We consider traveling wave solutions of bistable lattice differential equations with repelling first neighbor and/or second neighbor interactions. Such equations arise as prototypical discrete models of phase transitions. Traveling wave solutions in this case correspond to heteroclinic connections between spatially periodic solutions and in some cases results can be obtained by rewriting as an appropriate vector equation. We present some recent results when there are both repelling first and second nearest neighbor interactions and for repelling first neighbor interactions in higher space dimensions. This talk represents joint work with Maila Brucal-Hallare, Hermen Jan Hupkes, Anna Vainchtein, and Aijun Zhang.