5 papers
The nested derivative criterion for determining elementary solutions to certain non-linear PDEs in one-dimensional space-time
Franceso Maltese
In this article, we have studied a particular criterion to establish if a particular class of nonlinear PDEs in unidimensional space-time …
The existence and local uniqueness of the eigenfunctions of the non-linear operator in the hyperbolic Poincaré half-plane
F. Maltese
In this article we find locally an eigenfunctions for a particular nonlinear hyperbolic differential operator , where is the hyperbolic Laplacian in the half-plane…
A non-homogeneous generalization of Burgers equations
Francesco Maltese
In this article we study generalizations of the inhomogeneous Burgers equation. First at the operator level, in the sense that we replace classical differential derivations by oper…
S-invariant and S-multinvariant functions and some symmetry groups of algebraic sieves
Francesco Maltese
In this article we introduced algebraic sieves, i.e. selection procedures on a given finite set to extract a particular subset. Such procedures are performed by finite groups actin…
A note on nonlinear diffusive equations on Poincaré half plane
Roberto Garra, Francesco Maltese
In this paper we show some explicit results regarding non-linear diffusive equations on Poincaré half plane. We obtain exact solutions by using the generalized separation of variab…