Derivation of the Time Dependent Two Dimensional Focusing NLS Equation
نویسندگان
چکیده
منابع مشابه
Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation
The focusing cubic NLS is a canonical model for the propagation of laser beams. In dimensions 2 and 3, it is known that a large class of initial data leads to finite time blow-up. Now, physical experiments suggest that this blow-up does not always occur. This might be explained by the fact that some physical phenomena neglected by the standard NLS model become relevant at large intensities of t...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2018
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-018-2095-9