Solitons in the discrete nonpolynomial Schrödinger equation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 1, 2008, Pages

  Maluckov, Aleksandra ^a   Hadžievski, Ljupčo ^b   Malomed, Boris A ^c   Salasnich, Luca ^d  

^a UNIVERSITY OF NI   (Serbia)

^b UNIVERSITY OF BELGRADE   (Serbia)

^c TEL AVIV UNIVERSITY   (Israel)

^d UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; CONTROL NONLINEARITIES; CONTROL THEORY; KETONES; MILITARY DATA PROCESSING; NONLINEAR EQUATIONS; STEAM CONDENSERS;

AMERICAN PHYSICAL SOCIETY (APS); AXIAL DIRECTIONS; BOSE-EINSTEIN CONDENSATE (BEC); CIGAR-SHAPED TRAP; COLLAPSE (DRYING); CONTINUUM MEDIUM; DINGER EQUATION; DISCRETE MODELING; DISCRETE SOLITONS; DISCRETIZATION; GAP SOLITONS; INTRINSIC NONLINEARITY; LOCALIZED MODES; ONE-DIMENSIONAL; OPTICAL LATTICES;

SOLITONS;

EID: 47749126617     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.013616     Document Type: Article

References (60)

1. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature NATUAS 0028-0836 10.1038/nature747 417, 150 (2002)
2. see also K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/373 5, 73 (2003).
3. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science SCIEAS 0036-8075 10.1126/science. 1071021 296, 1290 (2002).
4. M. Ueda and K. Huang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60. 3317 60, 3317 (1999)
5. L. Santos, and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.011602 66, 011602 (R) (2002)
6. C. M. Savage, N. P. Robins, and J. J. Hope, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.014304 67, 014304 (2003).
7. S. L. Cornish, S. T. Thompson, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170401 96, 170401 (2006).
8. V. M. Pérez-García, H. Michinel, and H. Herrero, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.3837 57, 3837 (1998).
9. L. Salasnich, Laser Phys. 12, 198 (2002) 1054-660X
10. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043614 65, 043614 (2002)
11. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043603 66, 043603 (2002).
12. A. E. Muryshev, G. V. Shlyapnikov, W. Ertmer, K. Sengstock, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.110401 89, 110401 (2002).
13. S. Sinha, A. Y. Cherny, D. Kovrizhin, and J. Brand, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.030406 96, 030406 (2006).
14. L. Khaykovich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023607 74, 023607 (2006).
15. L. Salasnich, A. Parola, and L. Reatto, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/12/017 39, 2839 (2006)
16. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.031603 74, 031603 (R) (2006)
17. A. Parola, L. Salasnich, R. Rota, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.063612 72, 063612 (2005)
18. L. Salasnich, A. Cetoli, B. A. Malomed, F. Toigo, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.013623 76, 013623 (2007)
19. L. Salasnich, B. A. Malomed, and F. Toigo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.063614 76, 063614 (2007).
20. L. Salasnich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053610 74, 053610 (2006).
21. L. Salasnich, A. Cetoli, B. A. Malomed, and F. Toigo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.033622 75, 033622 (2007).
22. S. De Nicola, B. A. Malomed, and R. Fedele, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.07.062 360, 164 (2006)
23. S. De Nicola, R. Fedele, D. Jovanovic, B. Malomed, M. A. Man'ko, V. I. Man'ko, and P. K. Shukla, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006- 00418-0 54, 113 (2006).
24. A. Muñoz Mateo and V. Delgado, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.013617 77, 013617 (2008).
25. G. Barontini and M. Modugno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.041601 76, 041601 (R) (2007).
26. O. Morsch and M. Oberthaler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.179 78, 179 (2006).
27. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2353 86, 2353 (2001)
28. F. Kh. Abdullaev, B. B. Baizakov, S. A. Darmanyan, V. V. Konotop, and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.043606 64, 043606 (2001)
29. G. L. Alfimov, P. G. Kevrekidis, V. V. Konotop, and M. Salerno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046608 66, 046608 (2002)
30. R. Carretero-González and K. Promislow, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.033610 66, 033610 (2002)
31. N. K. Efremidis and D. N. Christodoulides, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.063608 67, 063608 (2003).
32. M. A. Porter, R. Carretero-González, P. G. Kevrekidis, and B. A. Malomed, Chaos CHAOEH 1054-1500 10.1063/1.1858114 15, 015115 (2005).
33. P. G. Kevrekidis, K. Ø. Rasmussen, and A. R. Bishop, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979201007105 15, 2833 (2001).
34. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
35. R. Carretero-González, J. D. Talley, C. Chong, and B. A. Malomed, Physica D PDNPDT 0167-2789 10.1016/j.physd.2006.01.022 216, 77 (2006).
36. A. Maluckov, L. Hadievski, and B. A. Malomed, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.77.036604 77, 036604 (2008).
37. A. Maluckov, L. Hadievski, and B. A. Malomed, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.046605 76, 046605 (2007).
38. V. O. Vinetskii and N. V. Kukhtarev, Sov. Phys. Solid State SPSSA7 0038-5654 16, 2414 (1975).
39. M. Stepić, D. Kip, L. Hadievski, and A. Maluckov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066618 69, 066618 (2004)
40. L. Hadievski, A. Maluckov, M. Stepić, and D. Kip, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.033901 93, 033901 (2004)
41. A. Khare, K. Ø. Rasmussen, M. R. Samuelsen, and A. Saxena, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/4/002 38, 807 (2005).
42. T. R. O. Melvin, A. R. Champneys, P. G. Kevrekidis, and J. Cuevas, Physica D PDNPDT 0167-2789 237, 551 (2008).
43. R. A. Vicencio and M. Johansson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.046602 73, 046602 (2006)
44. M. ster, M. Johansson, and A. Eriksson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.056606 67, 056606 (2003).
45. F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, Opt. Express OPEXFF 1094-4087 10.1364/OPEX.13.004314 13, 4314 (2005).
46. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran 77-The Art of Scientific Computing, 3rd ed. (Cambridge University Press, Cambridge, 2007).
47. M. G. Vakhitov and A. A. Kolokolov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. IVYRAY 0021-3462 16, 1020 (1973)
48. [M. G. Vakhitov and A. A. Kolokolov, Radiophys. Quantum Electron. RPQEAC 0033-8443 10.1007/BF01031343 16, 783 (1973)].
49. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.1172 53, 1172 (1996).
50. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
51. M. J. Ablowitz, Z. H. Musslimani, and G. Biondini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.026602 65, 026602 (2002)
52. I. E. Papacharalampous, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.046604 68, 046604 (2003).
53. J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.093903 93, 093903 (2004)
54. J. Meier, G. I. Stegeman, D. N. Christodoulides, R. Morandotti, M. Sorel, H. Yang, G. Salamo, J. S. Aitchison, and Y. Silberberg, Opt. Express OPEXFF 1094-4087 10.1364/OPEX.13.001797 13, 1797 (2005)
55. Y. Linzon, Y. Sivan, B. Malomed, M. Zaezjev, R. Morandotti, and S. Bar-Ad, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.193901 97, 193901 (2006).
56. Yu. S. Kivshar and D. K. Campbell, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevB.48.3077 48, 3077 (1993).
57. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.2726 83, 2726 (1999).
58. T. R. O. Melvin, A. R. Champneys, P. G. Kevrekidis, and J. Cuevas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.124101 97, 124101 (2006).
59. S. Aubry, Physica D PDNPDT 0167-2789 10.1016/0167-2789(83)90129-X 7, 240 (1983).
60. A. Maluckov, L. Hadievski, and M. Stepić, Physica D PDNPDT 0167-2789 10.1016/j.physd.2005.12.011 216, 95 (2006).