Arresting soliton collapse in two-dimensional nonlinear Schrödinger systems via spatiotemporal modulation of the external potential

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 1, 2007, Pages

  Staliunas, Kestutis ^a   Herrero, Ramon ^a   De Valcárcel, Germán J ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC POTENTIAL; LIGHT MODULATION; SOLITONS; WAVE EQUATIONS;

DYNAMICAL PROPERTIES; SCALING LAWS; SCHRÖDINGER SYSTEMS; SUBDIFFRACTIVE SOLITONS;

NONLINEAR SYSTEMS;

EID: 33846385938     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.011604     Document Type: Article

References (17)

1. E. A. Kuznetsov A. M. Rubenchik, and V. E. Zakharov, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(86)90016-5 142, 103 (1986);
2. K. Rypdal and J. J. Rasmussen, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/40/2/008 40, 192 (1989);
3. L. Bergé, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00092- 6 303, 259 (1998);
4. Y. S. Kivshar and D. E. Pelinovsky, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00106-4 331, 117 (2000).
5. N. Akhmediev and A. Ankiewicz, Solitons, Nonlinear Pulses and Beams (Chapman & Hall, London, 1997);
6. Kh. I. Pushkarov and D. I. Pushkarov, Rep. Math. Phys. RMHPBE 0034-4877 17, 37 (1980).
7. N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 213906 91, 213906 (2003).
8. V. Zharnitsky, E. Grenier, C. K. R. T. Jones, and S. K. Turitsyn, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00213-5 152, 794 (2001);
9. F. Kh. Abdullaev, B. B. Baizakov, and M. Salerno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.066605 68, 066605 (2003).
10. O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046619 66, 046619 (2002).
11. K. Staliunas and R. Herrero, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.016601 73, 016601 (2006).
12. K. Staliunas, R. Herrero, and G. J. de Valcárcel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.065603 73, 065603 (R) (2006).
13. V. I. Karpman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.R1336 53, R1336 (1996);
14. V. I. Karpman and A. G. Shagalov, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00078-6 144, 194 (2000).
15. M. G. Vakhitov and A. A. Kolokolov, Sov. Radiophys. SORPAK 0097-1545 16, 1020 (1973)
16. M. G. Vakhitov and A. A. Kolokolov, [Radiophys. Quantum Electron. RPQEAC 0033-8443 10.1007/BF01031343. 16, 783 (1973)].
17. C. M. de Sterke, D. G. Salinas, and J. E. Sipe, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.1969 54, 1969 (1996).