Numerical study of Davey-Stewartson I systems

被引：2
|
作者：
Frauendiener, Jorg [1 ]
Klein, Christian [2 ,3 ]
Muhammad, Umar [3 ]
Stoilov, Nikola [3 ]
机构：
[1] Univ Otago, Dept Math & Stat, Dunedin, New Zealand
[2] Inst Univ France, Inst Math Bourgogne, Dijon, France
[3] Univ Bourgogne Franche Comte, Inst Math Bourgogne, Dijon, France
来源：
STUDIES IN APPLIED MATHEMATICS | 2022年 / 149卷 / 01期
关键词：
blow-up; Davey-Stewartson equations; dromions; Fourier spectral method; INITIAL-VALUE PROBLEM; KORTEWEG-DE-VRIES; BLOW-UP; KADOMTSEV-PETVIASHVILI; TIME; EVOLUTION; DROMIONS; PACKETS; SIMULATION; EXISTENCE;
D O I：
10.1111/sapm.12491
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An efficient high precision hybrid numerical approach for integrable Davey-Stewartson (DS) I equations for trivial boundary conditions at infinity is presented for Schwartz class initial data. The code is used for a detailed numerical study of DS I solutions in this class. Localized stationary solutions are constructed and shown to be unstable against dispersion and blow-up. A finite-time blow-up of initial data in the Schwartz class of smooth rapidly decreasing functions is discussed.
引用
收藏
页码：76 / 94
页数：19
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