  To obtain new types of exact travelling wave solutions to nonlinear partial
differential equations, a number of approximate methods are known in the
literature. In this study, we extend the class of auxiliary equations of
Fibonnacci&Lucas type equations. The proposed Fibonnacci&Lucas approximation
method produces many new solutions. Consequently, we introduce new exact
travelling wave solutions of some physical systems in terms of these new
solutions of the Fibonacci&Lucas type equation. In addition to using different
ansatz, we use determine different balancing principle to obtain optimal
solutions.
