9 citations · 9 across the 1 of their papers we have counts for
4 papers
Equations of the reaction-diffusion type with a loop algebra structure
E. Alfinito, V. Grassi, R. A. Leo +2
A system of equations of the reaction-diffusion type is studied in the framework of both the direct and the inverse prolongation structure. We find that this system allows an incom…
A class of nonlinear wave equations containing the continuous Toda case
E. Alfinito, M. S. Causo, G. Profilo +1
We consider a nonlinear field equation which can be derived from a binomial lattice as a continuous limit. This equation, containing a perturbative friction-like term and a free pa…
Properties of equations of the continuous Toda type
E. Alfinito, G. Profilo, G. Soliani
We study a modified version of an equation of the continuous Toda type in 1+1 dimensions. This equation contains a friction-like term which can be switched off by annihilating a fr…
Two Extended Versions of the Continuous 2D-Heisenberg Model
E. Alfinito, G. Profilo, G. Soliani
We analyze two extended versions [the Ishimori model (IM) and a related system, which will be called modified Ishimori model (mIM)] of the continuous Heisenberg model in (2+1)-dime…