Conservation laws for two dimensional nonlinear Schrödinger equation

The nonlinear Schrödinger equation is a well-known partial differential equation, which provides a successful model in nonlinear optic theory, as well as other applications. The conservation law plays an important role in the study of nonlinear evolutionary equations. In this paper, we construct infinitely many conservation laws for the two-dimensional nonlinear Schrödinger equation with the Lax pair.