Li, Zhenquan and Roberts, A. J. (2007) Lowdimensional modelling of a generalised Burgers equation. Global Journal of Pure and Applied Mathematics, 3 (3). pp. 203218. ISSN 09731768

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Abstract
Burgers equation is one of the simplest nonlinear partial differential equations—it combines the basic processes of diffusion and nonlinear steepening. In some applications it is appropriate for the diffusion coefficient to be a timedependent function. Using a Wayne's transformation and centre manifold theory, we derive 1mode and 2mode 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.
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Item Type:  Article (Commonwealth Reporting Category C) 

Refereed:  Yes 
Publisher:  Research India Publications 
Item Status:  Live Archive 
Additional Information (displayed to public):  Submitted Version made accessible, and also available at http://arxiv.org/ftp/mathph/papers/0307/0307064.pdf 
Depositing User:  ePrints Administrator 
Faculty / Department / School:  Historic  Faculty of Sciences  Department of Maths and Computing 
Date Deposited:  20 Apr 2010 12:49 
Last Modified:  02 Jul 2013 23:48 
Uncontrolled Keywords:  differential equations; nonlinear models (statistics); binomial coefficients; diffusion 
Fields of Research (FoR):  01 Mathematical Sciences > 0104 Statistics > 010406 Stochastic Analysis and Modelling 02 Physical Sciences > 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics > 020299 Atomic, Molecular, Nuclear, Particle and Plasma Physics not elsewhere classified 01 Mathematical Sciences > 0101 Pure Mathematics > 010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra 01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations 
SocioEconomic Objective (SEO):  E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences 
URI:  http://eprints.usq.edu.au/id/eprint/7528 
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