Double reductions/analysis of the Drinfeld–Sokolov–Wilson equation

摘要

In this paper, we show that the recently developed formulation of the association between symmetries and conservation laws lead to double reductions of the third-order Drinfeld–Sokolov–Wilson system of partial differential equations (PDEs). For illustrative purposes only, we carry out the procedure for a version of the well-known third-order scalar Korteweg–de Vries (KdV) equation via a scaling symmetry of the equation.