### 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.

Original language | English (US) |
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Article number | 022 |

Pages (from-to) | 4823-4830 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 23 |

Issue number | 21 |

DOIs | |

State | Published - Dec 1 1990 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Borzi, C., Frisch, H. L., Gianotti, R., & Percus, J. K. (1990). Inverse solution for some travelling-wave reaction-diffusion problems.

*Journal of Physics A: Mathematical and General*,*23*(21), 4823-4830. [022]. https://doi.org/10.1088/0305-4470/23/21/022