N-soliton solutions and double Wronskian solution of the non-isospectral AKNS equation

The bilinear equation of the non-isospectral AKNS equation is derived. The N-soliton solutions and the double Wronskian solution are obtained through the Hirota method and the Wronskian technique, respectively. A non-isospectral Schrödinger equation and its multi-soliton solutions are given by reducing.