Sym Paclet Symbol

InvariantSurfaceCondition

InvariantSurfaceCondition[symmetry, dependentVariables]
gives the invariant surface condition for the supplied symmetry.

To use InvariantSurfaceCondition, you first need to load the SYM Package using Needs["SYM`"].

The symmetry is represented by an infinitesimal generator. The space of the depedent variables is given in the second argument.

InvariantSurfaceCondition gives a linear partial differential equation or a system of linear partial differential equations, known to the Lie theory as the Invariant Surface Conditions.

Invariant surface condition for a symmetry of an ODE

Invariant surface condition for a symmetry of a PDE

Invariant surface condition for a symmetry of a system of PDEs