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- W2033649939 abstract "The authors consider the following nonlinear coupled partial differential equations which describe a biochemical model system: delta x/ delta t=x2y-Bx+K delta 2x/ delta r2; delta y/ delta t=-x2y+Bx+K delta 2y/ delta r2 where B is a parameter and K is the diffusion constant for the concentrations x and y. Seeking a wave solution, the authors obtain a nonlinear ordinary differential equation in one dynamical variable only. This ODE is analysed for the Painleve property and then they are able to find a one-parameter family of solutions which are of biological interest." @default.
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- W2033649939 date "1993-02-07" @default.
- W2033649939 modified "2023-09-27" @default.
- W2033649939 title "Painleve analysis and particular solutions of a coupled nonlinear reaction diffusion system" @default.
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- W2033649939 doi "https://doi.org/10.1088/0305-4470/26/3/006" @default.
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