- Universal Journal of Mathematics and Applications
- Vol: 6 Issue: 2
- Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation
Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation
Authors : Ilker Burak Giresunlu, Bengi Yildiz
Pages : 53-64
Doi:10.32323/ujma.1289530
View : 32 | Download : 31
Publication Date : 2023-07-01
Article Type : Research Article
Abstract :In this paper, the Lakshmanan-Porsezian-Daniel (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