Direct similarity analysis of generalized Burgers equations and perturbation solutions of Euler-Painlevé transcendents
In: Studies in applied mathematics (Cambridge), Jg. 111 (2003), Heft 4, S. 435-451
Online
academicJournal
- print, 22 ref
Zugriff:
Similarity reductions of the generalized Burgers equation ut + unux + (j/2t + α)u + (β + y/x)un+1 = uxx, where α, β, and y are non-negative constants, n a positive integer and j = 0, 1, 2, are obtained by the direct method of Clarkson and Kruskal [1]. This is the first work to report the similarity variables as an incomplete gamma function and also as a power of x/√t, and to provide a perturbation solution of an Euler-Painlevé transcedent.
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Direct similarity analysis of generalized Burgers equations and perturbation solutions of Euler-Painlevé transcendents
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Autor/in / Beteiligte Person: | MAYIL VAGANAN, B ; ASOKAN, R |
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Zeitschrift: | Studies in applied mathematics (Cambridge), Jg. 111 (2003), Heft 4, S. 435-451 |
Veröffentlichung: | Boston, MA; Oxford: Blackwell, 2003 |
Medientyp: | academicJournal |
Umfang: | print, 22 ref |
ISSN: | 0022-2526 (print) |
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