This article is cited in 5 papers

Summation of the Witting series in the solitary-wave problem

E. A. Karabut

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090

Abstract: 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.

UDC: 532.59

Received: 21.04.1997

 English version: Journal of Applied Mechanics and Technical Physics, 1999, 40:1, 36–45

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