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

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GİRESUNLU İ. B., YILDIZ B.

Universal Journal of Mathematics and Applications, cilt.6, sa.2, ss.53-64, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.32323/ujma.1289530
  • Dergi Adı: Universal Journal of Mathematics and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.53-64
  • Anahtar Kelimeler: Hyperbolic soliton, Lakshmanan-Porsezian-Daniel equation, Parabolic soliton, Trigonometric soliton
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.