Derivation of Boussinesq's shoaling law using a coupled BBM system

Kalisch H.; Senthilkumar A.

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Derivation of Boussinesq's shoaling law using a coupled BBM system

机译：使用耦合BBM系统推导Boussinesq的浅滩定律

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This paper is focused on finding rules for waveheight change in a solitary wave as it runs up a slowly increasing bottom. A coupled BBM system is used to describe the solitary waves. Expressions for energy density and energy flux associated with the BBM system are derived, and the principle of energy conservation is used to develop an equation relating the waveheight and undisturbed depth to the initial undisturbed depth and the incident waveheight. In the limit of zero waveheight, Boussinesq's shoaling law is recovered.

机译：本文的重点是寻找孤波在缓慢上升的底部运行时波高变化的规则。耦合BBM系统用于描述孤立波。推导了与BBM系统相关的能量密度和能量通量的表达式，并利用能量守恒原理建立了一个将波高和未扰动深度与初始未扰动深度和入射波高相关的方程。在零波高的极限下，Boussinesq的浅滩定律得以恢复。

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《Nonlinear processes in geophysics》 |2013年第2期|共7页
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Kalisch H.; Senthilkumar A.;
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中图分类地球物理学;
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1. Derivation of Boussinesq's shoaling law using a coupled BBM system [J] . Kalisch H., Senthilkumar A. Nonlinear processes in geophysics . 2013,第2期

机译：使用耦合BBM系统推导Boussinesq的浅滩定律
2. Derivation of Boussinesq's shoaling law using a coupled BBM system [J] . Kalisch H., Senthilkumar A. Nonlinear Processes in Geophysics Discussions . 2013,第2期

机译：使用耦合BBM系统推导Boussinesq的浅滩定律
3. Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System [J] . Buli Joshua, Xing Yulong Journal of Scientific Computing . 2018,第1期

机译：Boussinesq耦合BBM系统的局部不连续Galerkin方法
4. Solutions and Conservation Laws for a Kaup-Boussinesq System [C] . Tanki Motsepa, Mufid Abudiab, Chaudry Masood Khalique International Conference of Numerical Analysis and Applied Mathematics . 2017

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5. Consequences of separation for unmarried couples a comparative study of the legal developments under the civil law and the common law systems in Canada. [D] . Cano, Marlegrave 1986

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7. Derivation of Boussinesq's shoaling law using a coupled BBM system [O] . H. Kalisch, A. Senthilkumar 2013

机译：使用耦合BBM系统推导Boussinesq的浅滩定律
8. Geography and the Properties of Surfaces. Spatial Order in Fluvial Systems: Horton'S Laws Derived from Mixed Hexagonal Hierarchies of Drainage Basin Areas [R] . Woldenberg, M. J. 1968

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Derivation of Boussinesq's shoaling law using a coupled BBM system

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