TY - JOUR
T1 - On the semiclassical limit of the general modified NLS equation
AU - Desjardins, Benoît
AU - Lin, Chi Kun
N1 - Funding Information:
The authors thank Professors O. K. Pashaev and Jyh-Hao Lee for useful discussions. Chi-Kun Lin gratefully acknowledges the support from the National Science Council of Taiwan under Grant NSC 36195F. He thanks Professor Peter Markowich for his invitation and the Schrödinger institute in Vienna, Austria, for their hospitality and support during his visits there.
PY - 2001/8/15
Y1 - 2001/8/15
N2 - We study the semiclassical limit of the so-called general modified nonlinear Schrödinger equation for initial data with Sobolev regularity, before shocks appear in the limit system. The strict hyperbolicity and genuine nonlinearity are proved for the dispersion limit of the cubic nonlinear case. The limiting transition from the MNLS equation to the NLS equation is also discussed.
AB - We study the semiclassical limit of the so-called general modified nonlinear Schrödinger equation for initial data with Sobolev regularity, before shocks appear in the limit system. The strict hyperbolicity and genuine nonlinearity are proved for the dispersion limit of the cubic nonlinear case. The limiting transition from the MNLS equation to the NLS equation is also discussed.
UR - http://www.scopus.com/inward/record.url?scp=0035882847&partnerID=8YFLogxK
U2 - 10.1006/jmaa.2001.7482
DO - 10.1006/jmaa.2001.7482
M3 - Article
AN - SCOPUS:0035882847
SN - 0022-247X
VL - 260
SP - 546
EP - 571
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -