Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations.
Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations.
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DOI：
10.1103/physreve.88.012909
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发表时间：
2012-12
期刊：
影响因子：
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通讯作者：
A. Slunyaev;Efim Pelinovsky;A. Sergeeva;A. Chabchoub;Norbert Hoffmann;M. Onorato;N. Akhmediev
中科院分区：
文献类型：
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作者：
A. Slunyaev;Efim Pelinovsky;A. Sergeeva;A. Chabchoub;Norbert Hoffmann;M. Onorato;N. Akhmediev
在弱非线性和全非线性水动力方程的数值模拟中，对非线性Schrödinger方程（NLS）的异常波解（有理多呼吸体）进行了验证。只考虑从1到5的最低阶解。使用修正的NLS方程（也称为dythe方程）可以达到更高的波在空间中的传播精度。这种数值模拟使我们能够直接将模拟结果与Chabchoub等人最近的实验室测量结果进行比较。[j].科学通报，2012,(5)。为了达到更高的物理精度，我们采用了势欧拉方程的完全非线性模拟。这些模拟为我们提供了NLS方程在接近断裂条件下理性解的长时间演化的基本特征。发现解析NLS解较好地描述了陡波的实际波浪动力学。
The rogue wave solutions (rational multibreathers) of the nonlinear Schrödinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5 are considered. A higher accuracy of wave propagation in space is reached using the modified NLS equation, also known as the Dysthe equation. This numerical modeling allowed us to directly compare simulations with recent results of laboratory measurements in Chabchoub et al. [Phys. Rev. E 86, 056601 (2012)]. In order to achieve even higher physical accuracy, we employed fully nonlinear simulations of potential Euler equations. These simulations provided us with basic characteristics of long time evolution of rational solutions of the NLS equation in the case of near-breaking conditions. The analytic NLS solutions are found to describe the actual wave dynamics of steep waves reasonably well.