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

• Autorzy: Dhar A. K. , Mondal J.

Identyfikatory

DOI

10.1515/ijame-2015-0018

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

nonlinear evolution equation; surface capillary gravity wave; stability

PL

grawitacja; fala kapilarna; równania nieliniowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2015
• Tom: Vol. 20, no. 2
• Strony: 267--282
• Opis fizyczny: Bibliogr. 15 poz., wykr.

Twórcy

autor

Dhar A. K.

• Department of Mathematics Indian Institute of Engineering Science and Technology, Shibpur P.O- B. Garden, Shibpur, Dist.- Howrah- 711103 West Bengal, INDIA

autor

Mondal J.

• Department of Mathematics, Kandi Raj High School P.O.- Kandi, Dist.- Murshidabad West Bengal, INDIA

Bibliografia

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