Similarity solutions and collapse in the attractive Gross-Pitaevskii equation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 5, 2000, Pages 6224-6228

  Rybin, A V ^a   Varzugin, G G ^b   Lindberg, M ^c   Timonen, J ^a   Bullough, R K ^d  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^c ÅBO AKADEMI UNIVERSITY   (Finland)

^d UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTICLE SIZE ANALYSIS;

BOSE-EINSTEIN CONDENSATION; GROSS-PITAEVSKII EQUATION; NONLINEAR SCHRODINGER EQUATION (NLS);

HIGH ENERGY PHYSICS;

EID: 0034315392     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.6224     Document Type: Article

References (21)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995).
2. C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
3. M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, and W. Ketterle, Phys. Rev. Lett. 77, 416 (1996).
4. J. R. Ensher, D. S. Jin, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 77, 4984 (1996).
5. J. W. Kane and L. P. Kadanoff, Phys. Rev. 155, 80 (1967).
6. N. M. Bogoliubov, R. K. Bullough, V. S. Kapitonov, C. Malyshev, and J. Timonen (unpublished).
7. A. I. Safonov, S. A. Vasilyev, I. S. Yasnikov, I. I. Lukashevich, and S. Jaakkola, Phys. Rev. Lett. 81, 4545 (1998).
8. A. I. Safonov, S. A. Vasilyev, I. S. Yasnikov, I. I. Lukashevich, and S. Jaakkola, J. Low Temp. Phys. 113, 201 (1998).
9. V. E. Zakharov and V. S. Synakh, Zh. Éksp. Teor. Fiz. 68, 940 (1975) [Sov. Phys. JETP 41, 465 (1976)].
10. T. Tsurumi and M. Wadati, J. Phys. Soc. Jpn. 67, 1197 (1998).
11. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
12. T. Tsurumi and M. Wadati, J. Phys. Soc. Jpn. 66, 3031 (1997)
13. J. Phys. Soc. Jpn.T. TsurumiM. Wadati66, 3035 (1997)
14. M. Wadati and T. Tsurumi, Phys. Lett. A 247, 287 (1998)
15. L. Bergé, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. A 62, 023607 (2000).
16. J. Tempere, F. Brosens, L. F. Lemmens, and J. T. Devreese, Phys. Rev. A 61, 043 605 (2000).
17. J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).
18. K. Rypdal, J. J. Rasmussen, and K. Thomsen, Physica D 16, 339 (1985).
19. As we have discovered for (Formula presented), the deformation of the NLS equation induced by the variable spectral parameter (Formula presented) leads to the change of independent variables Eqs. (28), and dependent variables Eq. (29). For the linear harmonic oscillator this transformation has already been used by U. Niederer, Helv. Phys. Acta 46, 191 (1973).
20. V. M. Perez-Garcia, H. Michinel, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. 77, 5320 (1996)
21. V. M. Perez-Garcia, H. Michinel, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. A 56, 1424 (1997).