Exact Solutions of the Time fractional Benney-Luke Equation and the Second Order Benjamin-Ono Equation

Bakşi Ö., Kızılbudak Çalışkan S.

TURAN-FUNDAMENTAL SCINCES SYMPOSIUM, İstanbul, Türkiye, 23 - 25 Haziran 2025, ss.114, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.114
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this study, we obtain the exact solutions of the time-fractional non-linear Benney-Luke equation and the second order Benjamin-Ono equation, which are difficult to solve analytically by converting them into ordinary differential equations using a conformable derivative transformation and the exponential function method. This method helps us examine the behavior of the solutions and understand the effects of different parameter values on them. We also present graphical illustrations of some solutions for different values of the parameters in our study