Based on the generalized symmetry group method presented by Lou and Ma [Lou and Ma, Non-Lie symmetry groups of (2 + 1)-dimensional nonlinear systems obtained from a simple direct method, J. Phys. A: Math. Gen. 38 (2005) L129], firstly, both the Lie point groups and the full symmetry group of the nonisospectral BKP equation are obtained, at the same time, a relationship is constructed between th...

A set of Maple V R.3/4 computer algebra routines for the analytical solving of 1 order ODEs, using Lie group symmetry methods, is presented. The set of commands includes a 1 order ODEsolver and routines for, among other things: the explicit determination of the coefficients of the infinitesimal symmetry generator; the construction of the most general invariant 1 order ODE under given symmetries...

Many methods for reducing and simplifying differential equations are known. They provide various generalizations of the original symmetry approach of Sophus Lie. Plenty of relations between them have been noticed and in this note a unifying approach will be discussed. It is rather close to the differential constraint method, but we make this rigorous basing on recent advances in compatibility t...

We review recent developments in strong interaction symmetries. We have tried to emphasize a simple approach starting from very well known facts such as charge independance and isotopic spin. We then present unitary symmetry after a short introduction to the language of Lie Algebras. The experimental data, on masses, multiplets, scattering cross sections are confronted with the theory. We brief...