New exact solutions of Burgers’ type equations with conformable derivative

Çenesiz Y., Baleanu D., Kurt A., TAŞBOZAN O.

Waves in Random and Complex Media, vol.27, no.1, pp.103-116, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1080/17455030.2016.1205237
  • Journal Name: Waves in Random and Complex Media
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.103-116
  • Keywords: Burgers–Korteweg–de Vries equation, Burgers’ equation, conformable derivative, First integral method, modified Burgers equation
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers’ equation, modified Burgers’ equation, and Burgers–Korteweg–de Vries equation. We report that this method is efficient and it can be successfully used to obtain new analytical solutions of nonlinear FDEs.