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, Turkey, 23 - 25 June 2025, pp.114, (Summary Text)

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.114
  • Yıldız Technical University Affiliated: Yes

Abstract

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