Some travelling wave reaction diffusion problems

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

doi:10.1080/10420158908212987

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

We present a simple inverse method for finding travelling wave solutions of the one-dimensional reaction-diffusion (Fisher-Kolmogorov) equation for a restricted class of functions. We illustrate the method by some explicit, stable solutions in closed form.

Original language	English (US)
Pages (from-to)	119-123
Number of pages	5
Journal	Radiation Effects and Defects in Solids
Volume	111-112
Issue number	1-2
DOIs	https://doi.org/10.1080/10420158908212987
State	Published - Dec 1 1989

ASJC Scopus subject areas

Radiation
Nuclear and High Energy Physics
General Materials Science
Condensed Matter Physics

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10.1080/10420158908212987

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title = "Some travelling wave reaction diffusion problems",

abstract = "We present a simple inverse method for finding travelling wave solutions of the one-dimensional reaction-diffusion (Fisher-Kolmogorov) equation for a restricted class of functions. We illustrate the method by some explicit, stable solutions in closed form.",

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

note = "Funding Information: ACKNOWLEDGEMENT This work has been done under program VS87:29 ICTP, Trieste Italy. Two of us (C.B. and R.G.) acknowledge support from CONICET, Argentina. H.L.F. and J.K.P. acknowledge support by the Donors of the Petroleum Fund of the American Chemical Society and H.L.F. also acknowledges support by the U.S. Army Research Office under Grant DAAL 0388K0198.",

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T1 - Some travelling wave reaction diffusion problems

AU - Borzi, C.

AU - Frisch, H. L.

AU - Gianotti, R.

AU - Percus, J. K.

N1 - Funding Information: ACKNOWLEDGEMENT This work has been done under program VS87:29 ICTP, Trieste Italy. Two of us (C.B. and R.G.) acknowledge support from CONICET, Argentina. H.L.F. and J.K.P. acknowledge support by the Donors of the Petroleum Fund of the American Chemical Society and H.L.F. also acknowledges support by the U.S. Army Research Office under Grant DAAL 0388K0198.

PY - 1989/12/1

Y1 - 1989/12/1

N2 - We present a simple inverse method for finding travelling wave solutions of the one-dimensional reaction-diffusion (Fisher-Kolmogorov) equation for a restricted class of functions. We illustrate the method by some explicit, stable solutions in closed form.

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Some travelling wave reaction diffusion problems

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