诺维科夫方程 H1$$ {H}^1 $$ 稳定周期峰子的不稳定性

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-08-31 DOI:10.1002/mma.10436

Gezi Chong, Ying Fu, Hao Wang

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引用次数: 0

摘要

诺维科夫方程的周期峰波已被证明是轨道稳定的。利用特征法，我们确定了诺维科夫方程的周期峰子在扰动下是线性不稳定的。此外，我们还证明了在诺维科夫方程的非线性演化过程中，上述周期峰子的微小初始扰动会在有限时间内导致炸裂现象。

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Instability of H1$$ {H}^1 $$‐stable periodic peakons for the Novikov equation

Periodic peaked waves of the Novikov equation have been proved to be ‐orbital stable. Utilizing the method of characteristics, we establish that the periodic peakons of the Novikov equation are linearly unstable under perturbations. Moreover, it is proved that the small initial perturbations of the above periodic peakons can lead to the blow‐up phenomenon in finite time in the nonlinear evolution of the Novikov equation.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464