Nonautonomous solitons of Bose-Einstein condensation in a linear potential with an arbitrary time-dependence

Optics Communications

Volumn 282, Issue 8, 2009, Pages 1676-1680

  Li, Qiu Yan ^a   Li, Zai Dong ^a   Wang, Shu Xin ^a   Song, Wei Wei ^a   Fu, Guangsheng ^a  

^a HEBEI UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Bose Einstein condensation; Hirota method; Interaction; Nonautonomous soliton solution

Indexed keywords

ASYMPTOTIC ANALYSIS; BOSE-EINSTEIN CONDENSATION; FERMI LEVEL; SOLITONS;

ARBITRARY TIME; ASYMPTOTIC BEHAVIOURS; HIROTA METHOD; INTERACTION; LINEAR POTENTIALS; MEAN-FIELD MODELS; NONAUTONOMOUS SOLITON SOLUTION; QUASI ONE-DIMENSIONAL; REPULSIVE INTERACTIONS; TIME-DEPENDENT POTENTIALS;

CONDENSATION;

EID: 60749092824     PISSN: 00304018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.optcom.2009.01.004     Document Type: Article

References (51)

1. Zabusky N.J., and Kruskal M.D. Phys. Rev. Lett. 15 (1965) 240
2. Hasegawa A., and Tappert F. Appl. Phys. Lett. 23 (1973) 142
3. Mollenauer L.F., Stolen R.H., and Gordon J.P. Phys. Rev. Lett. 45 (1980) 1095
4. Serkin V.N., and Hasegawa A. Phys. Rev. Lett. 85 (2000) 4502
5. Serkin V.N., et al. JETP Lett. 74 (2000) 573
6. Serkin V.N. JETP Lett. 72 (2000) 89
7. Serkin V.N., et al. IEEE J. Quantum Electron. 8 (2002) 418
8. Serkin V.N., Hasegawa A., and Belyaeva T.L. Phys. Rev. Lett. 98 (2007) 074102
9. Wu L., Zhang J.-F., Li L., Finot C., and Porsezian K. Phys. Rev. A 78 (2008) 053807
10. Li L., Zhao X., and Xu Z. Phys. Rev. A 78 (2008) 063833
11. Wu L., Li L., and Zhang J.-F. Phys. Rev. A 78 (2008) 013838
12. Chen H.H., and Liu C.S. Phys. Rev. Lett. 37 (1976) 693
13. Chen H.H., and Liu C.S. Phys. Fluids 21 (1978) 377
14. Konotop V.V. Phys. Rev. E 47 (1993) 1423
15. Konotop V.V., Chubykalo O.A., and Vá zquez L. Phys. Rev. E 48 (1993) 563
16. Konotop V.V. Theor. Math. Phys. 99 (1994) 687
17. Anderson M.H., Ensher J.R., Matthews M.R., Wieman C.E., and Cornell E.A. Science 269 (1995) 198
18. Davis K.B., Mewes M.-O., Andrews M.R., van Druten N.J., Durfee D.S., Kurn D.M., and Ketterle W. Phys. Rev. Lett. 75 (1995) 3969
19. Bradley C.C., Sackett C.A., Tollett J.J., and Hulet R.G. Phys. Rev. Lett. 75 (1995) 1687
20. Bradley C.C., Sackett C.A., Tollett J.J., and Hulet R.G. Phys. Rev. Lett. 78 (1997) 985
21. Fried D.G., Killian T.C., Willmann L., Landhuis D., Moss S.C., Kleppner D., and Greytak T.J. Phys. Rev. Lett. 81 (1998) 3811
22. Donnely R.J. Quantized Vortices in Helium II (1991), Cambridge University Press, Cambridge
23. Matthews M.R., Anderson B.P., Haljan P.C., Hall D.S., Wieman C.E., and Cornell E.A. Phys. Rev. Lett. 83 (1999) 2498
24. Fetter A.L., and Svidzinsky A.A. J. Phys.: Condens. Matter. 13 (2001) R135
25. Kivshar Y.S., and Luther-Davies B. Phys. Rep. 298 (1998) 81
26. Ruprecht P.A., Holland M.J., Burnett K., and Edwards M. Phys. Rev. A 51 (1995) 4704
27. Zhang W., Walls D.F., and Sanders B.C. Phys. Rev. Lett. 72 (1994) 60
28. Reinhardt W.P., and Clark C.W. J. Phys. B 30 (1997) L785
29. Jackson A.D., Kavoulakis G.M., and Pethick C.J. Phys. Rev. A 58 (1998) 2417
30. Muryshev A.E., van Linden van den Heuvell H.B., and Shlyapnikov G.V. Phys. Rev. A 60 (1999) R2665
31. Carr L.D., Leung M.A., and Reinhardt W.P. J. Phys. B 33 (2000) 3983
32. Denschlag J., et al. Science 287 (2000) 97
33. Bronski J.C., Carr L.D., Deconinck B., and Kutz J.N. Phys. Rev. Lett. 86 (2001) 1402
34. Carr L.D., Clark C.W., and Reinhardt W.P. Phys. Rev. A 62 (2000) 063610
35. Carr L.D., Clark C.W., and Reinhardt W.P. Phys. Rev. A 62 (2000) 063611
36. Feder D.L., et al. Phys. Rev. A 62 (2000) 053606
37. Strecker K.E., Partridge G.B., Truscott A.G., and Hulet R.G. Nature (London) 417 (2002) 150
38. Khaykovich L., Schreck F., Ferrari G., Bourdel T., Cubizolles J., Carr L.D., Castin Y., and Salomon C. Science 296 (2002) 1290
39. Al Khawaja U., Stoof H.T.C., Hulet R.G., Strecker K.E., and Partridge G.B. Phys. Rev. Lett. 89 (2002) 200404
40. Dum R., Cirac J.I., Lewenstein M., and Zoller P. Phys. Rev. Lett. 80 (1998) 2972
41. Burger S., Bongs K., Dettmer S., Ertmer W., and Sengstock K. Phys. Rev. Lett. 83 (1999) 5198
42. Wang S.-J., Jia C.-L., Zhao D., Luo H.-G., and An J.-H. Phys. Rev. A 68 (2003) 015601
43. Li Z.-D., He P.B., Li L., Liang J.-Q., and Liu W.M. Phys. Rev. A 71 (2005) 053611
44. Li L., Li Z., Malomed B.A., Mihalache D., and Liu W.M. Phys. Rev. A 72 (2005) 033611
45. Li Q.Y., Xie Z.W., Li L., Li Z.D., and Liang J.Q. Ann. Phys. 312 (2004) 128
46. Gö rlitz A., Vogels J.M., Leanhardt A.E., Raman C., Gustavson T.L., and Abo-Shaeer J.R. Phys. Rev. Lett. 87 (2001) 130402
47. Dettmer S., et al. Phys. Rev. Lett. 87 (2001) 160406
48. Petrov D.S., Shlyapnikov G.V., and Walraven J.T.M. Phys. Rev. Lett. 85 (2000) 3745
49. Yang Q., and Zhang J.-f. Opt. Commun. 258 (2006) 35
50. Li Z.-D., Li Q.-Y., Hu X.-H., Zheng Z.-X., and Sun Y. Ann. Phys. (NY) 322 (2007) 2545
51. Hirota R. J. Phys. Soc. Jpn. 51 (1982) 323