Summation of the Witting series in the solitary wave problem
type: Item
instance of: scholarly article
title: Summation of the Witting series in the solitary wave problem
zbMATH Open document ID: 0861.76009
DOI: 10.1007/BF02110150
author: E. A. Karabut
published in: Siberian Mathematical Journal
publication date: 1997-05-12T00:00:00Z
review text: A series \(\sum E_j \exp (jz)\), \(\text{Im} E_j =0\), of the complex variable \(z\) is analyzed for constructing a solitary wave for a two-dimensional vortex-free stationary flow of an ideal incompressible heavy fluid over a flat bottom. Summation of the series is reduced to solution of a system of ordinary differential equations. It is shown that the solutions do not describe solitary waves but they are very close to them.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76B25
zbMATH DE Number: 923501
zbMATH Keywords: heavy fluid over flat bottom
zbMATH Keywords: complex variable
zbMATH Keywords: system of ordinary differential equations
reviewed by: V. V. Shelukhin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 923501