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

Farid Hamidouche (1) , Youcef Mammeri (2) , Séraphin Mefire (3)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 LPP - Laboratoire Paul Painlevé - UMR 8524
3 IECN - Institut Élie Cartan de Nancy

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.

Domaines: Mathématiques [math]

Farid Hamidouche, Youcef Mammeri, Séraphin Mefire. Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times. Communications in Computational Physics, 2009, 6 (5), pp.1022 - 1062. ⟨10.4208/cicp.2009.v6.p1022⟩. ⟨hal-01090387⟩