Symmetric Fibonacci Function Solutions of some Nonlinear Partial Differential Equations

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Pandir Y.

APPLIED MATHEMATICS & INFORMATION SCIENCES, cilt.8, sa.5, ss.2237-2241, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.12785/amis/080518
  • Dergi Adı: APPLIED MATHEMATICS & INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2237-2241
  • Anahtar Kelimeler: heat conduction equation, K(m,n) equation, Kudryashov's method, symmetric Fibonacci functions, exact solutions, 1-SOLITON SOLUTION, EVOLUTION
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

A new version of the Kudryashov's method for solving non-integrable problems in mathematical physics is presented in this paper. New exact solutions of the heat conduction equation and K(m,n) equation with generalized evolution are obtained by using this method. The solutions gained from the proposed method have been verified with obtained by the (G'/G)-expansion method.