Journal article
Closed-form exact solutions to the density dependent Fitzhugh--Nagumo telegraph equation
- Abstract:
-
We use the first integral method to construct closed-from exact solutions of the density dependent Fitzhugh–Nagumo telegraph equation. While this method is very useful for obtaining formal solutions, many of the solutions are not physically relevant. Hence, we carefully determine which of these solutions is physically useful for the problem. For standard diffusion and linear density dependent diffusion, we obtain physically meaningful exact solutions. Interestingly, the case with linear densi...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Ilirias Research Institute Publisher's website
- Journal:
- Journal of Mathematical Analysis Journal website
- Volume:
- 8
- Issue:
- 1
- Pages:
- 46-69
- Publication date:
- 2017-01-01
- Acceptance date:
- 2017-01-15
- ISSN:
-
2217-3412
Item Description
- Keywords:
- Pubs id:
-
pubs:673269
- UUID:
-
uuid:246a285f-0c64-44a9-812a-477e3f75581b
- Local pid:
- pubs:673269
- Source identifiers:
-
673269
- Deposit date:
- 2017-01-27
Terms of use
- Copyright holder:
- Ilirias Research Institute
- Copyright date:
- 2017
- Notes:
- Copyright © 2017 Ilirias Research Institute. This is the accepted manuscript version of the article. The final version is available online from Ilirias Research Institute at: http://www.ilirias.com/jma/vol_8_issue_1.html
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