Abstract
New classes of exact solutions of nonlinear equations and systems of equations that are encountered in the mass and heat transfer theory of reacting media and mathematical biology are described. General equations and systems of equations where the rates of chemical reactions depend on one or several arbitrary functions are the focus of attention. Solutions with functional arbitrariness are found (they are expressed through the solutions of a linear heat transfer equation and the solutions of nonlinear systems of ordinary differential equations); solutions with generalized separation of variables and other solutions are described. The transfer coefficients and the kinetics of chemical reactions are considered as functions of temperature (concentration).
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