Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times

被引：2

作者：

Hamidouche, E. ^{[3
]}

Mammeri, Y. ^{[1
]}

Mefire, S. M. ^{[2
]}

机构：

[1] Univ Sci & Tech Lille Flandres Artois, CNRS, Lab Math Paul Painleve, UMR 8524, F-59655 Villeneuve Dascq, France

[2] Univ Picardie, Lab Amienois Math Fondamentale & Appl, CNRS, UMR 6140, F-80039 Amiens 1, France

[3] Univ Paris 11, CNRS, UMR 8628, Math Lab, F-91405 Orsay, France

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2009年 / 6卷 / 05期

关键词：

3D-KP equations; spectral method; predictor-corrector method; dispersion; blow-up; soliton; transverse instability; SOLITARY WAVES; INSTABILITY;

D O I：

10.4208/cicp.2009.v6.p1022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

From a spectral method combined with a predictor-corrector scheme, we numerically study the behavior in time of solutions of the three-dimensional generalized Kadomtsev-Petviashvili equations. In a systematic way, the dispersion, the blow-up in finite time, the solitonic behavior and the transverse instabilities are numerically inspected.

引用

页码：1022 / 1062

页数：41

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