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Painlevé analysis of a coupled Burgers-heat equation system, and non-classical similarity solutions of the heat equation

✍ Scribed by G.M. Webb


Book ID
107914166
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
392 KB
Volume
41
Category
Article
ISSN
0167-2789

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📜 SIMILAR VOLUMES


Painlevé analysis and similarity solutio
✍ Francesco Oliveri 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 488 KB

In this paper the Painlev6 test of a generalized Burgers' equation containing an arbitrary function of time that describes nonuniformity effects is performed. Moreover the Lie group techniques allowing one to characterize some classes of functional forms for the arbitrary function and the related si

Solutions of the heat conduction equatio
✍ R. J. Wiltshire 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 613 KB

## Abstract A class of analytic, periodic solutions of the heat conduction equation in a non‐uniform soil is derived. The class may be characterized by the fact that the speed of the temperature wave varies according to the square root of the soil diffusivity (a function of soil depth). In addition