Nonlinear analysis of instability produced by linear mode coupling

Physica D: Nonlinear Phenomena

Volumn 113, Issue 1, 1998, Pages 26-42

  Grimshaw, Roger ^a   He, Jianming ^a   Malomed, Boris A ^a,b  

^a MONASH UNIVERSITY   (Australia)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

Instability; Resonance; Wave collapse

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; HYDRODYNAMICS; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; RESONANCE;

LINEAR MODE COUPLING; NONLINEAR ANALYSIS; WAVE COLLAPSE;

NONLINEAR EQUATIONS;

EID: 0032003591     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)00189-9     Document Type: Article

References (13)

1. A.D.D. Craik, Wave Interactions in Fluid Flows (Cambridge University Press, Cambridge, 1985).
2. A.B. Aceves and S. Wabnitz, Phys. Lett. A 141 (1989) 37.
3. R. Grimshaw and B.A. Malomed, Phys. Rev. Lett. 72 (1994) 949.
4. D.J. Benney and S.A. Maslowe, Stud. Appl. Math. 54 (1975) 181.
5. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford University Press, Oxford, 1995).
6. M. Wadati, T. Iizuka and T. Yajima, Physica D 51 (1991) 388.
7. C.L. Goodridge, W.T. Shi and D.P. Lathrop, Phys. Rev. Lett. 76 (1996) 1824.
8. A.C. Newell and V.E. Zakharov, Phys. Rev. Lett. 69 (1992) 1149;
9. M.P. Brenner, X.D. Shi and S.R. Nagel, Phys. Rev. Lett. 73 (1994) 3391;
10. E.A. Kuznetsov, M.D. Spector and V.E. Zakharov, Phys. Rev. E 49 (1994) 1283.
11. H.W. Winful, R. Zamir and S. Feldman, Appl. Phys. Lett. 17 (1991) 1266;
12. A.B. Aceves, C. De Angelis and S. Wabnitz, Opt. Lett. 17 (1992) 1566.
13. R. Grimshaw and P. Christodoulides, in preparation.