SOLUTIONS OF THE NONLINEAR DIFFERENTIAL
EQUATIONS BY USE OF SYMMETRIC
FIBONACCI FUNCTIONS
Yusuf Pandir1, Yusuf Ali Tandogan2
1,2Department of Mathematics
Faculty of Arts and Science
Bozok University
Cemil Cicek Avenue 7th miles Erdogan Akdag Campus
Yozgat, 66100, TURKEY
Abstract. Based on Kudryashov's method and the Fibonacci or Lucas Riccati equation method, some new solutions of a non-integrable nonlinear partial differential equation are found. Also, some basic properties of symmetric Fibonacci and Lucas functions are given in this research. For more details, we refer the reader to [1]-[5].
AMS Subject classification: 35C08, 35Q51, 35Q53
Keywords and phrases: Kudryashov's method, variable coefficient of Korteweg-de Vries (KdV) equation, symmetric Fibonacci functions, exact solutions


Download full article from here (pdf format).

DOI: 10.12732/ijam.v26i3.13

Volume: 26
Issue: 3
Year: 2013