期刊
WAVE MOTION
卷 46, 期 6, 页码 403-411出版社
ELSEVIER
DOI: 10.1016/j.wavemoti.2009.06.007
关键词
Korteweg-de Vries; Periodic; Steady; Renormalisation principle; Fluid flow
The Korteweg-de Vries equation can be derived in the hydrodynamical setting as an approximation to the full governing equations. The periodic solutions of the equation are expressed in terms of the Jacobian elliptic functions, and they describe a steady periodic surface wave profile. However, at the level of approximation which generates the Korteweg-de Vries equation, the velocity potential does not provide a suitable description of the flow. We propose a remedy for this situation by constructing a velocity potential which is compatible with the Korteweg-de Vries regime and describes a nontrivial fluid flow. We discuss some qualitative aspects of the flow. (C) 2009 Elsevier B. V. All rights reserved.
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