Conservation laws and Exact Solutions of Phi-Four (Phi-4) Equation via the (G '/G, 1/G)-Expansion Method

Akbulut A., Kaplan M., TAŞCAN F.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, cilt.71, sa.5, ss.439-446, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/zna-2016-0010
  • Dergi Adı: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.439-446
  • Anahtar Kelimeler: Conservation Law, Exact Solution, (G'/G, 1/G)-Expansion Method, Phi-4 Equation, TRAVELING-WAVE SOLUTIONS, MATHEMATICAL PHYSICS, SYMMETRIES
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

In this article, we constructed formal Lagrangian of Phi-4 equation, and then via this formal Lagrangian, we found adjoint equation. We investigated if the Lie point symmetries of the equation satisfy invariance condition or not. Then we used conservation theorem to find conservation laws of Phi-4 equation. Finally, the exact solutions of the equation were obtained through the (G'/G, 1/G)-expansion method.