Analysis and Computation of Traveling Wave Solutions of Bistable Differential-difference Equations

@inproceedings{Elmer1999AnalysisAC,
  title={Analysis and Computation of Traveling Wave Solutions of Bistable Differential-difference Equations},
  author={Christopher E. Elmer and Erik S. Van Vleck},
  year={1999}
}
We consider traveling wave solutions to a class of diierential-diierence equations. Our interest is in understanding propagation failure, directional dependence due to the discrete Laplacian, and the relationship between traveling wave solutions of the spatially continuous and spatially discrete limits of this equation. The diierential-diierence equations that we study include damped and undamped nonlinear wave and reaction-diiusion equations as well as their spatially discrete counterparts… CONTINUE READING