Optical solitons of the KdV equation with power-law nonlinearity

This paper obtains solitons and elliptic F-function, elliptic E-function, elliptic 11-function solutions to the KdV equation with power-law nonlinearity. We consider and derive some new results using the so-called as the extended trial equation method. By means of this method, bright and dark optical solitons as well as the corresponding singular periodic solutions are obtained. This approach can also be applied to other nonlinear differential equations.