Abstract
The paper discusses the optimal system for a nonlinear Burger equation whose coefficients are dependent on first order spatial derivatives. The main purpose for the project is to determine the optimal system for the operators accepted by the equation. We construct the principal Lie algebra, calculate transformations for the generators which provide one-parameter group of transformations for the operator using Lie equations. We construct optimal systems for the equation where the method requires a simplification of a vector to a general form for each of the transformations of the generators. These are finally used to determine invariant solutions for some operators.
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