Singular 1-soliton and Periodic Solutions to the Nonlinear Fisher-Type Equation with Time-Dependent Coefficients

GÜNER Ö., Bekir A.

COMMUNICATIONS IN THEORETICAL PHYSICS, cilt.65, sa.4, ss.405-409, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1088/0253-6102/65/4/405
  • Dergi Adı: COMMUNICATIONS IN THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.405-409
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this article, we establish exact solutions for the variable-coefficient Fisher-type equation. The solutions are obtained by the modified sine-cosine method and ansatz method. The soliton and periodic solutions and topological as well as the singular 1-soliton solution are obtained with the aid of the ansatz method. These solutions are important for the explanation of some practical physical problems. The obtained results show that these methods provide a powerful mathematical tool for solving nonlinear equations with variable coefficients.