© 2007 Optical Society of America

1. P. G. Kevrekidis, K. Ø. Rasmussen, and A. R. Bishop, "The Discrete Nonlinear Schrödinger Eauation: a Survey of Recent Results," Int. J. mod. Phys. B 15,2833-2900 (2001). [CrossRef]
2. A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," IEEE J. Quantum Electron. 39,31-50 (2003). [CrossRef]
3. E. Trias, J. J. Mazo, and T. P. Orlando, "Dicrete breathers in nonlinear lattices: experimental detection in Josephson array," Phys. Rev. Lett. 84,741-744 (2000). [CrossRef] [PubMed]
4. U. T. Schwarz, L. Q. English, and A. J. Sievers, "Experimental generation and observation of intrisic localized spin wave modes in an antiferromagnet," Phys. Rev. Lett. 83,223-226 (1999). [CrossRef]
5. P. J. Y. Louis, E. A. Ostrovskaya, and Yu. S. Kivshar, "Dispersion control for matter waves and gap solitons in optical superlattices," J. Opt. B: Quantum Semiclass. Opt. 6,S309-S317 (2004).Q1 [CrossRef]
6. Yu. S. Kivshar and B. Luther-Davies, "Dark optical solitons: physics and applications," Phys. Rep. 298,81-197 (1998). [CrossRef]
7. B. Sanchez-Rey and M. Johansson, "Exact numerical solutions for dark waves on the discrete nonlinear Schr¨odinger equation," Phys. Rev. E 71,036627(2005). [CrossRef]
8. E. Smirnov, C. E. Rüter, M, Stepić, D. Kip, and V. Shandarov, "Formation and light guiding properties of dark solions in one-dimensional waveguide arrays," Phys. Rev. E 74, 065601(R) (2006). [CrossRef]
9. E. P. Fitrakis, P. G. Kevrekidis, H. Susanto, and D. J. Frantzeskakis, "Dark solitons in discrete lattices: Saturable versus cubic nonlinearitis," arXiv:nlin.PS/0608023 (2006).
10. T. R. O. Melvin, A. R. Champneys, P. G. Kevrekidis, and J. Cuevas, "Radiationless traveling waves in saturable nonlinear Schr¨odinger lattices," Phys. Rev. Lett. 97,124101 (2006). [CrossRef] [PubMed]
11. Lj. Hadzievski, A. Maluckov, M. Stepić, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93,033901 (2004). [CrossRef] [PubMed]
12. S. Wiggins, Global Bifurcations and Chaos: Analytical Methods (Springer-Verlag New York Inc., 1988).

IEEE J. Quantum Electron.

• A. A. Sukhorukov, Yu. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," IEEE J. Quantum Electron. 39,31-50 (2003). [CrossRef]

Int. J. mod. Phys. B

• P. G. Kevrekidis, K. Ø. Rasmussen, and A. R. Bishop, "The Discrete Nonlinear Schrödinger Eauation: a Survey of Recent Results," Int. J. mod. Phys. B 15,2833-2900 (2001). [CrossRef]

J. Opt. B: Quantum Semiclass. Opt.

• P. J. Y. Louis, E. A. Ostrovskaya, and Yu. S. Kivshar, "Dispersion control for matter waves and gap solitons in optical superlattices," J. Opt. B: Quantum Semiclass. Opt. 6,S309-S317 (2004).Q1 [CrossRef]

Phys. Rep.

• Yu. S. Kivshar and B. Luther-Davies, "Dark optical solitons: physics and applications," Phys. Rep. 298,81-197 (1998). [CrossRef]

Phys. Rev. E

• B. Sanchez-Rey and M. Johansson, "Exact numerical solutions for dark waves on the discrete nonlinear Schr¨odinger equation," Phys. Rev. E 71,036627(2005). [CrossRef]

Phys. Rev. Lett.

• E. Trias, J. J. Mazo, and T. P. Orlando, "Dicrete breathers in nonlinear lattices: experimental detection in Josephson array," Phys. Rev. Lett. 84,741-744 (2000). [CrossRef] [PubMed]
• U. T. Schwarz, L. Q. English, and A. J. Sievers, "Experimental generation and observation of intrisic localized spin wave modes in an antiferromagnet," Phys. Rev. Lett. 83,223-226 (1999). [CrossRef]
• T. R. O. Melvin, A. R. Champneys, P. G. Kevrekidis, and J. Cuevas, "Radiationless traveling waves in saturable nonlinear Schr¨odinger lattices," Phys. Rev. Lett. 97,124101 (2006). [CrossRef] [PubMed]
• Lj. Hadzievski, A. Maluckov, M. Stepić, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93,033901 (2004). [CrossRef] [PubMed]

Other

• S. Wiggins, Global Bifurcations and Chaos: Analytical Methods (Springer-Verlag New York Inc., 1988).
• E. Smirnov, C. E. Rüter, M, Stepić, D. Kip, and V. Shandarov, "Formation and light guiding properties of dark solions in one-dimensional waveguide arrays," Phys. Rev. E 74, 065601(R) (2006). [CrossRef]
• E. P. Fitrakis, P. G. Kevrekidis, H. Susanto, and D. J. Frantzeskakis, "Dark solitons in discrete lattices: Saturable versus cubic nonlinearitis," arXiv:nlin.PS/0608023 (2006).

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