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

@article{Tyson2000OnTW, 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}, year={2000}, volume={60}, pages={371-391} }

- Published 2000 in SIAM Journal of Applied Mathematics
DOI:10.1137/S0036139997325497

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.Â