Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative

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Fadhal E., AKBULUT A., Kaplan M., Awadalla M., Abuasbeh K.

SYMMETRY-BASEL, cilt.14, sa.11, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 11
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/sym14112390
  • Dergi Adı: SYMMETRY-BASEL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: beta derivative, sasa satsuma equation, wave transformations, exact solutions, DISCRETE FRACTIONAL OPERATORS, POSITIVITY
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Nearly every area of mathematics, natural, social, and engineering now includes research into finding exact answers to nonlinear fractional differential equations (NFDES). In order to discover the exact solutions to the higher order Sasa-Satsuma equation in the sense of the beta derivative, the paper will discuss the modified simple equation (MSE) and exponential rational function (ERF) approaches. In general, symmetry and travelling wave solutions of the Sasa-Satsuma equation have a common correlation with each other, thus we reduce equations from wave transformations to ordinary differential equations with the help of Lie symmetries. Actually, we can say that wave moves are symmetrical. The considered procedures are effective, accurate, simple, and straightforward to compute. In order to highlight the physical characteristics of the solutions, we also provide 2D and 3D plots of the results.