Preliminary group classification for generalized inviscid Burger's equation

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Preliminary group classification for a class of generalized inviscid Burger's equations in the general form uₜ+g(x, u)uₓ = f(x, u) is given and additional equivalence transformations are found. Adduced results complete and essentially generalize recent works on the subject. A number of new interesting nonlinear invariant models which have non-trivial invariance algebras are obtained. The result of the work is a wide class of equations summarized in table form.