Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2001-07-18
Phys. Rev. E vol. 64, 066615 (2001)
Nonlinear Sciences
Pattern Formation and Solitons
6 pages, 4 figures, RevTeX 4
Scientific paper
10.1103/PhysRevE.64.066615
Memory effects in transport require, for their incorporation into reaction diffusion investigations, a generalization of traditional equations. The well-known Fisher's equation, which combines diffusion with a logistic nonlinearity, is generalized to include memory effects and traveling wave solutions of the equation are found. Comparison is made with alternate generalization procedures.
Abramson Guillermo
Bishop Alan R.
Kenkre V. M.
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