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On the Semiclassical Limit of the General Modified NLS Equation

✍ Scribed by Benoı̂t Desjardins; Chi-Kun Lin

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
164 KB
Volume
260
Category
Article
ISSN
0022-247X

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✦ Synopsis

We study the semiclassical limit of the so-called general modified nonlinear Schrodinger equation for initial data with Sobolev regularity, before shocks appear ïn 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. ᮊ 2001 Academic Press q will study the behavior of solutions of the problem 1 ᎐ 2 as ប ª 0 and

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