Spontaneous modulational instability of elliptic periodic waves: the
soliton condensate model
Spontaneous modulational instability of elliptic periodic waves: the
soliton condensate model
We use the spectral theory of soliton gas for the one-dimensional focusing nonlinear Schr\"odinger equation (fNLSE) to describe the statistically stationary and spatially homogeneous integrable turbulence emerging at large times from the evolution of the spontaneous (noise-induced) modulational instability of the elliptic ``dn'' fNLSE solutions. We show that a special, …