### 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) |
---|---|

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 - 1990 |

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### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: Mathematical and General*,

*23*(21), 4823-4830. [022]. https://doi.org/10.1088/0305-4470/23/21/022

**Inverse solution for some travelling-wave reaction-diffusion problems.** / Borzi, C.; Frisch, H. L.; Gianotti, R.; Percus, J. K.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 23, no. 21, 022, pp. 4823-4830. https://doi.org/10.1088/0305-4470/23/21/022

}

TY - JOUR

T1 - Inverse solution for some travelling-wave reaction-diffusion problems

AU - Borzi, C.

AU - Frisch, H. L.

AU - Gianotti, R.

AU - Percus, J. K.

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001105486&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001105486&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/23/21/022

DO - 10.1088/0305-4470/23/21/022

M3 - Article

AN - SCOPUS:0001105486

VL - 23

SP - 4823

EP - 4830

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 21

M1 - 022

ER -