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The nonlinear evolution equation on the shallow water wave

✍ Scribed by Yijun Hou; Shunli Lou; Qiang Xie; Liangui Yang

Publisher
Springer
Year
1998
Tongue
English
Weight
361 KB
Volume
43
Category
Article
ISSN
1001-6538

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## Abstract The system of nonlinear shallow‐water equations (SWEs) is a hyperbolic system serving as a primary test problem for numerical methods used in modelling global atmospheric flows. In this article, the SWEs on a rotating sphere are solved on the Yin‐Yang grid by using a domain decompositio

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The integrable third-order Korteweg-de Vries (KdV) equation emerges uniquely at linear order in the asymptotic expansion for unidirectional shallow water waves. However, at quadratic order, this asymptotic expansion produces an entire family of shallow water wave equations that are asymptotically eq