数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (3): 255-261.
屈长征
Qu Changzheng
摘要: 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.