An application of the new function method to the generalized double sinh-Gordon equation

Santilli FoundationInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 -- 22 September 2014 through 28 September 2014 -- -- 111492This paper applies a new approach including the trial equation u?=f(cosh?(nu)) based on the hyperbolic function cosh in order to find new traveling wave solutions to the generalized sinh-Gordon equation. By the using of this method, we obtain a new elliptic integral function solution. Also, this solution can be converted into Jacobi elliptic function solution by a simple transformation. © 2015 AIP Publishing LLC