Inverse solution for some travelling-wave reaction-diffusion problems
- 7 November 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (21) , 4823-4830
- https://doi.org/10.1088/0305-4470/23/21/022
Abstract
The authors obtain a novel infinite parametric class of exact, stable travelling-wave solutions of the one-component, one-dimensional reaction diffusion equation by means of an inverse method. A number of explicit examples are worked out in terms of elementary functions. Some special cases of two-component, travelling-wave, reaction-diffusion problems can be reduced to the one-component case and thus solved by this method.Keywords
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