New conservation laws and exact solutions of coupled Burgers' equation


Akbulut A., Hashemi M. S. , Rezazadeh H.

WAVES IN RANDOM AND COMPLEX MEDIA, 2021 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1080/17455030.2021.1979691
  • Journal Name: WAVES IN RANDOM AND COMPLEX MEDIA
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Nonlinear partial differential equations, new conservation theorem, exact solutions, the improved F-expansion method, 02, 30 Jr, 02, 70 Wz, 05, 45 Yv, 94, 05 Fg, SOLITARY-WAVE SOLUTIONS, PARTIAL-DIFFERENTIAL-EQUATIONS, KLEIN-GORDON EQUATION, TANH-FUNCTION METHOD, SYMMETRIES, CONSTRUCTION, SOLITONS

Abstract

In this study, the methodology of new conservation theorem and improved F-expansion method are used. Given methods are applied to the coupled Burger' equation. Local and trivial conservation laws are obtained. The founded exact solutions are consist of hyperbolic, trigonometric and rational functions.