Transversally periodic solitary waves in deep water

cg-wavesThe paper “Transversally periodic solitary gravity-capillary waves“, co-authored by Paul Milewski and Zhan Wang has appeared in the Proc Roy Soc London A in January 2014. They describe 3D solitary waves that are localized in the propagation direction and periodic in the transverse direction.  They are computed numerically using a Hamiltonian model for water waves.  Stability is investigated via time evolution of perturbed wave profiles.  The paper can be downloaded here.

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