2+1)-dimensional perturbed Radhakrishnan-Kundu-Lakshmanan

equation utilizing by the new Kudryashov method is investigated. First of all, the nonlinear ordinary differential

equation form of the perturbed Radhakrishnan-Kundu-Lakshmanan equation has been obtained by inserting the

complex wave transformation into nonlinear partial differential equation form of the perturbed Radhakrishnan-

Kundu-Lakshmanan equation. The algorithm of the proposed method has been expressed and applied to the ob-

tained nonlinear ordinary differential equation. Then, a polynomial expression has been achieved and converted to

linear algebraic system. After solving and selecting the appropriate solution set, different soliton solutions of the

investigated perturbed Radhakrishnan-Kundu-Lakshmanan equation has been derived. Finally, 3D and 2D graph-

ics of some solutions are depicted for chosen suitable parameters.