In this paper we obtain symmetry reductions and exact solutions of a Generalized Benjamin-BonaMahony-Burgers equation using the potential symmetries method. We use the free software MAXIMA program symmgrp2009.max derived by W. Heremann to calculate the determining equations. Key–Words: Potential symmetries, Partial differential equation, Free software

Isotropic Magnetohydrodynamic (MHD) Equilibrium Equations and generalized Anisotropic Magnetohydrodynamic (Chew–Goldberger–Low, CGL) Equilibrium Equations possess infinite-dimensional groups of intrinsic symmetries. We show that certain non-trivial Lie point transformations (that can be obtained by direct application of the general Lie group analysis method) are equivalent to Bogoyavlenskij sym...

This paper is devoted to the presentation and analysis of matrix representations of the genetic code. Principal attention is paid to a family of the genetic matrices which are constructed on the basis of Gray code ordering of their rows and columns. This Gray code ordering reveals new connections of the genetic code to: 8dimensional bipolar algebras; Hadamard matrices; golden matrices; Pythagor...

We study the structure of finite groups G which act as elation groups on finite generalized quadrangles and contain a full group of symmetries about some line through the base point. Such groups are related to the translation groups of translation transversal designs with parameters depending on those of the quadrangles. Using results on the structure of /^-groups which act as translation group...

Within the smooth category, an intertwining is exhibited between the global rigidity of irreducible higher-rank Z Anosov actions on T and the classification of equilibrium-free flows on T that possess nontrivial generalized symmetries.