Nonlinear Diffusion-Convection Systems: Lie and Q-Conditional Symmetries

arising in several application [4]. Lie symmetry of BEq was found in [5], while the Q-conditional symmetry (i.e., non-classical symmetry [6]) was described in [7] and [8]. In the general case a wide list of Lie symmetries for DC equations of the form (1) is presented in [9]. A complete description of Lie symmetries, i.e., group classification of (1) has been done in [10]. The Q-conditional symmetry was also investigated in that paper. A natural generalization of (1) on several components is the following system of DC equations: