Instability of parametrically second- and third-subharmonic resonances governed by nonlinear Schrodinger equations with complex coefficients

Chaos, solitons and fractals

Volumn 11, Issue 11, 2000, Pages 1773-1787

  El Dib, Y O ^a  

^a Ain Shams University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

HARMONIC ANALYSIS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; WAVE EQUATIONS;

BENJAMIN-FEIR INSTABILITY; SCHRODINGER EQUATIONS; TEMPORAL MODULATIONAL METHOD;

RESONANCE;

EID: 0033728161     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(99)00085-5     Document Type: Article

References (28)

1. Miles J.W. Fluid Mech. 148:1984;451.
2. Umeki M.J. Phys Soc. 60:1991;146.
3. Elhefnawy A.R., El-Dib Y.O., Mahmoud Y.D. Int J Theor Phys. 36:1997;2079.
4. El-Dib Y.O. J Plasma Phys. 49:1993;317.
5. El-Dib Y.O. Can J Phys. 72:1997;578.
6. El-Dib Y.O. IMA J Appl Math. 55:1995;97.
7. El-Dib Y.O. Fluid Dyn Res. 15:1995;385.
8. El-Dib Y.O. J Plasma Phys. 55:1996;219.
9. El-Dib YO. Chaos, Solitons & Fractals 1995;5:1007.
10. Benney D.J., Newell A.C. J Math Phys. 46:1967;133.
11. Whitham GB. Linear and nonlinear waves. New York: Wiley, 1974.
12. Newell A.C., Whitehead J.A. J Fluid Mech. 38:1969;279.
13. Benjamin T.B., Feir J.E. J Fluid Mech. 27:1967;417.
14. Zakharov V.E. J Appl Tech Phys. 2:1968;190.
15. Hasimoto H., Ono H. J Phys Soc Jpn. 33:1972;805.
16. Nayfeh A.H. J Appl Math Trans, ASME Ser E. 43(4):1976;584.
17. Davey A., Stewartson K. Proc R Soc London Ser A. 338:1974;101.
18. Lange C.G., Newell A.C. SIAM J Appl Math. 27:1974;441.
19. Hoking L.M., Stewartson K. Proc R Soc London Ser A. 326:1972;289.
20. El-Dib Y.O. Appl Math Lett. 7:1994;89.
21. Jeffrey A, Kawahara T. Asymptotic methods in nonlinear wave theory. London: Pitman, 1982.
22. Grimshaw R.H.J. Wave Motion. 3:1981;81.
23. Nayfeh AH, Mook DT. Nonlinear oscillations. Virginia: Wiley, 1979.
24. Benjamin T.B. Proc R Soc London, Ser A. 299:1967;59.
25. Benjamin T.B., Feir J.E. J Fluid Mech. 27:1967;417.
26. Stuart J.T., DiPrima R.C. Proc R Soc London, Ser A. 362:1978;27.
27. Zahreddine Z., Elshehewy E.F. Ind J Pure Appl Math. 19:1988;963.
28. Mohamed A.A., Elsehewey E.F. Phys Fluids. 26:1983;1724.