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First integrals for a generalized coupled Lane–Emden system

✍ Scribed by Ben Muatjetjeja; Chaudry Masood Khalique

Book ID
104070252
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
232 KB
Volume
12
Category
Article
ISSN
1468-1218

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📜 SIMILAR VOLUMES

Exact first integrals for a Lane–Emden e
Exact first integrals for a Lane–Emden equation of the second kind modeling a thermal explosion in a rectangular slab
✍ Robert A. Van Gorder 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 419 KB

The primary focus of the present paper will be the study of the exact first integral of a Lane-Emden equation of the second kind modeling a thermal explosion in a rectangular slab. Such results generalize those of Harley and Momoniat [Harley, C., Momoniat, E., 2008. J. Math. Anal. Appl. 344, 757-764

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✍ P.S. Krasil'nikov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 644 KB

A heuristic scheme is described for constructing Lyapunov v-functions, generalizing the classical method for constructing these functions from the first integrals of the equations of motion under investigation (or from the integrals of a comparison system). It is shown that the generalized scheme in