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.
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.
