Semiclassical limit of the derivative nonlinear Schrödinger equation

Benoît Desjardins; Chi Kun Lin; Tai Cheng Tso

doi:10.1142/S0218202500000161

Semiclassical limit of the derivative nonlinear Schrödinger equation

Benoît Desjardins^*, Chi Kun Lin, Tai Cheng Tso

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

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.

Original language	English
Pages (from-to)	261-285
Number of pages	25
Journal	Mathematical Models and Methods in Applied Sciences
Volume	10
Issue number	2
DOIs	https://doi.org/10.1142/S0218202500000161
Publication status	Published - Mar 2000
Externally published	Yes

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Desjardins, B., Lin, C. K., & Tso, T. C. (2000). Semiclassical limit of the derivative nonlinear Schrödinger equation. Mathematical Models and Methods in Applied Sciences, 10(2), 261-285. https://doi.org/10.1142/S0218202500000161

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title = "Semiclassical limit of the derivative nonlinear Schr{\"o}dinger equation",

abstract = "We study the semiclassical limit of the general derivative nonlinear Schr{\"o}dinger 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 Schr{\"o}dinger equation.",

author = "Beno{\^i}t Desjardins and Lin, {Chi Kun} and Tso, {Tai Cheng}",

year = "2000",

month = mar,

doi = "10.1142/S0218202500000161",

language = "English",

volume = "10",

pages = "261--285",

journal = "Mathematical Models and Methods in Applied Sciences",

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T1 - Semiclassical limit of the derivative nonlinear Schrödinger equation

AU - Desjardins, Benoît

AU - Lin, Chi Kun

AU - Tso, Tai Cheng

PY - 2000/3

Y1 - 2000/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034380197&partnerID=8YFLogxK

U2 - 10.1142/S0218202500000161

DO - 10.1142/S0218202500000161

M3 - Article

AN - SCOPUS:0034380197

SN - 0218-2025

VL - 10

SP - 261

EP - 285

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 2

ER -

Semiclassical limit of the derivative nonlinear Schrödinger equation

Abstract

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