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

Yıl 2023, Cilt: 6 Sayı: 2, 53 - 64, 01.07.2023

İlker Burak Giresunlu Bengi Yıldız

https://doi.org/10.32323/ujma.1289530

Öz

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.

Anahtar Kelimeler

Hyperbolic soliton, Lakshmanan-Porsezian-Daniel equation, Parabolic soliton, Trigonometric soliton

Kaynakça

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