- Abstract:
- In this paper, we use a perturbation method to obtain an approximation to a saddle-saddle heteroclinic trajectory of an autonomous system of ordinary differential equations (ODEs) arising in the equation ut= [(u+εu2)ux]x+u(1-u) in the case of travelling wave solutions (t.w.s. ): u(x,t) = ∅(x-ct). We compare the approximate form of the solution profile and speed thus obtained with the actual solution of the full model and the calculated speed, respectively. © 1994.
- Publication status:
- Published
- Publisher copy:
- 10.1016/0893-9659(94)90051-5
-
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- Journal:
- APPLIED MATHEMATICS LETTERS
- Volume:
- 7
- Issue:
- 1
- Pages:
- 47-51
- Publication date:
- 1994-01-05
- DOI:
- ISSN:
-
0893-9659
- URN:
-
uuid:4b6b1e84-b9e0-416e-bfcf-21502c1c65b7
- Source identifiers:
-
18827
- Local pid:
- pubs:18827
- Language:
- English
- Keywords:
- Copyright date:
- 1994
Journal article
AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION
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