Trivial conservation laws and solitary wave solution of the fifth order Lax equation

Akbulut A., TAŞCAN F., Özel E.

Partial Differential Equations in Applied Mathematics, cilt.4, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.padiff.2021.100101
  • Dergi Adı: Partial Differential Equations in Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: Conservation law, Exact solution, Extended sinh–Gordon​ equation expansion method, Lax equation, Symbolic computation
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

© 2021 The AuthorsThe current study deals with the conservation laws and exact solutions of the Lax equation, which is a special case of the fifth-order KdV equation. The trivial conservation laws obtained by using conservation theorem. In addition, the exact solutions are found with the help of the extended sinh–Gordon expansion method (esGEM). For a suitable value of the solutions the 3D surfaces have been plotted by Maple.