Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations
Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations
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广义 Kadomtsev-Petviashvili 方程解中爆炸的数值研究
DOI：
10.3934/dcdsb.2014.19.1689
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
R. Peter
中科院分区：
文献类型：
--
作者：
C. Klein;R. Peter
本文研究了一类具有临界和超临界非线性的广义Kadomtsev-Petviashvili方程的局部化初始数据的单极小值和单极大值的解。在爆炸的情况下，我们使用动态缩放来识别奇点的类型。我们对观察到的爆炸情景进行了讨论。
We present a numerical study of solutions to the generalized Kadomtsev-Petviashvili equations with critical and supercritical nonlinearity for localized initial data with a single minimum and single maximum. In the cases with blow-up, we use a dynamic rescaling to identify the type of the singularity. We present a discussion of the observed blow-up scenarios.