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Accurate simple approximation for the solitary waveApproximation simple et précise de l'onde solitaire
Authors:Didier Clamond  Dorian Fructus
Affiliation:Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway
Abstract:This Note investigates the effect of a renormalization technique on high-order shallow water approximations of gravity waves. The method is illustrated for the solitary surface wave. Applied to the solution of a generalized KdV equation, it is shown that the renormalization significantly increases the accuracy. To cite this article: D. Clamond, D. Fructus, C. R. Mecanique 331 (2003).
Keywords:Waves  Shallow water  Solitary wave  Renormalization  Ondes  Eau peu profonde  Onde solitaire  Renormalisation
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