Numerical study of the regularizing effect of the 3D weakly transverse BBM equations for long times

被引：0

作者：

Mammeri, Y. ^{[1
]}

机构：

[1] Univ Picardie Jules Verne, CNRS UMR 7352, Lab Amienois Math Fondamentale & Appl, F-80039 Amiens, France

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 10期

关键词：

3D-KP equations; BBM equation; Spectral method; Predictor-corrector scheme; Dispersion; Solitonic behavior; Transverse instability; SOLITARY-WAVE SOLUTIONS; KADOMTSEV-PETVIASHVILI EQUATION; NONLINEAR INSTABILITY; KP; STABILITY; EXISTENCE;

D O I：

10.1016/j.amc.2012.10.112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 regularized using the BBM trick. The solution no longer blows up and the solitonic behavior is observed. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：5162 / 5173

页数：12

共 31 条

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