SEMICLASSICAL LIMIT OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION-Reference-Cited by-同舟云学术

SEMICLASSICAL LIMIT OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION

Published:2000-03 Issue:02 Volume:10 Page:261-285
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

DESJARDINS BENOÎT¹,LIN CHI-KUN²,TSO TAI-CHENG³

Affiliation:

1. Départment de Mathématiques et d'Informatique, Ecole Normale Supérieure, 45 rue d'Ulm, 75005 Paris , France

2. Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan, China

3. Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 801, Taiwan, China

Abstract

We study the semiclassical limit of the general derivative nonlinear Schrödinger equation for initial data with Sobolev regularity, before shocks appear in the limit system. The strict hyperbolicity and genuine nonlinearity is proved for the dispersion limit of the derivative nonlinear Schrödinger equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202500000161

Reference17 articles.

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4. Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

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