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Generating exact solutions of the two-dimensional Burgers' equations

✍ Scribed by Clive A. J. Fletcher

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
241 KB
Volume
3
Category
Article
ISSN
0271-2091

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πŸ“œ SIMILAR VOLUMES

Classification of Self Similar Solutions
Classification of Self Similar Solutions to a Generalized Burgers Equation
✍ E. Soewono; L. Debnath πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 315 KB

A complete classification for the self-similar solutions to the generalized Burgers equation \[ u_{t}+u^{\beta} u_{x}=t^{N} u_{x x} \] of the form \(u(t, \eta)=A_{1} t^{-(1-N) / 2 \beta} F(\eta)\), where \(\eta=A_{2} x t^{-(1+N / 2}, A_{2}=1 / \sqrt{2 A}\), and \(A_{1}=\left(2 A_{2}\right)^{-1 / 6