Equations of the reaction-diffusion type with a loop algebra structure
solv-int
2009-10-30 v1 Condensed Matter
High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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 incomplete prolongation Lie algebra, which is used to find the spectral problem and a whole class of nonlinear field equations containing the original ones as a special case.
Cite
@article{arxiv.solv-int/9710007,
title = {Equations of the reaction-diffusion type with a loop algebra structure},
author = {E. Alfinito and V. Grassi and R. A. Leo and G. Profilo and G. Soliani},
journal= {arXiv preprint arXiv:solv-int/9710007},
year = {2009}
}
Comments
16 pages, LaTex. submitted to Inverse Problems