Effect of boundary conditions on the dynamics of a pulse solution for reaction-diffusion systems
Shin-Ichiro Ei Toshio Ishimoto
Networks & Heterogeneous Media 2013, 8(1): 191-209 doi: 10.3934/nhm.2013.8.191
We consider pulse-like localized solutions for reaction-diffusion systems on a half line and impose various boundary conditions at one end of it. It is shown that the movement of a pulse solution with the homogeneous Neumann boundary condition is completely opposite from that with the Dirichlet boundary condition. As general cases, Robin type boundary conditions are also considered. Introducing one parameter connecting the Neumann and the Dirichlet boundary conditions, we clarify the transition of motions of solutions with respect to boundary conditions.
keywords: Reaction-diffusion systems front solutions. effect of boundary conditions pulse solutions

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