Constructing of exact solutions to the nonlinear Schrödinger equation (NLSE) with power-law nonlinearity by the Weierstrass elliptic function method

In this paper, the Weierstrass elliptic function method is employed to solve the nonlinear Schrödinger's equation (NLSE) with power-law nonlinearity. Exact traveling wave solutions are obtained. The traveling wave solutions are expressed in terms of hyperbolic functions, the trigonometric functions. As a result, we obtained all the solutions in [28], and at the same time some new ones are also given as well as to integrable ones.