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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 3, Pages 32–38
DOI: https://doi.org/10.15372/PMTF20160304 (Mi pmtf832) 		 
Pattern formation in a nonequilibrium phase transition for a generalized Burgers–Fisher equation

Q. Huanga, J. Tangb, L. Zhangb, K. Ouyangc

a Yancheng Institute of Technology, Yancheng, 224051, China
b College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, China
c State Grid Hunan Electric Power Corporation Research Institute, Changsha, 410007, China
Full-text PDF (190 kB)
DOI: https://doi.org/10.15372/PMTF20160304
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.
Keywords: generalized Burgers–Fisher equation, nonequilibrium phase transition, bifurcation solution, pattern formation.
Received: 05.11.2013
Revised: 30.04.2014
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 3, Pages 416–421
DOI: https://doi.org/10.1134/S0021894416030044
Bibliographic databases:
Document Type: Article
UDC: 517.9; 536.4
Language: Russian
Citation: Q. Huang, J. Tang, L. Zhang, K. Ouyang, “Pattern formation in a nonequilibrium phase transition for a generalized Burgers–Fisher equation”, Prikl. Mekh. Tekh. Fiz., 57:3 (2016), 32–38; J. Appl. Mech. Tech. Phys., 57:3 (2016), 416–421
Citation in format AMSBIB
\Bibitem{HuaTanZha16}
\by Q.~Huang, J.~Tang, L.~Zhang, K.~Ouyang
\paper Pattern formation in a nonequilibrium phase transition for a generalized Burgers--Fisher equation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 3
\pages 32--38
\mathnet{http://mi.mathnet.ru/pmtf832}
\crossref{https://doi.org/10.15372/PMTF20160304}
\elib{https://elibrary.ru/item.asp?id=26153154}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 3
\pages 416--421
\crossref{https://doi.org/10.1134/S0021894416030044}
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