Water waves and integrability
Water waves and integrability
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DOI：
10.1098/rsta.2007.2007
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发表时间：
2007-07
期刊：
影响因子：
--
通讯作者：
R. Ivanov
中科院分区：
文献类型：
--
作者：
R. Ivanov
欧拉方程描述了无粘流体的运动。在浅水情况下，当考虑欧拉方程的摄动渐近展开式(尺度参数的某个小阶数)时，就会出现与某些可积方程的关系。本文综述了用可积方程模拟浅水波浪运动的一些最新结果。
Euler's equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymptotic expansion of Euler's equations is considered (to a certain order of smallness of the scale parameters), relations to certain integrable equations emerge. Some recent results concerning the use of integrable equation in modelling the motion of shallow water waves are reviewed in this contribution.