Beam stabilization in the two-dimensional nonlinear Schrödinger equation with an attractive potential by beam splitting and radiation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 4 2, 2004, Pages

  Lemesurier, Brenton John ^a   Christiansen, Peter Leth ^b   Gaididei, Yuri B ^c   Rasmussen, Jens Juul ^b  

^a School of Business   (United States)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; LASER APPLICATIONS; LATTICE CONSTANTS; MAGNETIC MATERIALS; NANOSTRUCTURED MATERIALS; PHONONS; REFRACTIVE INDEX;

BOSE-EINSTEIN CONDENSATES (BEC); LASER PROPAGATION; NONLINEAR FOCUSING EFFECT; RADIATION LOSSES;

QUANTUM OPTICS;

EID: 41349118338     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.046614     Document Type: Article

References (20)

1. Y. B. Gaididei, K. Ø. Rasmussen, and P. L. Christiansen, Phys. Rev. E 52, 2951 (1995).
2. L. Pitaevskii, Sov. Phys. JETP 13, 451 (1961).
3. S. O. Demokritov, B. Hillebrands, and A. N. Slavin, Phys. Rep. 348, 441 (2001).
4. B. J. LeMesurier and P. L. Christiansen, Physica D 184, 226 (2003).
5. P. L. Christiansen, Y. B. Gaididei, and B. J. LeMesurier, in Proceedings of "Localization and Energy Transfer in Nonlinear Systems, " edited by L. Vázquez, R. S. MacKay, and M. P. Zorzano (World Scientific, Singapore, 2003), pp. 28-43.
6. Y. B. Gaididei, J. Schjødt-Eriksen, and P. L. Christiansen, Phys. Rev. E 60, 4877 (1999).
7. J. Schjødt-Eriksen, Y. B. Gaididei, and P. L. Christiansen, Phys. Rev. E 64, 066614 (2001).
8. B. J. LeMesurier, Math. Comput. Simul. 55, 503 (2001).
9. J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).
10. J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 498 (1986).
11. C. Sulem and P.-L. Sulem, The Nonlinear Schrödinger Equation: Self-focusing and Wave Collapse (Springer, Berlin, 1999).
12. L. Bergé, Phys. Plasmas 4, 1227 (1997).
13. L. Bergé, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. A 62, 023607 (2000).
14. L. Pitaevskii, Phys. Lett. A 221, 14 (1996).
15. T. Tsurumi and M. Wadati, J. Phys. Soc. Jpn. 68, 1531 (1999).
16. H. Rose and M. Weinstein, Physica D 30, 207 (1988).
17. M. J. Landman, G. C. Papanicolaou, C. Sulem, and P.-L. Sulem, Phys. Rev. A 38, 3837 (1988).
18. G. Luther, A. Newell, and J. V. Moloney, Physica D 74, 59 (1994).
19. G. Fibich, V. M. Malkin, and G. C. Papanicolaou, Phys. Rev. A 52, 4218 (1995).
20. G. Fibich and G. C. Papanicolaou, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 60, 183 (1999).