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The exact solution for the free induction decay in a one-dimensional systemin the multi-pulse experiment is obtained at both high and low temperatures inthe approximation of nearest neighbor interactions. The experimentalinvestigation is performed on a quasi-one-dimensional system of $^{19}$Fnuclear spins in a single crystal of fluorapatite. The theoretical results arein a good agreement with the obtained experimental data.

The exact solution for the free induction decay in a quasi-one-dimensional system in a multi-pulse NMR experiment