16 citations · 50 across the 24 of their papers we have counts for
25 papers
Coefficient characterization of linear differential equations with maximal symmetries
J. C. Ndogmo
A characterization of the general linear equation in standard form admitting a maximal symmetry algebra is obtained in terms of a simple set of conditions relating the coefficients…
Invariants of a semi-direct sum of Lie algebras
J C Ndogmo
We show that any semi-direct sum of Lie algebras with Levi factor must be perfect if the representation associated with it does not possess a copy of the trivial representa…
Some variational principles associated with ODEs of maximal symmetry. Part 2: The general case
J. C. Ndogmo
Variational and divergence symmetries are studied in this paper for the whole class of linear and nonlinear equations of maximal symmetry, and the associated first integrals are gi…
Some variational principles associated with ODEs of maximal symmetry. Part 1: Equations in canonical form
J. C. Ndogmo
Variational and divergence symmetries are studied in this paper for linear equations of maximal symmetry in canonical form, and the associated first integrals are given in explicit…
Generalization of non-Cartan Symmetries to arbitrary dimensions
J. C. Ndogmo
Second order scalar ordinary differential equations ({\sc ode}s) which are linearizable possess special types of symmetries. These are the only symmetries which are non fiber-prese…
Group classification and exact solutions of a class of nonlinear waves
J. C. Ndogmo
We apply an extension of a new method of group classification to a family of nonlinear wave equations labelled by two arbitrary functions, each depending on its own argument. The r…