Low regularity justification results for envelope approximations of nonlinear wave packets in periodic media

被引：0
|
作者：
Matthies, Karsten [1 ]
Uecker, Hannes [2 ]
机构：
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
[2] Carl von Ossietzky Univ Oldenburg, Inst Math, D-26111 Oldenburg, Germany
来源：
ASYMPTOTIC ANALYSIS | 2016年 / 99卷 / 1-2期
关键词：
Klein-Gordon equation; nonlinear Schrodinger equation; justification; wave packet; highly oscillating periodic media; amplitude formalism; low regularity; MODULATING PULSE SOLUTIONS; EFFECTIVE-MASS THEOREMS; SCHRODINGER-EQUATION; HOMOGENIZATION; SYSTEMS; OPTICS;
D O I：
10.3233/ASY-161375
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a cubic nonlinear wave equation with highly oscillating cubic coefficient and wave packet initial data. Using a regularization step of the initial data, we give a low regularity justification of the Nonlinear Schrodinger equation as the envelope equation.
引用
收藏
页码：53 / 65
页数：13
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