INTERNATIONAL CONFERENCE ON NONLINEAR SCIENCE AND COMPLEXITY, 2023, İstanbul, Türkiye, 10 - 15 Temmuz 2023, ss.91
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.