The Riccati System and a Diffusion-Type Equation
Mathematical Physics
2011-03-08 v2 math.MP
Abstract
We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonautonomous Burgers-type equation is also considered.
Cite
@article{arxiv.1102.4630,
title = {The Riccati System and a Diffusion-Type Equation},
author = {Erwin Suazo and Sergei K. Suslov and Jose M. Vega-Guzman},
journal= {arXiv preprint arXiv:1102.4630},
year = {2011}
}
Comments
11 pages, no figures