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Perturbatively conserved higher nonlocal charges of free-surface deep-water gravity waves

Fluid Dynamics 2021-03-17 v3 Mathematical Physics math.MP

Abstract

We exhibit a set of six explicit higher nonlocal charges of free-surface deep-water gravity waves conserved in lowest nontrivial orders of perturbation in the amplitude of the surface displacement.

Keywords

Cite

@article{arxiv.2011.06400,
  title  = {Perturbatively conserved higher nonlocal charges of free-surface deep-water gravity waves},
  author = {André Neveu},
  journal= {arXiv preprint arXiv:2011.06400},
  year   = {2021}
}

Comments

9 pages, some errors of the previous version have been corrected