Explicit solitons in the parabolic law nonlinear negative-index materials

This paper deals with the existence of explicit ultra-short solitons in the negative-index materials with third-order dispersion and higher-order nonlinearities. Four integration algorithms, that are the improved modified extended tanh-function method, the extended trial equation method, the extended Jacobi elliptic function expansion method and the -expansion method, are employed to extract analytical traveling wave solutions. The presented results show that exact solitons can exist in this physical model.