In the paper, with the help of a perturbation expansion method a new higher order nonlinear Schrödinger (HNLS) equation is derived to describe nonlinear modulated Rossby waves in the geophysical fluid. Using this equation, the modulational wave trains are discussed. It is found that the higher order
Effective higher-order nonlinear coefficients of composites with weakly nonlinear media
✍ Scribed by Mayuree Natenapit; Chaivej Thongboonrithi
- Book ID
- 103888166
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 348 KB
- Volume
- 405
- Category
- Article
- ISSN
- 0921-4526
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✦ Synopsis
The field equations, based on the third-order perturbation expansion of electrostatic potential, are derived, and our general formulae for higher-order effective nonlinear coefficients based on the energy definition, are presented and applied to dielectric composites consisting of dilute linear cylindrical inclusions randomly dispersed in a weakly nonlinear host media. The effective nonlinear coefficients are determined up to the ninth order. In addition, the results are also compared to those obtained using the average field method and likely to provide more accurate predictions of effective higher-order nonlinear responses.
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