Symmetry Reductions of a Lax Pair for (2+1)-Dimensional Differential Sawada-Kotera Equation

Based on the symbolic computational system - Maple, the similarity reductions of a Lax pair for the (2+1)-dimensional differential Sawada-Kotera (SK) equation by the classical Lie point group method, are presented. We obtain several interesting reductions. Comparing the reduced Lax pair's compatibility with the reduced SK equation under the same symmetry group, we find that the reduced Lax pairs do not always lead to the reduced SK equation. In general, the reduced equations are the subsets of the compatibility conditions of the reduced Lax pair.