The frequency dependence and low-temperature behavior of the ultrasonic attenuation coefficient of the lattice of a chain crystal containing resonantly scattering defects. The influence of delay and weak localization effects for an acoustic vibrational mode with a large flat part of its dispersion relation. The resonance-level parameters for which the processes of localization are manifested weakly in comparison with the delay effect are determined. The question of the possible manifestation of these effects in experiments on the ultrasonic absorption in the quasi-one-dimensional crystals (Ta1xNbxSe4)2I is discussed.

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