Higher order symmetry operators for Schroedinger equation

Anatoly Nikitin (Nikitin@imath.kiev.uau)
Institute of Mathematics
National Academy of Sciences of Ukraine
01004 3 Tereshchenkivska Street Kiev
Ukraine

Abstracts

It is well known that the superintegrability of some classes of Schroedinger equations is closely connected with the related commuting sets of symmetry operators. We present results of our search for such symmetry operators and also the completed group classification of non-linear Schroedinger equation