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Travelling wave solutions for reaction-diffusion equations

✍ Scribed by Zheng-Yuan Li; Ming-Xin Wang; Ya-Ping Wu; Qi-Xiao Ye

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
461 KB
Volume
30
Category
Article
ISSN
0362-546X

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We construct exact travelling wave solutions of a discrete reaction~liffusion equation describing a system of coupled bistable elements. The form of the bistable potential is chosen such that in a moving frame the wavefonn satisfies an integrable discrete equation that can be solved explicitly. We a