Group Classification of a Generalized Lane-Emden System
We perform the group classification of the generalized Lane-Emden system xu′′+nu′+xHv=0, xv′′+nv′+xgu=0, which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We obtain four cases depending on the values of n....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/305032 |
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| Summary: | We perform the group classification of the generalized Lane-Emden system xu′′+nu′+xHv=0, xv′′+nv′+xgu=0, which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We obtain four cases depending on the values of n. |
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| ISSN: | 1110-757X 1687-0042 |