ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION

Kaplan M., SAN S., Bekir A.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, vol.8, no.1, pp.1-9, 2018 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.11918/2018.1
  • Journal Name: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-9
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In the present work, we dealt with exact solutions and conservation laws of the Benjamin-Ono equation. We obtained exact solutions of given equation via the exp(-Phi(xi)) method. The obtained solutions are included the hyperbolic functions, trigonometric functions and rational functions. By using the multiplier approach, the conservation laws of the mentioned equation was founded.