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

Abstract : We exhibit a set of six explicit higher nonlocal integral invariants of free-surface deep-water gravity waves conserved in lowest nontrivial orders of perturbation in the amplitude of the surface displacement.
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https://hal.archives-ouvertes.fr/hal-03252526
Contributor : Bérangère Cognata <>
Submitted on : Monday, June 7, 2021 - 5:01:07 PM
Last modification on : Tuesday, June 8, 2021 - 3:25:05 AM

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André Neveu. Perturbatively conserved higher nonlocal integral invariants of free-surface deep-water gravity waves. Physics of Fluids, American Institute of Physics, 2021, 33 (3), pp.032105. ⟨10.1063/5.0039868⟩. ⟨hal-03252526⟩

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