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

作　　者：F.Hamidouche Y.Mammeri S.M.Mefire 

机构地区：[1]Laboratoire de Mathematiques,CNRS UMR 8628,Universite Paris-Sud 11,91405 Orsay Cedex,France [2]Laboratoire de Mathematiques–Paul Painleve,CNRS UMR 8524,Universite des Sciences et Technologies de Lille,59655 Villeneuve d’Ascq Cedex,France [3]Laboratoire Amienois de Mathematique Fondamentale et Appliquee,CNRS UMR 6140,Universite de Picardie,33 r.Saint-Leu,80039 Amiens Cedex 1,France

出　　处：《Communications in Computational Physics》2009年第10期1022-1062,共41页计算物理通讯（英文）

基　　金：This work was partly funded by the ITRANSFLU project of the Regional Council of Picardie in France.

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 blowup in finite time,the solitonic behavior and the transverse instabilities are numerically inspected.

关 键 词：3D-KP equations spectral method predictor-corrector method DISPERSION BLOW-UP SOLITON transverse instability 

分 类 号：O17[理学—数学]