Modulational instabilities and domain walls in coupled discrete nonlinear Schrödinger equations

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 330, Issue 1-2, 2004, Pages 95-106

  Rapti, Z ^a,b   Trombettoni, A ^c   Kevrekidis, P G ^a,b   Frantzeskakis, D J ^d   Malomed, Boris A ^e   Bishop, A R ^b  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b CENTER FOR NONLINEAR STUDIES   (United States)

^c UNIVERSITY OF PARMA   (Italy)

^d UNIVERSITY OF ATHENS   (Greece)

^e TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN WALLS; MODULATION;

DINGER EQUATION; LINEAR COUPLING; LINEAR TERMS; MODULATIONAL INSTABILITY; PLANE WAVE SOLUTIONS;

NONLINEAR EQUATIONS;

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NONLINEAR SYSTEM;

EID: 4444356908     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2004.07.052     Document Type: Article

References (39)

1. T.B. Benjamin, and J.E. Feir J. Fluid. Mech. 27 1967 417
2. L.A. Ostrovskii Sov. Phys. JETP 24 1969 797
3. G.P. Agrawal Nonlinear Fiber Optics 1995 Academic Press San Diego, CA
4. T. Taniuti, and H. Washimi Phys. Rev. Lett. 21 1968 209
5. A. Hasegawa Phys. Rev. Lett. 24 1970 1165
6. A. Hasegawa, and Y. Kodama Solitons in Optical Communications 1995 Clarendon Press Oxford
7. Yu.S. Kivshar, and M. Peyrard Phys. Rev. A 46 1992 3198
8. D.N. Christodoulides, and R.I. Joseph Opt. Lett. 13 1988 794
9. For recent reviews see, e.g. P.G. Kevrekidis, K.Ø. Rasmussen, and A.R. Bishop Int. J. Mod. Phys. B 15 2001 2833
10. J.C. Eilbeck, and M. Johansson L. Vázquez Proceedings of the 3rd Conference Localization & Energy Transfer in Nonlinear Systemsm, June 17-21 2002, San Lorenzo de El Escorial Madrid 2003 World Scientific New Jersey 44 nlin.PS/0211049
11. A. Smerzi, A. Trombettoni, P.G. Kevrekidis, and A.R. Bishop Phys. Rev. Lett. 89 2002 170402
12. F.S. Cataliotti, L. Fallani, F. Ferlaino, C. Fort, P. Maddaloni, and M. Inguscio New J. Phys. 5 2003 71
13. V.V. Konotop, and M. Salerno Phys. Rev. A 65 2002 021602
14. M. Machholm, A. Nicolin, C.J. Pethick, and H. Smith Phys. Rev. A 69 2004 043604
15. L. Fallani cond-mat/0404045
16. F.Kh. Abdullaev, S.A. Darmanyan, and J. Garnier Progr. Opt. 44 2002 303
17. P.G. Kevrekidis, and D.J. Frantzeskakis Mod. Phys. Lett. B 18 2004 173
18. J. Meier Phys. Rev. Lett. 92 2004 163902
19. O. Mandel, M. Greiner, A. Widera, T. Rom, T.W. Hänsch, and I. Bloch Phys. Rev. Lett. 91 2003 010407
20. B. Deconinck, J.N. Kutz, M.S. Patterson, and B.W. Warner J. Phys. A: Math. Gen. 36 2003 5431
21. P.G. Kevrekidis, G. Theocharis, D.J. Frantzeskakis, B.A. Malomed, and R. Carretero-González Eur. Phys. J. D: At. Mol. Opt. Phys. 28 2004 181
22. R.J. Ballagh, K. Burnett, and T.F. Scott Phys. Rev. Lett. 78 1997 1607
23. J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland Phys. Rev. A 59 1999 R31
24. P. Öhberg, and S. Stenholm Phys. Rev. A 59 1999 3890
25. M.A. Porter, P.G. Kevrekidis, and B.A. Malomed Physica D 196 2004 106 nlin.CD/0401023
26. For recent work see, e.g. J.W. Fleischer Phys. Rev. Lett. 92 2004 123904
27. D.N. Neshev Phys. Rev. Lett. 92 2004 123903
28. See, e.g. C.J. Myatt Phys. Rev. Lett. 78 1997 586
29. D.S. Hall Phys. Rev. Lett. 81 1998 1539
30. D.M. Stamper-Kurn Phys. Rev. Lett. 80 1998 2027
31. G. Modugno Science 294 2001 1320
32. M. Mudrich Phys. Rev. Lett. 88 2002 253001
33. M. Trippenbach J. Phys. B 33 2000 4017
34. S. Coen, and M. Haelterman Phys. Rev. Lett. 87 2001 140401
35. P. Öhberg, and L. Santos Phys. Rev. Lett. 86 2001 2918
36. Th. Busch, and J.R. Anglin Phys. Rev. Lett. 87 2001 010401
37. For a recent discussion of the various optical applications see, e.g. J. Hudock Phys. Rev. E 67 2003 056618
38. P.G. Kevrekidis Phys. Rev. E 67 2003 036614
39. B.A. Malomed Phys. Rev. E 50 1994 1565