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Similarity Solutions of a Generalized Burgers Equation

✍ Scribed by DOYLE, J.; ENGLEFIELD, M. J.


Book ID
115483412
Publisher
Oxford University Press
Year
1990
Tongue
English
Weight
353 KB
Volume
44
Category
Article
ISSN
0272-4960

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πŸ“œ SIMILAR VOLUMES


Classification of Self Similar Solutions
✍ 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

Truncated Taylor series solutions to a g
✍ G.P. Howell πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 621 KB

## A A generalized Burgers' equation is solved in the frequency domain by deriving Taylor series expansions in powers of the range variable. The first five terms of the solution are derived, for both plane and spherical deterministic waveforms, for the boundary value problem of an arbitrary time h

Analytic multi-soliton solutions of the
✍ Jun Liu; Gui Mu; Zhengde Dai; Xi Liu πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 206 KB

The most elementary ansatz of the double-Exp-function method for finding exact doublewave solutions can be produced by an extension of a two-soliton ansatz in a fractional form. The generalized Burgers equation is used as an example, and closed form analytic multi-soliton solutions are obtained for