Nonlocal symmetry and explicit solutions for Drinfel'd-Sokolov-Wilson system

摘要

Based on the truncated Painleve method and the Mobius (conformal) invariant form, the nonlocal symmetry for the Drinfel'd-Sokolov-Wilson equation is derived. To use symmetry reductions related with nonlocal symmetry, the nonlocal symmetry is localized to the Lie point symmetry by introducing three dependent variables. Thanks to the localization procedure, many group-invariant solutions of the enlarged systems are constructed with similar reductions.