Journal Articles Applied Mathematics and Computation Year : 2013

Numerical study of the regularizing effect of the 3D weakly transverse BBM 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 regularized using the BBM trick. The solution no longer blows up and the solitonic behavior is observed.
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Dates and versions

hal-01090305 , version 1 (03-12-2014)

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Youcef Mammeri. Numerical study of the regularizing effect of the 3D weakly transverse BBM equations for long times. Applied Mathematics and Computation, 2013, 219, pp.5162 - 5173. ⟨10.1016/j.amc.2012.10.112⟩. ⟨hal-01090305⟩
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