General soliton solutions of an n-dimensional nonlinear Schrodinger equation

Applying the method of functions transformation, an n-dimensional nonlinear Schrodinger equation is changed into a sine-Gordon equation which depends only on one function xi . The general solution of the equations of xi leads to a general soliton solution of NLS. It contains some interesting specific solutions, such as the N multiple solitons, the propagational breathers and the quadric solitons. Their properties are simply discussed.