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Generalized Frenkel-Kontorova model for point lattice defects.

The authors have generalized the well-known Frenkel-Kontorova theoretical model by including the elastic properties of the three-dimensional medium surrounding the discrete atomic chain considered. The generalized sine-Gordon equation and the integro-differential equation describing the point lattice defect in a highly anisotropic crystal are derived. The numerical solution of these equations corroborates all the analytical estimates