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
✦ LIBER ✦
Self-similar solutions to the generalized deterministic KPZ equation
✍ Scribed by Mohammed GUEDDA; Robert KERSNER
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2003
- Tongue
- English
- Weight
- 192 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1021-9722
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