TY - JOUR T1 - Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times JO - Communications in Computational Physics VL - 5 SP - 1022 EP - 1062 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7716.html KW - AB -

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.