Exact solutions of a variant Boussinesq system
In: International journal of engineering science, Jg. 44 (2006), Heft 18-19, S. 1256-1268
academicJournal
- print, 11 ref
Zugriff:
We apply the symmetry method based on the Fréchet derivative of the differential operators to deduce the Lie symmetries of the following variant of the Boussinesq equations ut + α1 (t)vx + β1 (t)uux + γ1 (t)uxx = 0 vt + α2(t)uvx + β2(t)vux + γ2(t)vxx + p(t)uxxx = 0 where αi(t), βi(t), γi(t), i = 1, 2 andp(t) are arbitrary functions of t. For each infinitesimal generator in the optimal system of subalgebras we study the reduced ODE and, among other solutions, furnish some nontrivial exact solutions in terms of hyperbolic functions.
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Exact solutions of a variant Boussinesq system
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Autor/in / Beteiligte Person: | SINGH, K ; GUPTA, R. K |
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Zeitschrift: | International journal of engineering science, Jg. 44 (2006), Heft 18-19, S. 1256-1268 |
Veröffentlichung: | Oxford: Elsevier, 2006 |
Medientyp: | academicJournal |
Umfang: | print, 11 ref |
ISSN: | 0020-7225 (print) |
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