Turbulent cascades in a truncation of the cubic Szegő equation and related systems
Turbulent cascades in a truncation of the cubic Szegő equation and related systems
The cubic Szego equation has been studied as an integrable model for deterministic turbulence, starting with the foundational work of Gerard and Grellier. We introduce a truncated version of this equation, wherein a majority of the Fourier mode couplings are eliminated while the signature features of the model are preserved, …