Article ID Journal Published Year Pages File Type
1890764 Chaos, Solitons & Fractals 2006 8 Pages PDF
Abstract
The dynamics of wave front in two dimensional excitable media is described by the derivative Burgers' equation. In this paper, we will carry out Lie symmetry analysis to the equation for constructing particular solutions associated with chemical patterns. The form of the variable coefficient in the reduced equation by using symmetries classifies the invariant solutions into three cases and the solutions include arc, circle, knee, spiral and double scroll patterns.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Preview
Lie symmetry analysis for classification on pattern in excitable media
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