Stabilization of one-dimensional solitons against the critical collapse by quintic nonlinear lattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 85, Issue 2, 2012, Pages

  Zeng, Jianhua ^a,b   Malomed, Boris A ^a  

^a TEL AVIV UNIVERSITY   (Israel)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL APPROXIMATION; BOSE-EINSTEIN CONDENSATES; CUBIC NONLINEARITIES; DINGER EQUATION; HIGHER-ORDER SOLITONS; NARROW STRIPE; NON-LINEARITY; NONLINEAR LATTICES; PARAMETER PLANE; QUINTIC; SPATIAL MODULATIONS; STABILITY DIAGRAM; STABILITY REGIONS;

STABILIZATION; STEAM CONDENSERS;

SOLITONS;

EID: 84857536084     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.85.023824     Document Type: Article

References (70)

1. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 2008).
2. C. J. Pethick and H. Smith, Bose-Einstein Condensate in Dilute Gas (Cambridge University Press, Cambridge, 2008).
3. V. A. Brazhnyi and V. V. Konotop, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984904007190 18, 627 (2004); (Pubitemid 40292032)
4. O. Morsch and M. Oberthaler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.179 78, 179 (2006).
5. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, J. Opt. B JOBOFD 1464-4266 10.1088/1464-4266/7/5/R02 7, R53 (2005). (Pubitemid 40665898)
6. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.04.004 463, 1 (2008).
7. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Prog. Opt. 52, 63 (North Holland, Amsterdam, 2009).
8. Y. V. Kartashov, B. A. Malomed, and L. Torner, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.247 83, 247 (2011).
9. L. Bergé, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00092- 6 303, 259 (1998).
10. R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.13.479 13, 479 (1964).
11. V. I. Kruglov, Y. A. Logvin, and V. M. Volkov, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500349214552301 39, 2277 (1992).
12. A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.065603 71, 065603 (R) (2005). (Pubitemid 41663814)
13. B. B. Baizakov, B. A. Malomed, and M. Salerno, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00579-4 63, 642 (2003); (Pubitemid 37089624)
14. B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053613 70, 053613 (2004); (Pubitemid 40072999)
15. J. Yang and Z. H. Musslimani, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.28.002094 28, 2094 (2003).
16. R. Driben and B. A. Malomed, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2008-00239-3 50, 317 (2008).
17. Yu. B. Gaididei, J. Schjodt-Eriksen, and P. L. Christiansen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.4877 60, 4877 (1999).
18. F. Kh. Abdullaev and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033617 72, 033617 (2005); (Pubitemid 41776578)
19. G. L. Alfimov, V. V. Konotop, and P. Pacciani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.023624 75, 023624 (2007). (Pubitemid 46353792)
20. G. S. Agarwal and S. Dutta Gupta, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.5678 38, 5678 (1988);
21. K. Dolgaleva, R. W. Boyd, and J. E. Sipe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.063806 76, 063806 (2007). (Pubitemid 350276578)
22. C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.19.000369 19, 369 (2002);
23. R. A. Ganeev, M. Baba, M. Morita, A. I. Ryasnyansky, M. Suzuki, M. Turu, and H. Kuroda, J. Opt. A JOAOF8 1464-4258 10.1088/1464-4258/6/2/021 6, 282 (2004).
24. E. L. Falcão-Filho, C. B. de Araújo, and J. J. Rodrigues Jr., J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.24.002948 24, 2948 (2007). (Pubitemid 351276749)
25. C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.19.000369 19, 369 (2002);
26. G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(03)01341-5 219, 427 (2003);
27. F. Smektala, C. Quemard, V. Couderc, and A. Barthélémy, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022-3093(00)00215-5 274, 232 (2000);
28. K. Ogusu, J. Yamasaki, S. Maeda, M. Kitao, and M. Minakata, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.29.000265 29, 265 (2004);
29. F. Sanchez, G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, and F. Smektala, J. Nonlinear Opt. Phys. Mater. JNOMFV 0218-8635 10.1142/S0218863504001724 13, 7 (2004). (Pubitemid 40256760)
30. B. Gu, Y. Wang, W. Ji, and J. Wang, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3191668 95, 041114 (2009).
31. I. Towers and B. A. Malomed, J. Opt. Soc. Am. B 0740-3224 10.1364/JOSAB.19.000537 19, 537 (2002).
32. P. F. Bedaque, E. Braaten, and H. W. Hammer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.908 85, 908 (2000);
33. A. Gammal, T. Frederico, L. Tomio, and F.K. Abdullaev, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00114-6 267, 305 (2000);
34. F. Kh. Abdullaev, A. Gammal, L. Tomio, and T. Frederico, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.043604 63, 043604 (2001); (Pubitemid 33727772)
35. E. Braaten, H. W. Hammer, and T. Mehen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.040401 88, 040401 (2002);
36. M. W. Jack, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 140402 89, 140402 (2002);
37. W. Zhang, E. M. Wright, H. Pu, and P. Meystre, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023605 68, 023605 (2003);
38. E. Fersino, G. Mussardo, and A. Trombettoni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.053608 77, 053608 (2008). (Pubitemid 351697456)
39. 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);
40. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043614 65, 043614 (2002);
41. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A 1050-2947 10.1103/PhysRevA.66.043603 66, 043603 (2002);
42. L. D. Carr and J. Brand, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040401 92, 040401 (2004);
43. L. D. Carr and J. Brand, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033607 70, 033607 (2004).
44. L. Khaykovich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023607 74, 023607 (2006).
45. 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. 1 (2003).
46. T. Mayteevarunyoo, B. A. Malomed, and G. Dong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.053601 78, 053601 (2008).
47. H. Sakaguchi and B. A. Malomed, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.046610 72, 046610 (2005). (Pubitemid 41778005)
48. G. Theocharis, P. Schmelcher, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033614 72, 033614 (2005); (Pubitemid 41782083)
49. J. Eggers, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.061605 72, 061605 (R) (2005); (Pubitemid 43272769)
50. Y. Sivan, G. Fibich, and M. I. Weinstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.193902 97, 193902 (2006); (Pubitemid 44730143)
51. Z. Rapti, P. G. Kevrekidis, V. V. Konotop, and C. K. R. T. Jones, J. Phys. A 1751-8113 10.1088/1751-8113/40/47/008 40, 14151 (2007);
52. Y. Kominis and K. Hizanidis, Opt. Exp. 1094-4087 10.1364/OE.16.012124 16, 12124 (2008);
53. L. Salasnich and B. A. Malomed, J. Phys. B: At. Mol. Opt. Phys. 45, in press (2012).
54. S. Ghanbari, T. D. Kieu, A. Sidorov, and P. Hannaford, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/4/009 39, 847 (2006);
55. A. Abdelrahman, P. Hannaford, and K. Alameh, Opt. Express OPEXFF 1094-4087 10.1364/OE.17.024358 17, 24358 (2009).
56. 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). (Pubitemid 47169142)
57. H. Sakaguchi and B. A. Malomed, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.026601 73, 026601 (2006). (Pubitemid 43287676)
58. Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.34.000770 34, 770 (2009).
59. Y. Sivan, G. Fibich, B. Ilan, and M. I. Weinstein, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.046602 78, 046602 (2008);
60. N. V. Hung, P. Ziń, M. Trippenbach, and B. A. Malomed, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.046602 82, 046602 (2010);
61. T. Mayteevarunyoo, B. A. Malomed, and A. Reoksabutr, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340.2011.601329 58, 1977 (2011).
62. J. Cuevas, B. A. Malomed, and P. G. Kevrekidis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.066614 71, 066614 (2005). (Pubitemid 41670407)
63. K. I. Pushkarov, D. I. Pushkarov, and I. V. Tomov, Opt. Quantum Electron. OQELDI 0306-8919 10.1007/BF00620372 11, 471 (1979).
64. D. E. Pelinovsky, Y. S. Kivshar, and V. V. Afanasjev, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)80010-9 116, 121 (1998).
65. B. A. Malomed, Prog. Opt. 43, 71 (North Holland, Amsterdam, 2002).
66. M. Vakhitov and A. Kolokolov, Radiophys. Quantum Electron. RPQEAC 0033-8443 10.1007/BF01031343 16, 783 (1973).
67. W. Bao and Q. Du, SIAM J. Sci. Comput. SJOCE3 1064-8275 10.1137/S1064827503422956 25, 1674 (2004).
68. S. Wuster, B. J. Dbrowska-Wuster, A. S. Bradley, M. J. Davis, P. B. Blakie, J. J. Hope, and C. M. Savage, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.043611 75, 043611 (2007). (Pubitemid 46626854)
69. B. B. Baizakov and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.013602 69, 013602 (2004).
70. Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.34.003625 34, 3625 (2009).