New Analytical Solutions for Time Fractional Benjamin-Ono Equation Arising Internal Waves in Deep Water

TAŞBOZAN O.

China Ocean Engineering, cilt.33, sa.5, ss.593-600, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s13344-019-0057-x
  • Dergi Adı: China Ocean Engineering
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.593-600
  • Anahtar Kelimeler: Benjamin-Ono equation, conformable fractional derivative, Jacobi elliptic function expansion method
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In this article, the author sets up the abundant traveling wave solutions for time fractional Benjamin-Ono equation which was introduced to describe internal waves in stratified fluids by using Jacobi elliptic function expansion method. The traveling wave solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. It can be seen that the obtained results are found to be important for the statement of some physical demonstrations of problems in mathematical physics and ocean engineering. In ocean engineering Benjamin-Ono equations are generally used in computer simulation for the water waves in deep water and open seas.