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
Similarity Solutions of a Generalized Burgers Equation
β 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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π SIMILAR VOLUMES
## 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
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