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Exact travelling wave solutions of an ''integrable'' discrete reaction-diffusion equation
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UNSPECIFIED (1997) Exact travelling wave solutions of an ''integrable'' discrete reaction-diffusion equation. PHYSICA D, 106 (3-4). pp. 255-269. ISSN 0167-2789.
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Abstract
We construct exact travelling wave solutions of a discrete reaction-diffusion equation describing a system of coupled bistable elements. The form of the bistable potential is chosen such that in a moving frame the waveform satisfies an integrable discrete equation that can be solved explicitly. We analyse the linear stability of the wave and study wave propagation failure in the weak coupling limit.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 1 August 1997 | ||||
Dates: |
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Volume: | 106 | ||||
Number: | 3-4 | ||||
Number of Pages: | 15 | ||||
Page Range: | pp. 255-269 | ||||
Publication Status: | Published |
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