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| SEMICLASSICAL LIMIT TO THE GENERALIZED NONLINEAR SCHR\"{O}DINGER EQUATION |
| Boling Guo,Guoquan Qin |
| (Institute of Applied Physics and Computational Math., China Academy of Engineering Physics, Beijing 100088, PR China;Graduate School of China Academy of Engineering Physics, Beijing 100088, PR China) |
| DOI： |
| Abstract: |
| In this paper, we investigate the semiclassical limit of the generalized nonlinear Schr\"{o}dinger 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 Schr\"{o}dinger equation. |
| Key words: quantum hydrodynamics; dispersive limit; compressible Euler equation |