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The evolution of travelling waves in generalized Fisher equations via matched asymptotic expansions: algebraic corrections.
- Source :
-
Quarterly Journal of Mechanics & Applied Mathematics . Feb2001, Vol. 54 Issue 1, p157-175. 19p. - Publication Year :
- 2001
-
Abstract
- In this paper we address an initial-boundary-value problem for a generalized Fisher equation. In particular, we use the method of matched asymptotic expansions to develop a rational approach for determining the propagation speed for the large-t (time) travelling wave structures which evolve in the initial-boundary-value problem. This approach resolves apparent paradoxes which arise in the much used linearized approximation (in the cases R(u) ≤ U and R(u) ≤ u, where R(u) is the associated reaction function) and is readily adaptable to systems of Fisher-Kolmogorov type and to problems in higher spatial dimensions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00335614
- Volume :
- 54
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Quarterly Journal of Mechanics & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 4258706
- Full Text :
- https://doi.org/10.1093/qjmam/54.1.157