Effect of a periodic acceleration on nonlinear modulation of interfacial gravity-capillary waves between two electrified fluids under the influence of a horizontal electric field

Canadian Journal of Physics

Volumn 72, Issue 9-10, 1994, Pages 578-590

  El Dib, Yusry O ^a  

^a Ain Shams University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; ELECTRIC FIELDS; GRAVITY WAVES; NONLINEAR EQUATIONS; SCHRODINGER EQUATION; STABILITY;

ACCELERATION FREQUENCY; GRAVITY CAPILLARY WAVES; HORIZONTAL ELECTRIC FIELDS; METHOD OF MULTIPLE SCALE; NONLINEAR MODULATION; NUMERICAL CALCULATION; SUB-HARMONIC RESPONSE; TIME-DEPENDENT SOLUTIONS;

STABILITY CRITERIA;

EID: 85002184131     PISSN: 00084204     EISSN: None     Source Type: Journal    
DOI: 10.1139/p94-074     Document Type: Article

References (24)

1. M. Faraday. Philos. Trans. R. Soc. London, 121, 319 (1831).
2. T.B. Benjamin and F. Ursell. Proc. R. Soc. London, A: 225, 505 (1954).
3. R.E. Kelly. J. Fluid Mech. 22(3), 547 (1965).
4. M. Umeki and T. Kambe. J Phys. Soc. Jpn. 58(1 ), 140 (1989).
5. T. Kambe and M. Umeki. J. Fluid Mech. 212, 373 (1990).
6. M.J. Lyell and M. Roh Michael. AIAA J. 29(11), 1894 (1991).
7. J. Wu, R. Keolian, and I. Rudonick. Phys. Rev. Lett. 52, 1421 (1984).
8. J.R. Melcher. Field coupled surface waves. MIT Press, Cambridge, Mass. 1963.
9. D.H. Michael Q. Appl. Math. 35, 345 (1977).
10. R.K. Kant, R.K. Jindia, and S.K. Malik. Q. Appl. Math. 39, 23 (1981).
11. A.A. Mohamed and E.F. Elshehawey. J. Fluid Mech. 129, 472 (1983).
12. A.A. Mohamed and E.F. Elshehawey. Phys. Fluids, 26, 1724 (1983).
13. A.A. Mohamed and E.F. Elshehawey. Arabian J. Sci. Eng. 9, 345 (1984).
14. A.A. Mohamed and E.F. Elshehawey. Fluid Dyn. Res. 5, 117 (1989).
15. H. Hasimoto and H. Ono. J. Phys. Soc. Jpn. 33, 805 (1972).
16. A.H. Nayfeh. J. Appl. Mech. ASME. Trans, Series E. 98, 584 (1976).
17. A.F. Elhefnawy. Physica A: (Amsterdam), 182(3), 419 (1992).
18. D.W. Jordan and P. Smith. Nonlinear ordinary differential equations. Oxford University Press, Oxford. 1977.
19. A.H. Nayfeh and D.T. Mook. Nonlinear oscillations. John Wiley and Sons Inc., Virginia. 1979.
20. E.F. Elshehawey and N.R. Abd El-Gawaad. Physica A: (Amsterdam), 161, 221 (1989).
21. E.F. Elshehawey and N.R. Abd El-Gawaad. Int. J. Theor. Phys. 28(12), 1533 (1990).
22. E.F. Elshehawey and N.R. Abd El-Gawaad. Can. J. Phys. 68, 479 (1990).
23. J.W. Miles. J. Fluid Mech. 148, 451 (1984).
24. M. Umeki. J. Phys. Soc. Jpn. 60, 146 (1991).