Wi. Fushchych et Zi. Symenoh, HIGH-ORDER EQUATIONS OF MOTION IN QUANTUM-MECHANICS AND GALILEAN RELATIVITY, Journal of physics. A, mathematical and general, 30(6), 1997, pp. 131-135
Linear partial differential equations of arbitrary order invariant und
er the Galilei transformations are described. Symmetry classification
of potentials for these equations in two-dimensional space is carried
out. High-order nonlinear partial differential equations invariant und
er the Galilei, extended Galilei and full Galilei algebras are studied
.