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

TL;DR

This paper identifies six explicit higher nonlocal conserved charges in free-surface deep-water gravity waves within a perturbative framework, revealing new invariants in wave dynamics.

Contribution

It introduces a set of six explicit higher nonlocal charges conserved at lowest perturbation order, advancing understanding of wave invariants.

Findings

Six explicit higher nonlocal charges identified

Charges conserved in lowest perturbation order

Enhances understanding of wave invariants

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.