Solutions of the nonlinear differential equations by use of modified Kudryashov method

Abstract

Studies based on the non-linear physical problems have become very important in recent years. These problems are solved by using different mathematical approaches. In particular, the soliton solutions, compacton solutions, peakon solutions and other solutions have been found for such physical problems. Using a powerful method that is proposed to obtain exact solutions of nonlinear partial differential equations, we obtain some new solutions such as symmetric hyperbolic Fibonacci sin, cosine and tangent functions. Also, some basic properties of symmetric Fibonacci and Lucas functions are given in this research.