Published in
Elsevier, Physics Letters A, 1-2(221), p. 73-79
DOI: 10.1016/0375-9601(96)00417-3
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Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)
Journal article published in 1996 by
A. I. Dyachenko,
E. A. Kuznetsov,
M. D. Spector,
V. E. Zakharov 
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Abstract
Using the combination of the canonical formalism for free-surface hydrodynamics and conformal mapping to the half-plane we obtain a simple system of pseudo-differential equations for the surface shape and hydrodynamic potential. The system is well-adjusted for a numerical simulation. Some typical results of such a simulation are presented.