Numerical study of blow-up and stability of line solitons for the Novikov–Veselov equation
Numerical study of blow-up and stability of line solitons for the Novikov–Veselov equation
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Novikov-Veselov 方程线孤子的爆炸和稳定性数值研究
DOI：
10.1088/1361-6544/aa6f29
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发表时间：
2016
期刊：
影响因子：
1.7
通讯作者：
C. Klein
中科院分区：
文献类型：
--
作者：
A. Kazeykina;C. Klein
我们用Novikov-Veselov （NV）方程数值研究了扰动Korteweg-de Vries孤子和良好定域初始数据在不同“能量”参数E水平上的演化。我们表明，当|E|→∞时，NV的行为与预期的一样，类似于它的形式极限Kadomtsev-Petviashvili方程。然而，在中间状态，即当b| E|不是很大时，可能出现更多不同的情况，特别是观察到爆炸。对爆炸机理进行了研究。
We study numerically the evolution of perturbed Korteweg–de Vries solitons and of well localized initial data by the Novikov–Veselov (NV) equation at different levels of the ‘energy’ parameter E. We show that as |E|→∞, NV behaves, as expected, similarly to its formal limit, the Kadomtsev–Petviashvili equation. However at intermediate regimes, i.e. when |E| is not very large, more varied scenarios are possible, in particular, blow-ups are observed. The mechanism of the blow-up is studied.