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
收藏
页码：5162 / 5173
页数：12
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