The analysis of conservation laws, symmetries and solitary wave solutions of Burgers-Fisher equation

Akbulut A., Kaplan M., Kumar D., TAŞCAN F.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, cilt.35, sa.22, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 22
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0217979221502246
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Partial differential equations, conservation laws, conservation theorem, partial Noether approach, the extended sinh-Gordon expansion method, Burgers-Fisher equation, MULTIWAVE
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

In this paper, the conservation laws, significant symmetries' application, and traveling wave solutions are obtained for Burger-Fisher equation (BFE). Conservation laws have a great importance for partial and fractional differential equations and their solutions, especially in physics implementations. The conservation theorem and partial Noether approach are implemented for conservation laws for this equation, and the extended sinh-Gordon expansion method (esGEM) is presented for new solitary wave solutions. All obtained conservation laws are trivial conservation laws. The new and comprehensive solitary wave solutions of the equation by the esGEM are also obtained.