A Method and Its Implementation for Constructing Baecklund Transformations to Nonlinear Evolution Equations

摘要

An algorithmic method to construct a kind of auto Baecklund transformations (BTs) is proposed. A Maple package AutoBT, which can entirely automatically generate auto BT is presented. AutoBT has been effectively applied to many nonlinear evolution equations with physical significance. Not only are previously known BT recovered but also in some cases new and more general form of BT are obtained.