# Complex singularity of a stokes wave

@article{Dyachenko2013ComplexSO,
title={Complex singularity of a stokes wave},
author={Sergey A. Dyachenko and Pavel M. Lushnikov and A. O. Korotkevich},
journal={JETP Letters},
year={2013},
volume={98},
pages={675-679}
}
• Published 8 November 2013
• Mathematics
• JETP Letters
Two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth can be described by a conformal map of the fluid domain into the complex lower half-plane. Stokes wave is the fully nonlinear gravity wave propagating with the constant velocity. The increase in the scaled wave height H/λ from the linear limit H/λ = 0 to the critical value Hmax/λ marks the transition from the limit of almost linear wave to a strongly nonlinear limiting Stokes wave. Here, H is…

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