A HIGHLY ACCURATE BOUSSINESQ METHOD FOR FULLY NONLINEAR WAVES FROM SHALLOW TO DEEP WATER

机译：一种高度精确的BoussinesQ方法，用于从浅层到深水的完全非线性波

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A new method valid for highly dispersive and highly nonlinear water waves is presented. It combines a time-stepping of the exact surface boundary conditions with an approximate series expansion solution to the Laplace equation in the interior domain involving up to fifth-derivative operators. A numerical model is developed in a single horizontal dimension and it is used to study modulational instability in deep water.

机译：提出了一种对高度分散和高度非线性水波有效的新方法。它结合了具有近似串联膨胀解决方案的精确表面边界条件的时间级步骤，该解决方案涉及最多的第五衍生算子。在单个水平尺寸中开发了数值模型，它用于研究深水中的调制不稳定。

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《International symposium on ocean wave measurement and analysis》|2002年||共10页
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Per A. Madsen; Harry Bingham; Hua Liu;
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中图分类海洋动力学;
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专利

1. A new Boussinesq method for fully nonlinear waves from shallow to deep water [J] . Madsen PA., Bingham HB., Liu H. Journal of Fluid Mechanics . 2002,第0期

机译：一种从浅水到深水的完全非线性波的Boussinesq新方法
2. Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves [J] . Kumar Sunil, Kumar Amit, Baleanu Dumitru Nonlinear dynamics . 2016,第2期

机译：在浅水波传播中出现了两种时分非线性耦合的Boussinesq-Burger方程的解析方法
3. EXTENSION OF THE BOUSSINESQ EQUATIONS TO INCLUDE WAVE PROPAGATION IN DEEPER WATER AND WAVE-SHIP INTERACTION IN SHALLOW WATER [J] . Ole R. Sorensen, Per A. Madsen Proceedings of the International Conference on Coastal Engineering . 1990,第22期

机译：BOUSSINESQ方程的扩展，包括深水中的波传播和浅水中的波船相互作用
4. A HIGHLY ACCURATE BOUSSINESQ METHOD FOR FULLY NONLINEAR WAVES FROM SHALLOW TO DEEP WATER [C] . Per A. Madsen, Harry Bingham, Hua Liu Ocean Wave Measurement and Analysis . 2002

机译：从浅水到深水的完全非线性波的高精度Boussinesq方法
5. The study of wave-blocking and current effects on nonlinear interactions of shallow-water waves using advanced Boussinesq models. [D] . Chen, Qin. 1997

机译：使用高级Boussinesq模型研究波阻和电流对浅水波非线性相互作用的影响。
6. On shallow water waves in a medium with time-dependent dispersion and nonlinearity coefficients [O] . Hamdy I. Abdel-Gawad, Mohamed Osman 2015

机译：时变和非线性系数随时间变化的介质中的浅水波
7. Novel solitary wave solution in shallow water and ion acoustic plasma waves in-terms of two nonlinear models via MSE method [O] . Harun-Or Roshid 2017

机译：基于msE方法的两种非线性模型中浅水和离子声等离子体波的新孤波解
8. Fully Nonlinear Boussinesq Model for Surface Waves. Part 1. Highly NonlinearUnsteady Waves [R] . Wei, G., Kirby, J. T., Grill, S. T., 1995

机译：面波的完全非线性Boussinesq模型。第1部分。高度非线性不稳定波

A HIGHLY ACCURATE BOUSSINESQ METHOD FOR FULLY NONLINEAR WAVES FROM SHALLOW TO DEEP WATER

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