Discrete breathers in two-dimensional anisotropic nonlinear Schrödinger lattices

Physica D: Nonlinear Phenomena

Volumn 216, Issue 1 SPEC. ISS., 2006, Pages 31-43

  Gomez Gardenes J ^a   Floria L M ^a   Bishop, A R ^b  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Collapse phenomena; Discrete breathers; Intrinsic localized modes; Nonlinear Schr dinger lattices

Indexed keywords

ANISOTROPY; NONLINEAR EQUATIONS; PROBLEM SOLVING; WAVE PROPAGATION;

BREATHER MOBILITY; PLANE WAVES; SCHRODINGER LATTICES;

WAVE EQUATIONS;

EID: 33748271311     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.12.017     Document Type: Article

References (54)

1. Scott A.C. Nonlinear Science: Emergence and Dynamics Structures (1999), Oxford University Press, Oxford
2. Mackay R.S., and Aubry S. Nonlinearity 7 (1994) 1623
3. Eilbeck J.C., and Johansson M. In: Vázquez L., MacKay R.S., and Zorzano M.P. (Eds). Proceedings of Localization and Energy Transfer in Nonlinear Systems (2003), World Scientific, Singapore 44
4. Kevrekidis P.G., Rasmussen K.Ø., and Bishop A.R. Int. J. Mod. Phys. B 15 (2001) 2833
5. Christodoulides D.N., and Joseph R.I. Opt. Lett. 13 (1988) 794
6. Aceves A.B., et al. Opt. Lett. 19 (1994) 332
7. Aceves A.B., et al. Phys. Rev. E 53 (1996) 1172
8. Eisemberg H., et al. Phys. Rev. Lett. 81 (1998) 3383
9. Morandotti R., et al. Phys. Rev. Lett. 83 (1999) 2726
10. Kevrekidis P.G., Rasmussen K.Ø., and Bishop A.R. Phys. Rev. E 61 (2000) 2006
11. Kevrekidis P.G., Rasmussen K.Ø., and Bishop A.R. Phys. Rev. E 61 (2000) 4652
12. Malomed B.A., and Kevrekidis P.G. Phys. Rev. E 64 (2001) 026601
13. Flach S., Kladko K., and MacKay R.S. Phys. Rev. Lett. 78 (1997) 1207
14. Weinstein M.I. Nonlinearity 12 (1999) 673
15. Kastner M. Phys. Rev. Lett. 92 (2004) 104301
16. Kastner M. Nonlinearity 17 (2004) 1923
17. Kalosakas G., Rasmussen K.Ø., and Bishop A.R. Phys. Rev. Lett. 89 (2002) 030402
18. Mezentsev V.K., Musher S.L., Ryzhenkova I.V., and Turitsyn S.K. JETP Lett. 60 (1994) 829
19. Laedke E.W., Spatschek K.H., and Turitsyn S.K. Phys. Rev. Lett. 73 (1994) 1055
20. Laedke E.W., et al. JETP Lett. 62 (1995) 677
21. Rasmussen J.J., and Rypdal K. Phys. Scripta 33 (1986) 481
22. Christiansen P.L., et al. Phys. Rev. B 54 (1996) 900
23. Christiansen P.L., et al. Phys. Scripta 67 (1996) 160
24. Efremidis N.K., et al. Phys. Rev. E 66 (2002) 046602
25. Fleisher J., et al. Phys. Rev. Lett. 90 (2003) 023902
26. Fleisher J., et al. Nature 422 (2003) 147
27. Gómez-Gardeñes J., Falo F., and Floría L.M. Phys. Lett. A 332 (2004) 213
28. Gómez-Gardeñes J., Floría L.M., Peyrard M., and Bishop A.R. Chaos 14 (2004) 1130
29. Ablowitz M.J., Musslimani Z.H., and Biondini G. Phys. Rev. E 65 (2002) 026602
30. Sire Y., and James G. Physica D 204 (2005) 15
31. James G., and Sire Y. Commun. Math. Phys. 257 (2005) 51
32. Marín J.L., and Aubry S. Nonlinearity 9 (1996) 1501
33. J.L. Marín, Ph.D. Dissertation, University of Zaragoza, 1997
34. Aubry S., and Cretegny T. Physica D 119 (1998) 34
35. Flach S., and Kladko K. Physica D 127 (1999) 61
36. Sánchez-Brey B., and Johansson M. Phys. Rev. E 71 (2005) 036627
37. Ablowitz M.J., and Ladik J.F. Stud. Appl. Math. 55 (1976) 213
38. Ablowitz M.J., and Ladik J.F. J. Math. Phys. 17 (1976) 1011
39. Salerno M. Phys. Rev. A 46 (1992) 6856
40. Feddersen H. In: Remoissenet M., and Peyrard M. (Eds). Nonlinear Coherent Structures in Physics and Biology. Lecture Notes in Physics vol. 393 (1991), Springer-Verlag, Berlin 159
41. Aubry S. In: Godréche C. (Ed). Structures et Instabilitiés (1985), Editions de Physique, Les Ulis, France
42. Cheskis D., et al. HAIT J. Sci. Eng. 1 (2004) 363
43. T. Peschel, F. Lederer, in: D.B. Duncan and J.C. Eilbeck (Eds.) Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology. Published on WWW http://www.ma.hw.ac.uk/solitons/procs/
44. Strang G. Linear Algebra. second ed. (1980), Academic, New York
45. Cretegny T., and Aubry S. Phys. Rev. B 55 (1997) R11929
46. Th. Cretegny, Ph.D. Dissertation, ENS Lyon, 1998
47. J. Gómez-Gardeñes, Ph.D. Dissertation, University of Zaragoza, 2006 (In preparation)
48. J. Cuevas, private communication, 2005
49. Chen D., Aubry S., and Tsironis G.P. Phys. Rev. Lett. 77 (1996) 4776
50. Marín J.L., et al. Phys. Rev. E 63 (2001) 066603
51. Martínez P.J., et al. Chaos 13 (2003) 610
52. Meister M., and Floría L.M. Eur. Phys. J. B 37 (2004) 213-221
53. M. Oster, Master Thesis, Linköping University, 2002
54. Christodoulides D.N., and Eugenieva E.D. Phys. Rev. Lett. 87 (2001) 233901