Inverse solution for some travelling-wave reaction-diffusion problems

C. Borzi; H. L. Frisch; R. Gianotti; J. K. Percus

doi:10.1088/0305-4470/23/21/022

Inverse solution for some travelling-wave reaction-diffusion problems

C. Borzi, H. L. Frisch, R. Gianotti, J. K. Percus

Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1088/0305-4470/23/21/022
State	Published - 1990

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/23/21/022

Cite this

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title = "Inverse solution for some travelling-wave reaction-diffusion problems",

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.",

author = "C. Borzi and Frisch, {H. L.} and R. Gianotti and Percus, {J. K.}",

year = "1990",

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AU - Borzi, C.

AU - Frisch, H. L.

AU - Gianotti, R.

AU - Percus, J. K.

PY - 1990

Y1 - 1990

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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.

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Inverse solution for some travelling-wave reaction-diffusion problems

Abstract

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