Experimental and numerical investigations of temporally and spatially periodic modulated wave trains
Experimental and numerical investigations of temporally and spatially periodic modulated wave trains
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DOI：
10.1063/1.5010431
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发表时间：
2018-03
影响因子：
4.6
通讯作者：
H. Houtani;T. Waseda;K. Tanizawa
中科院分区：
文献类型：
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作者：
H. Houtani;T. Waseda;K. Tanizawa
对陡峭非线性波的许多研究是通过时间周期和空间演化（TPSE）波列进行实验，并通过空间周期和时间演化（SPTE）波列进行数值研究。本研究表明，在最大波峰高度附近，TPSE 和 SPTE 调制波列的波形彼此相似。通过对非线性薛定谔方程(NLSE)的Akhmediev-breather解的研究表明，色散关系偏离了频率对波数的二次相关性而变为线性相关性。因此，TPSE 和 SPTE 呼吸器的波形一致。这一一致性的范围在最大波峰高度的一个波群的数量级内，并在长期演化过程中持续存在。这些发现远远超出了 NLSE 范围，可以应用于高度非线性和宽带的调制波列。这从数值 w 中得到证明...
A number of studies on steep nonlinear waves were conducted experimentally with the temporally periodic and spatially evolving (TPSE) wave trains and numerically with the spatially periodic and temporally evolving (SPTE) ones. The present study revealed that, in the vicinity of their maximum crest height, the wave profiles of TPSE and SPTE modulated wave trains resemble each other. From the investigation of the Akhmediev-breather solution of the nonlinear Schrodinger equation (NLSE), it is revealed that the dispersion relation deviated from the quadratic dependence of frequency on wavenumber and became linearly dependent instead. Accordingly, the wave profiles of TPSE and SPTE breathers agree. The range of this agreement is within the order of one wave group of the maximum crest height and persists during the long-term evolution. The findings extend well beyond the NLSE regime and can be applied to modulated wave trains that are highly nonlinear and broad-banded. This was demonstrated from the numerical w...