Low-dimensional modelling of a generalized Burgers equation

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dc.creatorLi, Zhenquan
dc.creatorRoberts, A. J.
dc.date2003-07-30
dc.date.accessioned2026-07-07T04:30:25Z
dc.date.available2026-07-07T04:30:25Z
dc.descriptionBurgers 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 time-dependent function. Using a Wayne's transformation and centre manifold theory, we derive l-mode and 2-mode centre manifold models of the generalised Burgers equations for bounded smooth time dependent coefficients. These modellings give some interesting extensions to existing results such as the similarity solutions using the similarity method.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0307064
dc.identifierhttp://arxiv.org/abs/math-ph/0307064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57462
dc.subjectMathematical Physics
dc.titleLow-dimensional modelling of a generalized Burgers equation
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