On the semiclassical limit of the general modified NLS equation

Authors
Desjardins, B Lin, CK
Citation
B. Desjardins et Ck. Lin, On the semiclassical limit of the general modified NLS equation, J MATH ANAL, 260(2), 2001, pp. 546-571
Citations number
30
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
260
Issue
2
Year of publication
2001
Pages
546 - 571
Database
ISI
SICI code
0022-247X(20010805)260:2<546:OTSLOT>2.0.ZU;2-5
Abstract
We study the semiclassical limit of the so-called general modified nonlinea r Schrodinger equation for initial data with Sobolev regularity, before sho cks appear in the limit system. The strict hyperbolicity and genuine nonlin earity are proved for the, dispersion limit of the cubic nonlinear case. Th e limiting transition from the MNLS equation to the NT-S equation is also d iscussed. (C) 2001 Academic Press.