Summation of the witting series in the solitary-wave problem
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Some exact solutions of the Euler equations with a free surface in the presence of gravitation forces are found. They are obtained by summing Witting series applied in the theory of solitary waves. It is shown that in some cases, the left-hand half of the constructed flows is close to the left-hand half of the solitary waves.
KeywordsFree Surface Solitary Wave Gravitational Wave Conformal Mapping Discrete Fourier Transform
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- 6.E. A. Karabut, “Theory of maximum-amplitude gravitational waves,”Vychisl. Tekhnol.,4, No. 11, 127–143 (1995).Google Scholar