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Forced and Unforced Flexural-gravity Solitary Waves

机译:强迫和非强迫挠曲孤波

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Flexural-gravity waves beneath an ice sheet are investigated. Forced waves generated by a moving load as well as freely propagating solitary waves are considered for the nonlinear problem as proposed by Plotnikov and Toland21. In the unforced case, a Hamiltonian reformulation of the governing equations is presented in three dimensions. A weakly nonlinear analysis is performed to derive a cubic nonlinear Schr?dinger equation near the minimum phase velocity in two dimensions. Both steady and time-dependent fully nonlinear computations are presented in the two-dimensional case, and the influence of finite depth is also discussed.
机译:研究了冰盖下方的弯曲重力波。对于由Plotnikov和Toland21提出的非线性问题,考虑了由移动载荷产生的强迫波以及自由传播的孤立波。在非受力情况下,控制方程的哈密顿量公式化在三个维度上给出。执行弱非线性分析以在二维的最小相速度附近导出立方非线性薛定nonlinear方程。在二维情况下,给出了稳态和时间相关的完全非线性计算,并讨论了有限深度的影响。

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