All systems of (n+1)-dimensional quasilinear second-order evolution equations invariant under chain of algebras AG(1.n) contained in/implied by AG 1 (1.n) contained in/implied by AG 2 (1.n) are described. The results obtained are illustrated by the examples of the nonlinear Schrodinger equations, Hamilton-Jacobi-type systems and reaction-diffusion equations.
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Fushchych et al. (1995) studied this question.
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