Symmetries and Interaction coefficients of Kelvin waves

TL;DR

This paper investigates the symmetry restrictions on Kelvin wave interaction coefficients, showing that a linear asymptotic in small wave vectors is possible, contrary to naive expectations.

Contribution

It reveals that symmetry considerations do not exclude linear asymptotics in Kelvin wave interactions, providing new insights into wave behavior.

Findings

Linear asymptotic in small wave vector is not forbidden by symmetry.

Symmetry restrictions do not preclude certain interaction behaviors.

Theoretical analysis of Kelvin wave interaction coefficients.

Abstract

We considered symmetry restriction on the interaction coefficients of Kelvin waves and demonstrated that linear in small wave vector asymptotic is not forbidden, as one can expect by naive reasoning.