Short-wave excitations in non-local Gross-Pitaevskii model
✍ Scribed by Ivashin, Anatoly ;Poluektov, Yuri
- Book ID
- 111489268
- Publisher
- Walter de Gruyter GmbH
- Year
- 2011
- Tongue
- English
- Weight
- 374 KB
- Volume
- 9
- Category
- Article
- ISSN
- 2391-5471
No coin nor oath required. For personal study only.
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## Abstract Non‐local dispersive model for wave propagation in heterogeneous media is derived from the higher‐order mathematical homogenization theory with multiple spatial and temporal scales. In addition to the usual space–time co‐ordinates, a fast spatial scale and a slow temporal scale are intr
## Abstract Three non‐dispersive models in multi‐dimensions have been developed. The first model consists of a leading‐order homogenized equation of motion subjected to the secularity constraints imposing uniform validity of asymptotic expansions. The second, non‐local model, contains a fourth‐orde