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Asymptotic expansions in the problem of a solitary wave

Published online by Cambridge University Press:  26 April 2006

E. A. Karabut
E. A. Karabut
Affiliation:
Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia
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Abstract

There are a number of papers devoted to the construction of the exact solitary wave solution using a series. Power series in amplitude or Fourier series have usually been used. In the present paper we accomplish the exact summation of the Witting (1975) series and show that this series describes other flows, not solitary waves. One such flow is fluid suction under a curvilinear roof. The left half of it is similar to the left half of a maximal-amplitude solitary wave flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 319 , 25 July 1996 , pp. 109 - 123
Copyright
© 1996 Cambridge University Press

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