Traveling wave solutions of Fordy–Gibbons equation


ÇEVİKEL A. C.

Modern Physics Letters B, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s0217984924504487
  • Dergi Adı: Modern Physics Letters B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Anahtar Kelimeler: Exact solutions, Fordy–Gibbons equation, traveling wave solutions
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The Fordy–Gibbons equation is a nonlinear di®erential equation. Physically, the motion of a damped oscillator with a more complex potential than in basic harmonic motion is described by the Fordy–Gibbons equation. For the equation under consideration, numerous novel families of precise analytical solutions are being successfully found. The soliton solutions are represented as rational and exponential functions. To further illustrate the potential and physical behavior of the equation, the ¯ndings are also stated visually. Three approaches are suggested in this paper for solving the Fordy–Gibbons equation. These solutions are new solutions.