A New Type of Generalized F-Expansion Method and its Application to Sine-Gordon Equation

In this article, a new type of generalized F-expansion method which is very distinct implementation is proposed. Combined and multiple Jacobi elliptic functions solutions are presented with this suggested method. Analytical solutions of sine-Gordon equation are found by using the new type of generalized F-expansion method. As a result, many new and more general function solutions are acquired such as single, combined and multiple nondegenerate Jacobi elliptic function solutions.