Exact solutions of nonlinear evolution equations using the extended modified Exp(-Omega(xi)) function method

KARAAĞAÇ B., Kutluay S., Yagmurlu N. M., ESEN A.

TBILISI MATHEMATICAL JOURNAL, cilt.12, sa.3, ss.109-119, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.32513/tbilisi/1569463237
  • Dergi Adı: TBILISI MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.109-119
  • Anahtar Kelimeler: extended modified Exp(-Omega(xi)) function method, Burger-Fisher equation, Phi-four equation, exact solutions, TRAVELING-WAVE SOLUTIONS, EXP-FUNCTION METHOD, OPTICAL SOLITONS, SOLITARY WAVE, (G'/G)-EXPANSION METHOD, BURGERS, FISHER
  • İnönü Üniversitesi Adresli: Evet

Özet

Obtaining exact solutions of the evolution equation is one of the very important subjects in mathematics, science and technology. For this purpose, many different methods have been constructed and developed. In this article, a new technique which is called extended modified Exp(-Omega(xi)) function method is going to be studied for seeking new exact solutions of Burger-Fisher equation and Phi Four equation. The method is capable of deriving many number of solutions. With the aid of the method, various exact solutions including trigonometric, hyperbolic and rational solutions have been obtained and using a software the graphical representation of the solutions have been presented. In conclusion, we can say that the present method can also be used for the solutions of a wide range of problems.