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}
}
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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