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


TAŞBOZAN O.

China Ocean Engineering, vol.33, no.5, pp.593-600, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.1007/s13344-019-0057-x
  • Journal Name: China Ocean Engineering
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.593-600
  • Keywords: Benjamin-Ono equation, conformable fractional derivative, Jacobi elliptic function expansion method
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

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.