New solutions for the high-dimensional fractional BLMP equations

ÇEVİKEL A. C.

Journal of Ocean Engineering and Science, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1016/j.joes.2022.06.023
  • Journal Name: Journal of Ocean Engineering and Science
  • Journal Indexes: Scopus
  • Keywords: 02.30.Jr, 04.20.Jb, 05.45.Yv Exact solutions, Conformable fractional derivative, Nonlinear water waves, The Boiti-Leon-Manna-Pempinelli equations
  • Yıldız Technical University Affiliated: Yes

Abstract

© 2022Nonlinear Boiti-Leon-Manna-Pempinelli equation (BLMPE) exhibit significant spectral energy transfer for finite amplitude waves in shallow areas above the flat seafloor. In this study, we given solutions to (2+1), (3+1) and (4+1)-dimensional time-fractional BLMP equations representing the wave propagation through incompressible fluids. We found the exact solutions of the high-dimensional time-fractional BLMP equations. Fractional derivative solutions of these equations have not been found in the literature until now. With this study, we have obtained the new exact solutions of both (2+1) dimensional time fractional derivative, (3+1) dimensional time fractional derivative and (4+1) dimensional time fractional derivative BLMP equations.