The KP theory and Mach reflection
The KP theory and Mach reflection
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KP理论和马赫反射
DOI：
10.1017/jfm.2016.422
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发表时间：
2016
影响因子：
3.7
通讯作者：
H. Yeh
中科院分区：
文献类型：
--
作者：
Y. Kodama;H. Yeh
基于Kadomtsev-Petviashvili（KP）理论研究了二维浅水场中两线孤子的相互作用。利用规范形导出了具有高阶修正的广义KP方程。这种扩展的KP理论显着提高了原来的KP理论的预测孤子相互作用与有限斜角。以前在马赫反射问题中存在的实验和理论之间的不一致，现在用规范形理论解决了。
Interactions of two line solitons in the two-dimensional shallow-water field are studied based on the Kadomtsev–Petviashvili (KP) theory. With the use of the normal form, the extended KP equation with higher-order correction is derived. This extended KP theory improves significantly the predictability of the original KP theory for soliton interactions with finite oblique angles. The previously existing discrepancy between the experiments and the theory in the Mach reflection problem is now resolved by the normal form theory.