title: Low-dimensional modelling of a generalised Burgers equation
creator: Li, Zhenquan
creator: Roberts, A. J.
description: Burgers equation is one of the simplest nonlinear partial differential equationsâ€”it combines the basic processes of diffusion and nonlinear steepening. In some applications it is appropriate for the diffusion coefficient to be a time-dependent function. Using a Wayne's transformation and centre manifold theory, we derive 1-mode and 2-mode centre manifold models of the generalized Burgers equations for bounded smooth time dependent coefficients. These modelings give some interesting extensions to existing results such as the similarity solutions using the similarity method.
publisher: Research India Publications
date: 2007
type: Article (Commonwealth Reporting Category C)
type: PeerReviewed
format: application/pdf
identifier: http://eprints.usq.edu.au/7528/2/Li_Roberts_GJPAM_2007b_SV.pdf
relation: http://www.ripublication.com/gjpam.htm
identifier: Li, Zhenquan and Roberts, A. J. (2007) Low-dimensional modelling of a generalised Burgers equation. Global Journal of Pure and Applied Mathematics, 3 (3). pp. 203-218. ISSN 0973-1768
relation: http://eprints.usq.edu.au/7528/