Pattern Formation in a Nonequilibrium Phase Transition for a Generalized Burgers-Fisher Equation
Q. Huang1, J. Tang2, L. Zhang2, K. Ouyang3
1Yancheng Institute of Technology, Yancheng, 22405, China
2Hunan University, Changsha, 410082,China
3State Grid Hunan Electric Power Corporation Research Institute, Changsha, 410007, China
Keywords: обобщенное уравнение Бюргерса -- Фишера, неравновесный фазовый переход, бифуркационное решение, формирование шаблона, generalized Burgers-Fisher equation, nonequilibrium phase transition, bifurcation solution, pattern formation
Abstract
A nonequilibrium phase transition of a generalized Burger-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.
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