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Coherent Soliton States Hidden in Phase Space and Stabilized by Gravitational Incoherent Structures

Coherent Soliton States Hidden in Phase Space and Stabilized by Gravitational Incoherent Structures

We consider the problem of the formation of soliton states from a modulationally unstable initial condition in the framework of the Schr\"odinger-Poisson (or Newton-Schr\"odinger) equation accounting for gravitational interactions. We unveil a previously unrecognized regime: By increasing the nonlinearity, the system self-organizes into an incoherent localized structure that contains ``hidden'' …