Equations of the reaction-diffusion type with a loop algebra structure
solv-int
2009-10-30 v1 凝聚态物理
高能物理 - 理论
数学物理
math.MP
可精确求解与可积系统
摘要
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.
引用
@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}
}
备注
16 pages, LaTex. submitted to Inverse Problems