These reductions are herein omitted since they do not lead to solutions which satisfy realistic boundary conditions. One may relate Equation ... G.W. BLUMAN AND S.C. Anco, Symmetry and integration methods for differential equations, Springer-Verlag, New York, 2002. 3. ... A.C. Hearn. Reduce usera#39;s manual version 3.4, Santa Monica, California: Rand Publication CP78, The Rand Corporation, 1985.