Analytical nonlinear collisional dynamics of near-threshold eigenmodes

Abstract

A closed-form analytical solution is found for the nonlinear dynamics of isolated, near-threshold waves in the presence of strong scattering. The proposed solution can be useful in verifying codes across several disciplines, including Alfv\'enic instabilities and thermal plasma turbulence in fusion plasmas and studies of viscous shear flows in fluid dynamics, as well as a rapid means for predicting and analyzing experimental outcome.