%0 Journal Article %T Perturbatively conserved higher nonlocal integral invariants of free-surface deep-water gravity waves %+ Laboratoire Charles Coulomb (L2C) %A Neveu, André %< avec comité de lecture %@ 1070-6631 %J Physics of Fluids %I American Institute of Physics %V 33 %N 3 %P 032105 %8 2021-03-01 %D 2021 %R 10.1063/5.0039868 %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Journal articles %X We exhibit a set of six explicit higher nonlocal integral invariants of free-surface deep-water gravity waves conservedin lowest nontrivial orders of perturbation in the amplitude of the surface displacement. %G English %2 https://hal.science/hal-03252526/document %2 https://hal.science/hal-03252526/file/hydroAIP190121.pdf %L hal-03252526 %U https://hal.science/hal-03252526 %~ CNRS %~ L2C %~ MIPS %~ UNIV-MONTPELLIER %~ UM-2015-2021