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We are concerned with travelling wave solutions arising in a reactiondiffusion equation with bistable and nonlocal nonlinearity, for which thecomparison principle does not hold. Stability of the equilibrium $u\equiv 1$ isnot assumed. We construct a travelling wave solution connecting 0 to an unknownsteady state, which is "above and away", from the intermediate equilibrium. Forfocusing kernels we prove that, as expected, the wave connects 0 to 1. Ourresults also apply readily to the nonlocal ignition case.

Bistable travelling waves for nonlocal reaction diffusion equations