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Journal Articles Communications in Computational Physics Year : 2009

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

Abstract

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.
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Dates and versions

hal-01090387 , version 1 (03-12-2014)

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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⟩
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