Abstract
In this paper we restrict ourselves to Lie point symmetries an applications to the fourth order generalized Burgers equation GBE4. Using computer programs under the computer algebra package MATHEMATICA we find a three dimensional solvable Lie algebra of point symmetries of the GBE4 equation. The similarity reductions due to these symmetries have also been obtained.
Highlights
Using computer programs under the computer algebra package MATHEMATIC A we find a three dimensional solvable Lie algebra of point symmetries of the GBE4 equation
The idea of applying Lie group theory to solve differential equations is as old as the Lie group theory itself [1]
The reason may be several misconceptions in the minds of potential users of group theory, such as i) Is is as difficult to find symmetry group of an equation as to solve it, ii) Group theory only provides randomly occuring particular solutions, ill) Group theory is only useful for linear equations [2]
Summary
The idea of applying Lie group theory to solve differential equations is as old as the Lie group theory itself [1]. Abstract: In this paper we restrict ourselves to Lie point symmetries an applications to the fourth order generalized Burgers equation GBE4. Using computer programs under the computer algebra package MATHEMATIC A we find a three dimensional solvable Lie algebra of point symmetries of the GBE4 equation. The symmetry group of a system of differential equations is, roughly speaking, a group of transformations of independent and dependent variables leaving the set of all solutions invariant.
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