Symmetric Fibonacci Function Solutions of some Nonlinear Partial Differential Equations

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Pandir Y.

APPLIED MATHEMATICS & INFORMATION SCIENCES, vol.8, no.5, pp.2237-2241, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 5
  • Publication Date: 2014
  • Doi Number: 10.12785/amis/080518
  • Journal Name: APPLIED MATHEMATICS & INFORMATION SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2237-2241
  • Keywords: heat conduction equation, K(m,n) equation, Kudryashov's method, symmetric Fibonacci functions, exact solutions, 1-SOLITON SOLUTION, EVOLUTION
  • Yozgat Bozok University Affiliated: Yes

Abstract

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.