Semiclassical Limit to the Generalized Nonlinear Schrödinger Equation

Abstract

In this paper, we investigate the semiclassical limit of the generalized nonlinear Schrödinger equation for initial data with Sobolev regularity. Also, we will analyze the structure of the fluid dynamical system with quantum effect corresponding to the semiclassical limit of the generalized nonlinear Schrödinger equation.