Email this article Pattern formation in a nonequilibrium phase transition for a generalized Burgers–Fisher equation
- Authors: Huang Q.1, Tang J.1,2, Zhang L.2, Ouyang K.3
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Affiliations:
- Department of Fundamental Sciences
- College of Mechanical and Vehicle Engineering
- State Grid Hunan Electric Power Corporation Research Institute
- Issue: Vol 57, No 3 (2016)
- Pages: 416-421
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159310
- DOI: https://doi.org/10.1134/S0021894416030044
- ID: 159310
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Abstract
A nonequilibrium phase transition of a generalized Burgers–Fisher equation describing biological pattern formation with a periodic boundary condition is examined. In the presence of a weak external force, some approximate bifurcation solutions near a critical point and new spatially periodic patterns are obtained by using the perturbation method in an infinite-dimensional space. The result shows that the external force delays the bifurcation.
About the authors
Q. Huang
Department of Fundamental Sciences
Author for correspondence.
Email: joweiwong@gmail.com
China, Yancheng, 224051
J. Tang
Department of Fundamental Sciences; College of Mechanical and Vehicle Engineering
Email: joweiwong@gmail.com
China, Yancheng, 224051; Changsha, 410082
L. Zhang
College of Mechanical and Vehicle Engineering
Email: joweiwong@gmail.com
China, Changsha, 410082
K. Ouyang
State Grid Hunan Electric Power Corporation Research Institute
Email: joweiwong@gmail.com
China, Changsha, 410007
