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[en] We give the generalized definitions of variable separable solutions to nonlinear evolution equations, and characterize the relation between the functional separable solution and the derivative-dependent functional separable solution. The new definitions can unify various kinds of variable separable solutions appearing in references. As application, we classify the generalized nonlinear diffusion equations that admit special functional separable solutions and obtain some exact solutions to the resulting equations
Journal
Communications in Theoretical Physics; ISSN 0253-6102; 
; v. 49(4); p. 829-832
; v. 49(4); p. 829-832