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Lie symmetry analysis for classification on pattern in excitable media

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  • Murata, Souichi
  • Yamada, Hiroyasu

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.

Suggested Citation

  • Murata, Souichi & Yamada, Hiroyasu, 2006. "Lie symmetry analysis for classification on pattern in excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1188-1195.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:5:p:1188-1195
    DOI: 10.1016/j.chaos.2005.09.018
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    Cited by:

    1. Gordoa, P.R., 2007. "A note on solutions of an equation modelling arterial deformation," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1505-1511.

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