Preliminary group classification for generalized inviscid Burger's equation

Details Preliminary group classification for generalized inviscid Burger's equation Preliminary group classification for generalized inviscid Burger's equation

2010-09-21

arxiv.org/abs/1009.4068v1

Mathematics

Differential Geometry

15 pages

Scientific paper

Preliminary group classification for a class of generalized inviscid Burger's equations in the general form $u_t+g(x, u)u_x = f(x, u)$ 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.

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