Integrability of the Gross-Pitaevskii equation with Feshbach resonance management

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

Volumn 372, Issue 35, 2008, Pages 5644-5650

  Zhao, Dun ^a   Luo, Hong Gang ^a,b   Chai, Hua Yue ^a  

^a LANZHOU UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Bose Einstein condensate; Feshbach resonance; Gross Pitaevskii equation; Integrability; Nonautonomous soliton; WTC test

Indexed keywords

BOSE-EINSTEIN CONDENSATION; OFFICE BUILDINGS; RESONANCE; SOLITONS; STATISTICAL MECHANICS;

BOSE-EINSTEIN CONDENSATES; FESHBACH RESONANCES; GROSS-PITAEVSKII EQUATION; INTEGRABILITY; NONAUTONOMOUS;

NONLINEAR EQUATIONS;

EID: 50949120705     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.07.013     Document Type: Article

References (37)

1. Anderson N.H., et al. Science 269 (1995) 198
2. Dalfovo F., et al. Rev. Mod. Phys. 71 (1999) 463
3. Gross E.P. Nuovo Cimento 20 (1961) 454
4. Pitaevskii L.P. Sov. Phys. JETP 13 (1961) 451
5. Pelinovsky D.E., Kevrekidis P.G., and Frantzeskakis D.J. Phys. Rev. Lett. 91 (2003) 240201
6. Kevrekidis P.G., et al. Phys. Rev. Lett. 90 (2003) 230401
7. Abdullaev F.Kh., et al. Phys. Rev. Lett. 90 (2003) 230402
8. Abdullaev F.Kh., and Garnier J. Phys. Rev. A 70 (2004) 053604
9. Brazhnyi V.A., and Konotop V.V. Mod. Phys. Lett. B 18 (2004) 627
10. Sakaguchi H., and Malomed B.A. Phys. Rev. E 70 (2004) 066613
11. Liang Z.X., Zhang Z.D., and Liu W.M. Phys. Rev. Lett. 94 (2005) 050402
12. Yuce C., and Kilic A. Phys. Rev. A 74 (2006) 033609
13. Roberts J.L., et al. Phys. Rev. Lett. 81 (1998) 5109
14. Stenger J., et al. Phys. Rev. Lett. 82 (1999) 2422
15. Serkin V.N., and Hasegawa A. Phys. Rev. Lett. 85 (2000) 4502
16. Serkin V.N., and Hasegawa A. IEEE J. Select. Topics Quantum Electron. 8 (2002) 418
17. Zabusky N.J., and Kruskal M.D. Phys. Rev. Lett. 15 (1965) 240
18. Chen H.H., and Liu C.S. Phys. Rev. Lett. 37 (1976) 693
19. Chen H.H., and Liu C.S. Phys. Fluids 21 (1978) 377
20. Konotop V.V. Phys. Rev. E 47 (1993) 1423
21. Konotop V.V., Chubykalo O.A., and Vazques L. Phys. Rev. E 48 (1993) 563
22. Konotop V.V. Theor. Math. Phys. 99 (1994) 687
23. Serkin V.N., Hasegawa A., and Belyaeva T.L. Phys. Rev. Lett. 98 (2007) 074102
24. Gardner C.S., Greene J.M., Kruskal M.D., and Miura R.M. Phys. Rev. Lett. 19 (1976) 1095
25. Weiss J., Tabor M., and Carnevale G. J. Math. Phys. 24 (1983) 522
26. Ablowitz M.J., and Segur H. Solitons and the Inverse Scattering Transform. Society for Industrial and Applied Mathematics (1981), SIAM, Philadelphia
27. Zhao D., et al. Chaos Solitons Fractals 24 (2005) 533
28. Perez-Garcia V.M., Torres P.J., and Konotop V.V. Physica D 221 (2006) 31
29. Belmonte-Beitia J., Perez-Garcia V.M., Vekslerchik V., and Konotop V.V. Phys. Rev. Lett. 100 (2008) 164102
30. Tenorio C.H., et al. Quantum Electron. 35 (2005) 929
31. Ablowitz M.J., and Clarkson P.A. Solitons, Nonlinear Evolution Equations and Inverse Scattering (1991), Cambridge Univ. Press
32. Zakharov V.E., and Shabat A.B. Sov. Phys. JETP 34 (1972) 62
33. Zakharov V.E., and Shabat A.B. Sov. Phys. JETP 37 (1973) 823
34. Satsuma J., and Yajima N. Suppl. Prog. Theor. Phys. 55 (1974) 284
35. Novikov S.P., et al. Theory of Solitons: The Inverse Scattering Method (1984), Plenum Press, New York
36. Blow K.J., and Doran N.J. Phys. Lett. A 107 (1985) 55
37. Mihanache D., Lederer F., and Baboiu D.M. Phys. Rev. A 47 (1993) 3285