Numerical study of the regularizing effect of the 3D weakly transverse BBM equations for long times

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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 regularized using the BBM trick. The solution no longer blows up and the solitonic behavior is observed.

论文关键词:3D-KP equations,BBM equation,Spectral method,Predictor–corrector scheme,Dispersion,Solitonic behavior,Transverse instability

论文评审过程:Available online 20 December 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.10.112