© 2007 Optical Society of America

1. See, for example: T. Dauxois and M. Peyrard, Physics of Solitons (Cambridge University Press, London, 2006).
2. See, for example: J. R. Taylor, Optical Solitons - Theory and Experiment (Cambridge University Press, New York, 1999).
3. See, for example: S. Trillo and W. E. Torruellas, Spatial Solitons (Springer-Verlag, Berlin, 2001).
4. O. Jedrkiewicz, J. Trull, G. Valiulis, A. Piskarskas, C. Conti, S. Trillo, and P. Di Trapani, "Nonlinear X waves in second-harmonic generation: Experimental results," Phys. Rev. E 68,026610 (2003). [CrossRef]
5. P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, "Spontaneously generated X-shaped light bullets," Phys. Rev. Lett. 91,093904 (2003). [CrossRef] [PubMed]
6. J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo,M. Sorel, and J. S. Aitchison, "Beam interactions with a blocker soliton in one-dimensional arrays," Opt. Lett. 30,1027-1029 (2005). [CrossRef] [PubMed]
7. R. Jin, C. L. Chuang, H. M. Gibbs, S.W. Koch, J. N. Polky, and G. A. Pubanz, "Picosecond all-optical switching in single-mode GaAs/AlGaAs strip-loaded nonlinear directional couplers," Appl. Phys. Lett. 53,1792-1793 (1988). [CrossRef]
8. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81,3383-3386 (1988). [CrossRef]
9. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, J. S. Aitchison, "Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays," Phys. Rev. Lett. 91,143907 (2003). [CrossRef] [PubMed]
10. See, for example: J. D. Jackson, Classical Electrodynamics, 3rd edition (JohnWiley and Sons, New York, 1998), pp. 352-366, 378-389.
11. The BPM code is available for free at http://www.freeBPM.com.
12. H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87,043902 (2001). [CrossRef] [PubMed]
13. Y. Linzon, I. Ilsar, D. Cheskis, R. Morandotti, J. S. Aitchison, and S. Bar-Ad, "Near-field imaging of nonlinear pulse propagation in planar silica waveguides," Phys. Rev. E 72,066607 (2005). [CrossRef]
14. J. P. Gordon, "Theory of the soliton self-frequency shift," Opt. Lett. 11,662-664 (1986). [CrossRef] [PubMed]
15. J. A. Giordmaine, "Mixing of light beams in crystals," Phys. Rev. Lett. 8,19-20 (1962). [CrossRef]
16. G. Bartal, O. Manela, and M. Segev, "Spatial four wave mixing in nonlinear periodic structures," Phys. Rev. Lett. 97,073906 (2006). [CrossRef] [PubMed]
17. D. V. Skryabin and A. V. Yulin, "Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers," Phys. Rev. E 72,016619 (2005). [CrossRef]
18. A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, "Interaction of an Optical Soliton with a Dispersive Wave," Phys. Rev. Lett. 95,213902 (2005). [CrossRef] [PubMed]
19. S. Flach, V. Fleurov, A. V. Gorbach, and A. E. Miroshnichenko, "Resonant Light Scattering by Optical Solitons," Phys. Rev. Lett. 95,023901 (2005). [CrossRef] [PubMed]
20. D. Mandelik, Y. Lahini, and Y. Silberberg, "Nonlinearly Induced Relaxation to the Ground State in a Two-Level System," Phys. Rev. Lett. 95,073902 (2005). [CrossRef] [PubMed]
21. A. Avidan, Y. Lahini, D. Mandelik, and Y. Silberberg, "Ground-state selection as a four-wave-mixing process," Phys. Rev. A 73,063811 (2006). [CrossRef]

Appl. Phys. Lett.

• R. Jin, C. L. Chuang, H. M. Gibbs, S.W. Koch, J. N. Polky, and G. A. Pubanz, "Picosecond all-optical switching in single-mode GaAs/AlGaAs strip-loaded nonlinear directional couplers," Appl. Phys. Lett. 53,1792-1793 (1988). [CrossRef]

Opt. Lett.

• J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo,M. Sorel, and J. S. Aitchison, "Beam interactions with a blocker soliton in one-dimensional arrays," Opt. Lett. 30,1027-1029 (2005). [CrossRef] [PubMed]
• J. P. Gordon, "Theory of the soliton self-frequency shift," Opt. Lett. 11,662-664 (1986). [CrossRef] [PubMed]

Phys. Rev. A

• A. Avidan, Y. Lahini, D. Mandelik, and Y. Silberberg, "Ground-state selection as a four-wave-mixing process," Phys. Rev. A 73,063811 (2006). [CrossRef]

Phys. Rev. E

• Y. Linzon, I. Ilsar, D. Cheskis, R. Morandotti, J. S. Aitchison, and S. Bar-Ad, "Near-field imaging of nonlinear pulse propagation in planar silica waveguides," Phys. Rev. E 72,066607 (2005). [CrossRef]
• D. V. Skryabin and A. V. Yulin, "Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers," Phys. Rev. E 72,016619 (2005). [CrossRef]
• O. Jedrkiewicz, J. Trull, G. Valiulis, A. Piskarskas, C. Conti, S. Trillo, and P. Di Trapani, "Nonlinear X waves in second-harmonic generation: Experimental results," Phys. Rev. E 68,026610 (2003). [CrossRef]

Phys. Rev. Lett.

• P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, "Spontaneously generated X-shaped light bullets," Phys. Rev. Lett. 91,093904 (2003). [CrossRef] [PubMed]
• H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81,3383-3386 (1988). [CrossRef]
• J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, J. S. Aitchison, "Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays," Phys. Rev. Lett. 91,143907 (2003). [CrossRef] [PubMed]
• A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, "Interaction of an Optical Soliton with a Dispersive Wave," Phys. Rev. Lett. 95,213902 (2005). [CrossRef] [PubMed]
• S. Flach, V. Fleurov, A. V. Gorbach, and A. E. Miroshnichenko, "Resonant Light Scattering by Optical Solitons," Phys. Rev. Lett. 95,023901 (2005). [CrossRef] [PubMed]
• D. Mandelik, Y. Lahini, and Y. Silberberg, "Nonlinearly Induced Relaxation to the Ground State in a Two-Level System," Phys. Rev. Lett. 95,073902 (2005). [CrossRef] [PubMed]
• J. A. Giordmaine, "Mixing of light beams in crystals," Phys. Rev. Lett. 8,19-20 (1962). [CrossRef]
• G. Bartal, O. Manela, and M. Segev, "Spatial four wave mixing in nonlinear periodic structures," Phys. Rev. Lett. 97,073906 (2006). [CrossRef] [PubMed]
• H. S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J. S. Aitchison, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87,043902 (2001). [CrossRef] [PubMed]

Other

• See, for example: J. D. Jackson, Classical Electrodynamics, 3rd edition (JohnWiley and Sons, New York, 1998), pp. 352-366, 378-389.
• The BPM code is available for free at http://www.freeBPM.com.
• See, for example: T. Dauxois and M. Peyrard, Physics of Solitons (Cambridge University Press, London, 2006).
• See, for example: J. R. Taylor, Optical Solitons - Theory and Experiment (Cambridge University Press, New York, 1999).
• See, for example: S. Trillo and W. E. Torruellas, Spatial Solitons (Springer-Verlag, Berlin, 2001).

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