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Lie symmetry analysis for classification on pattern in excitable media |
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| Authors: | Souichi Murata Hiroyasu Yamada |
| Affiliation: | aDepartment of Physics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan bBio-Mimetic Control Research Centre, The Institute of Physical and Chemical Research (RIKEN), Nagoya 463-0003, Japan |
| 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. |
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