Steady dark solitary flexural gravity waves
Steady dark solitary flexural gravity waves
复制标题
稳定暗孤立弯曲重力波
DOI：
10.1098/rspa.2012.0485
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Milewski P
中科院分区：
文献类型：
--
作者：
Milewski P
非线性Schrödinger （NLS）方程描述了许多表面水波问题的调制极限。NLS方程的暗孤立波在远场渐近线为常数，在原点处振幅局部减小至零，对应于水波解在远场渐近线为均匀周期性斯托克斯波，在原点附近振荡减小。人们很自然地要问，这些暗孤立波能否在无旋转欧拉方程中找到。在本文中，我们在弯曲重力波的背景下找到了这样的解，弯曲重力波通常被用作冰覆盖水中波浪的模型。在这种情况下，NLS方程可以预测稳定行进的暗孤子。暗孤子的解分支是连续的，其中一个分支导致在大振幅下的完全局域解。
The nonlinear Schrödinger (NLS) equation describes the modulational limit of many surface water wave problems. Dark solitary waves of the NLS equation asymptote to a constant in the far field and have a localized decrease to zero amplitude at the origin, corresponding to water wave solutions that asymptote to a uniform periodic Stokes wave in the far field and decreasing oscillations near the origin. It is natural to ask whether these dark solitary waves can be found in the irrotational Euler equations. In this paper, we find such solutions in the context of flexural-gravity waves, which are often used as a model for waves in ice-covered water. This is a situation in which the NLS equation predictssteadilytravelling dark solitons. The solution branches of dark solitons are continued, and one branch leads to fully localized solutions at large amplitudes.
影响因子：
3.7
作者：
Milewski, Paul A.;Vanden-Broeck, J-M.;Wang, Zhan
通讯作者：
Wang, Zhan