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- W2964116990 abstract "We present a numerical study of solutions to thegeneralized Kadomtsev-Petviashvili equations with critical andsupercritical nonlinearity for localized initial data with asingle minimum and single maximum. In the cases with blow-up, we use adynamic rescaling to identify the type of the singularity. We presentthe first discussion of the observed blow-up scenarios. We show that theblow-up in solutions to the $L_{2}$ critical generalized Kadomtsev-Petviashvili Icase is similar to what is known for the $L_{2}$ critical generalizedKorteweg-de Vries equation. No blow-up is observed for solutions tothe generalized Kadomtsev-Petviashvili II equations for $nleq2$." @default.
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- W2964116990 date "2014-01-01" @default.
- W2964116990 modified "2023-09-27" @default.
- W2964116990 title "Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations" @default.
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- W2964116990 doi "https://doi.org/10.3934/dcdsb.2014.19.1689" @default.
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