Spectral renormalization method for computing self-localized solutions to nonlinear systems

Optics Letters

Volumn 30, Issue 16, 2005, Pages 2140-2142

  Ablowitz, Mark J ^a   Musslimani, Ziad H ^b  

^a UNIVERSITY OF COLORADO   (United States)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER SPACE; INTEGRAL EQUATION; SELF-LOCALIZED STATES; SPECTRAL RENORMALIZATION;

COMPUTATIONAL METHODS; FOURIER TRANSFORMS; ITERATIVE METHODS; NONLINEAR SYSTEMS; OPTICS; SOLITONS; SPECTRUM ANALYSIS; WAVE EQUATIONS;

WAVEGUIDES;

EID: 24344438633     PISSN: 01469592     EISSN: None     Source Type: Journal    
DOI: 10.1364/OL.30.002140     Document Type: Article

References (21)

1. G. Stegeman and M. Segev, Science 286, 1518 (1999).
2. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
3. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Elsevier, 2001).
4. A. W. Snyder, D. J. Mitchell, L. Polodian, and F. Ladouceur, Opt. Lett. 16, 21 (1991).
5. M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
6. O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 91, 113901 (2003).
7. V. I. Petviashvili, Sov. J. Plasma Phys. 2, 257 (1976).
8. B. B. Kadomtsev and V. I. Petviashvili, Sov. Phys. Dokl. 15, 539 (1970).
9. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Industrial and Applied Mathematics, 1981).
10. M. J. Ablowitz and G. Biondini, Opt. Lett. 23, 1668 (1998)
11. M. J. Ablowitz and Z. H. Musslimani, Phys. Rev. Lett. 87, 254102 (2001).
12. M. J. Ablowitz and Z. H. Musslimani, Physica D 184, 276 (2003).
13. M. J. Ablowitz and Z. H. Musslimani, Phys. Rev. E 67, 025601(R) (2003).
14. Z. H. Musslimani and J. Yang, J. Opt. Soc. Am. B 21, 973 (2004).
15. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
16. N. K. Efremidis, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. 91, 213906 (2003).
17. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, Opt. Lett. 29, 1530 (2004).
18. T. Peschel, U. Peschel, and F. Lederer, Phys. Rev. E 57, 1127 (1998).
19. S. Darmanyan, A. Kobyakov, and F. Lederer, Phys. Rev. E 57, 2344 (1998).
20. R. Iwanow, R. Schiek, G. I. Stegeman, T. Peitsch, F. Lederer, Y. Min, and W. Sohler, Phys. Rev. Lett. 93, 113902 (2004).
21. Z. Xu, Y. V. Kartashov, L. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. E 71, 016616 (2005).