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PRELIMINARY GROUP CLASSIFICATION OF EQUATION vt=f(x, vx)v(xx)+g(x, vx)
Qu Changzheng
Acta mathematica scientia,Series B. 1997, 17 (3):
255-261.
Using the method of preliminary group classification introduced by Ibragimov et al[J.Math.Phys.32,2988(1991)], we give a classification of equations vt=f(x, vx)vxx+g(x, vx) which admitting an extension by one of the principal Lie algebra of the equation. The result of this paper is a table of nonequivalent equations possessing an additional symmetry.
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