Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation

Authors : İlker Burak GİRESUNLU, Bengi YILDIZ

Pages : 53-64

Doi:10.32323/ujma.1289530

View : 34 | Download : 40

Publication Date : 2023-07-01

Article Type : Research Paper

Abstract :In this paper, the Lakshmanan-Porsezian-Daniel insert ignore into journalissuearticles values(LPD); equation is studied. New analytical rational solitons to the LPD equation are presented by an ansatz method. Wave solutions of three types, such as parabolic, trigonometric and hyperbolic function solutions have been retrieved. All solutions are plotted in 3D to enhance the understanding of their physical characteristics. These simulations, which represent the behavior of the resulting hyperbolic, parabolic and trigonometric solitons, are provided by choosing different appropriate values of the parameters.
Keywords : Hyperbolic soliton, Lakshmanan Porsezian Daniel equation, Parabolic soliton, Trigonometric soliton