Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation
Universal Journal of Mathematics and Applications, vol.6, no.2, pp.53-64, 2023 (Scopus)
- Publication Type: Article / Article
- Volume: 6 Issue: 2
- Publication Date: 2023
- Doi Number: 10.32323/ujma.1289530
- Journal Name: Universal Journal of Mathematics and Applications
- Journal Indexes: Scopus
- Page Numbers: pp.53-64
- Keywords: Hyperbolic soliton, Lakshmanan-Porsezian-Daniel equation, Parabolic soliton, Trigonometric soliton
- Open Archive Collection: AVESIS Open Access Collection
- Bilecik Şeyh Edebali University Affiliated: Yes
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.