Abstract
In this paper we investigate peculiarities of phase transition high-symmetry -incommensurate phase in inhomogeneous systems. We have obtained the fractional differential equation for the order parameter and defined the space distribution of the order parameter in the incommensurate phase. We have obtained the nonlinear dispersion law and then present a renormalization group analysis of phase transitions in multiferroics. We have determined the dependence of critical indices on the nonextensivity parameter of the system.
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