New conservation laws and exact solutions of the special case of the fifth-order KdV equation

Akbulut A., Kaplan M., Kaabar M. K.

Journal of Ocean Engineering and Science, vol.7, no.4, pp.377-382, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.1016/j.joes.2021.09.010
  • Journal Name: Journal of Ocean Engineering and Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.377-382
  • Keywords: Conservation laws, Exact solutions, Symbolic computation, Modified simple equation method, TRAVELING-WAVE SOLUTIONS, MATHEMATICAL PHYSICS, SOLITON
  • Eskisehir Osmangazi University Affiliated: Yes


© 2021The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation theorem are trivial conservation laws. In addition, exact solutions are found via the modified simple equation (MSE) method. For a suitable value of solutions, the 3D surfaces have been plotted using MAPLE. These plots giving novel exact solutions are made to reveal important wave characteristics. Our obtained results in this work concerning our investigated equation are essential to explain many physical and oceanographic applications involving ocean gravity waves and many other related phenomena.