A NUMERICAL APPROACH TO BLOW-UP ISSUES FOR DAVEY-STEWARTSON II SYSTEMS

被引：9
|
作者：
Klein, Christian [1 ]
Saut, Jean-Claude [2 ,3 ]
机构：
[1] Univ Bourgogne, UMR 5584, Inst Math Bourgogne, F-21078 Dijon, France
[2] Univ Paris 11, Lab Math, UMR 8628, F-91405 Orsay, France
[3] CNRS, F-91405 Orsay, France
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2015年 / 14卷 / 04期
关键词：
Davey-Stewartson equations; blow-up; long time behavior numerical approaches; INVERSE SCATTERING TRANSFORM; TRANSVERSE NONLINEAR INSTABILITY; STANDING WAVES; LOCAL EXISTENCE; TIME; PACKETS; EQUATIONS; NLS;
D O I：
10.3934/cpaa.2015.14.1443
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a numerical study of various issues pertaining to the dynamics of the Davey-Stewartson II systems. In particular we investigate whether or not the properties (blow-up, radiation, ...) displayed by the focusing and defocusing Davey-Stewartson II integrable systems persist in the non integrable cases.
引用
收藏
页码：1443 / 1467
页数：25
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