We consider the generalized hydrodynamics including the recently introduced diffusion term for an initially inhomogeneous state in the Lieb-Liniger model. We construct a general solution to the linearized hydrodynamics equation in terms of the eigenstates of the evolution operator and study two prototypical classes of initial states: delocalized and localized spatially. We exhibit som... https://www.roneverhart.com/Flying-Cross-DutyGuard-Men-s-Full-Zip-Softshell-Jacket-p8399/