Invariant Noether Correspondence

> with(Vessiot):

(a package, designed by Ian Anderson et. al. that contains commands for all the basic operations of calculus on jet spaces. Available from http://www.math.usu.edu/~fg_mp/Pages/SymbolicsPage/Symbolics.html)

> read("iVBstructure"):

(a procedure that computes structure equations for an invariant coframe on a jet bundle. Available from Irina Kogan: iakogan@ncsu.edu)

> read("iVarCalc"):

(a package that implements variational calculus relative to invariant frames. Available from Irina Kogan: iakogan@ncsu.edu)

SE(2) action on plane curves. Lagrangian: lambda = kappa^2*sigma[1]

SA(2) action on plane curves. Lagrangian: lambda = kappa*sigma[1]

Trivial action. Lagrangian for non-linear Schrodinger equation