Effect of boundary conditions on the dynamics of a pulsesolution for reaction-diffusion systems
SI Ei, T Ishimoto - Networks and Heterogeneous Media, 2013 - aimsciences.org
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 …
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 …
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