On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions

  title={On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions},
  author={John J. Tyson and Pavel K. Brazhnik},
  journal={SIAM Journal of Applied Mathematics},
It is shown for the quadratic Fisher equation in two spatial dimensions that, along with a plane wave, there exist several other traveling waves with nontrivial front geometry. Some of the solutions are found in explicit form; others are constructed approximately. The dispersion relationship and velocity-curvature dependence generated by these solutions are studied. 

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