Traveling wave solutions of Fordy–Gibbons equation

ÇEVİKEL A. C.

Modern Physics Letters B, vol.39, no.8, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 8
  • Publication Date: 2025
  • Doi Number: 10.1142/s0217984924504487
  • Journal Name: Modern Physics Letters B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Keywords: Exact solutions, Fordy-Gibbons equation, traveling wave solutions
  • Yıldız Technical University Affiliated: Yes

Abstract

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.