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Title: Effect of capillarity on fourth order nonlinear evolution equation for two stokes wave trains in deep water in the presence of air flowing over water
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Abstract:
Fourth order nonlinear evolution equations, which are a good starting point for the study of nonlinear water waves, are derived for deep water surface capillary gravity waves in the presence of second waves in which air is blowing over water. Here it is assumed that the space variation of the amplitude takes place only in a direction along which the group velocity projection of the two waves overlap. ; A stability analysis is made for a uniform wave train in the presence of a second wave train. Graphs are plotted for the maximum growth rate of instability wave number at marginal stability and wave number separation of fastest growing sideband component against wave steepness. Significant improvements are noticed from the results obtained from the two coupled third order nonlinear Schrödinger equations.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 20, number 2 (2015)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2015)
Last modified:
Jul 6, 2023
In our library since:
Apr 12, 2023
Number of object content hits:
34
All available object's versions:
https://www.zbc.uz.zgora.pl/publication/80784
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International Journal of Applied Mechanics and Engineering (IJAME)
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- International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 2 (2015) - spis treści
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