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arXiv · 0908.3757

Symmetry group classification for general Burger's equation

Mehdi Nadjafikhah·Rouholah Bakhshandeh-Chamazkoti
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Abstract

The present paper solves the problem of the group classification of the general Burgers' equation $u_t=f(x,u)u_x^2+g(x,u)u_{xx}$, where $f$ and $g$ are arbitrary smooth functions of the variable $x$ and $u$, by using Lie method. The paper is one of the few applications of an algebraic approach to the problem of group classification: the method of preliminary group classification. A number of new interesting nonlinear invariant models which have nontrivial invariance algebras are obtained. The result of the work is a wide class of equations summarized in table form.

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Mehdi Nadjafikhah, Rouholah Bakhshandeh-Chamazkoti. 2009-08-26. Symmetry group classification for general Burger's equation. https://doi.org/10.1016/j.cnsns.2009.09.031

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