Nonlinear differential equations based on nonextensive Tsallis entropy and physical applications
نویسندگان
چکیده
A family of nonlinear ordinary differential equations with arbitrary order is obtained by using nonextensive concepts related to the Tsallis entropy. Applications of these equations are given here. In particular, a connection between Tsallis entropy and the one-dimensional correlated anomalous diffusion equation is established. It is also developed explicitly a WKB-like method for second order equations and it is applied to solve approximately a class of equations that contains as a special case the Thomas-Fermi equation for an atom. It is expected that the present ideas can be useful in the discussion of other nonlinear contexts. PACS number(s): 05.20.-y, 05.90.+m, 02.10.Jf Typeset using REVTEX 1
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