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We present a general scheme to approach the space - time evolution ofdeformations, currents, and the electric field in charge density waves relatedto appearance of intrinsic topological defects: dislocations, their loops orpairs, and solitons. We derive general equations for the multi-fluidhydrodynamics taking into account the collective mode, electric field, normalelectrons, and the intrinsic defects. These equations may allow to study thetransformation of injected carriers from normal electrons to new periods of thecharge density wave, the collective motion in constrained geometry, and theplastic states and flows. As an application, we present analytical andnumerical solutions for distributions of fields around an isolated dislocationline in the regime of nonlinear screening by the gas of phase solitons.

Multi-fluid hydrodynamics in charge density waves with collective, electronic, and solitonic densities and currents