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, cilt.7, sa.4, ss.377-382, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.joes.2021.09.010
  • Dergi Adı: JOURNAL OF OCEAN ENGINEERING AND SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.377-382
  • Anahtar Kelimeler: Conservation laws, Exact solutions, Symbolic computation, Modified simple equation method, TRAVELING-WAVE SOLUTIONS, MATHEMATICAL PHYSICS, SOLITON
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The 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. (c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )