Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear–nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Solitons in PT-symmetric optical lattices with spatially periodic modulation of nonlinearity,” Opt. Commun. 285, 3320–3324 (2012).

[CrossRef]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[CrossRef]

L. Dong, H. Li, C. Huang, S. Zhong, and C. Li, “Higher-charged vortices in mixed linear-nonlinear circular arrays,” Phys. Rev. A 84, 043830 (2011).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).

[CrossRef]

F. Kh. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).

[CrossRef]

D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, “Stability of solitons in PT-symmetric nonlinear potentials,” Europhys. Lett. 96, 64003 (2011).

[CrossRef]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[CrossRef]

S. Hu, X. Ma, D. Lu, Z. Yang, Y. Zheng, and W. Hu, “Solitons supported by complex PT-symmetric Gaussian potentials,” Phys. Rev. A 84, 043818 (2011).

[CrossRef]

H. Wang and J. Wang, “Defect solitons in parity-time periodic potentials,” Opt. Express 19, 4030–4035 (2011).

[CrossRef]

H. C. Huang, Y. J. He, Y. Z. Liu, and H. Z. Wang, “Dynamics and all-optical control of solitons at the interface of optical superlattices with spatially modulated nonlinearity,” Opt. Express 19, 8795–8801 (2011).

[CrossRef]

Z. Lu and Z. Zhang, “Defect solitons in parity-time symmetric superlattices,” Opt. Express 19, 11457–11462 (2011).

[CrossRef]

X. Zhu, H. Wang, L. Zheng, H. Li, and Y. He, “Gap solitons in parity-time complex periodic optical lattices with the real part of superlattics,” Opt. Lett. 36, 2680–2682 (2011).

[CrossRef]

H. Li, Z. Shi, X. Jiang, and X. Zhu, “Gray solitons in parity-time symmetric potentials,” Opt. Lett. 36, 3290–3292 (2011).

[CrossRef]

L. Dong and H. Li, “Surface solitons in nonlinear lattices,” J. Opt. Soc. Am. B 27, 1179–1183 (2010).

[CrossRef]

Y. J. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).

[CrossRef]

K. Zhou, Z. Guo, J. Wang, and S. Liu, “Defect modes in defective parity-time symmetric periodic complex potentials,” Opt. Lett. 35, 2928–2930 (2010).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons in nonlinear lattices,” Opt. Lett. 34, 770–772 (2009).

[CrossRef]

L. Torner and Y. V. Kartashov, “Light bullets in optical tandems,” Opt. Lett. 34, 1129–1131 (2009).

[CrossRef]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Vector solitons in nonlinear lattices,” Opt. Lett. 34, 3625–3627 (2009).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749 (2008).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index,” Opt. Lett. 33, 2173–2175 (2008).

[CrossRef]

K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT-symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic lattices,” Phys. Rev. Lett. 100, 030402 (2008).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

J. Yang and T. I. Lakoba, “Universally-convergent squared-operator iteration methods for solitary in general nonlinear wave equation,” Stud. Appl. Math. 118, 153–197 (2007).

[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, “Theory of coupled optical PT-symmetric structures,” Opt. Lett. 32, 2632–2634 (2007).

[CrossRef]

C. M. Bender and S. Boettcher, “Real spectra in non-Hermitian Hamiltonians having PT symmetry,” Phys. Rev. Lett. 80, 5243–5246 (1998).

[CrossRef]

F. Kh. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).

[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

C. M. Bender and S. Boettcher, “Real spectra in non-Hermitian Hamiltonians having PT symmetry,” Phys. Rev. Lett. 80, 5243–5246 (1998).

[CrossRef]

C. M. Bender and S. Boettcher, “Real spectra in non-Hermitian Hamiltonians having PT symmetry,” Phys. Rev. Lett. 80, 5243–5246 (1998).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear–nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Solitons in PT-symmetric optical lattices with spatially periodic modulation of nonlinearity,” Opt. Commun. 285, 3320–3324 (2012).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic lattices,” Phys. Rev. Lett. 100, 030402 (2008).

[CrossRef]

K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT-symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, “Theory of coupled optical PT-symmetric structures,” Opt. Lett. 32, 2632–2634 (2007).

[CrossRef]

E. A. Ultanir, G. I. Stegeman, and D. N. Christodoulides, “Dissipative photonic lattice soliton,” Opt. Lett. 29, 845–847 (2004).

[CrossRef]

A. Ruschhaupt, F. Delgado, and J. G. Muga, “Physical realization of PT-symmetric potential scattering in a planar slab waveguide,” J. Phys. A 38, L171–L176 (2005).

[CrossRef]

L. Dong, H. Li, C. Huang, S. Zhong, and C. Li, “Higher-charged vortices in mixed linear-nonlinear circular arrays,” Phys. Rev. A 84, 043830 (2011).

[CrossRef]

L. Dong and H. Li, “Surface solitons in nonlinear lattices,” J. Opt. Soc. Am. B 27, 1179–1183 (2010).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

D. Blömer, A. Szameit, F. Dreisow, T. Pertsch, S. Nolte, and A. Tünnermann, “Nonlinear refractive index of fs-laser-written waveguides in fused silica,” Opt. Express 14, 2151–2157(2006).

[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT-symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic lattices,” Phys. Rev. Lett. 100, 030402 (2008).

[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, “Theory of coupled optical PT-symmetric structures,” Opt. Lett. 32, 2632–2634 (2007).

[CrossRef]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear–nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Solitons in PT-symmetric optical lattices with spatially periodic modulation of nonlinearity,” Opt. Commun. 285, 3320–3324 (2012).

[CrossRef]

X. Zhu, H. Wang, L. Zheng, H. Li, and Y. He, “Gap solitons in parity-time complex periodic optical lattices with the real part of superlattics,” Opt. Lett. 36, 2680–2682 (2011).

[CrossRef]

H. C. Huang, Y. J. He, Y. Z. Liu, and H. Z. Wang, “Dynamics and all-optical control of solitons at the interface of optical superlattices with spatially modulated nonlinearity,” Opt. Express 19, 8795–8801 (2011).

[CrossRef]

Y. J. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

Y. J. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).

[CrossRef]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).

[CrossRef]

S. Hu, X. Ma, D. Lu, Z. Yang, Y. Zheng, and W. Hu, “Solitons supported by complex PT-symmetric Gaussian potentials,” Phys. Rev. A 84, 043818 (2011).

[CrossRef]

S. Hu, X. Ma, D. Lu, Z. Yang, Y. Zheng, and W. Hu, “Solitons supported by complex PT-symmetric Gaussian potentials,” Phys. Rev. A 84, 043818 (2011).

[CrossRef]

L. Dong, H. Li, C. Huang, S. Zhong, and C. Li, “Higher-charged vortices in mixed linear-nonlinear circular arrays,” Phys. Rev. A 84, 043830 (2011).

[CrossRef]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[CrossRef]

H. Li, Z. Shi, X. Jiang, and X. Zhu, “Gray solitons in parity-time symmetric potentials,” Opt. Lett. 36, 3290–3292 (2011).

[CrossRef]

F. Kh. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).

[CrossRef]

D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, “Stability of solitons in PT-symmetric nonlinear potentials,” Europhys. Lett. 96, 64003 (2011).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).

[CrossRef]

L. Torner and Y. V. Kartashov, “Light bullets in optical tandems,” Opt. Lett. 34, 1129–1131 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons in nonlinear lattices,” Opt. Lett. 34, 770–772 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).

[CrossRef]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Vector solitons in nonlinear lattices,” Opt. Lett. 34, 3625–3627 (2009).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index,” Opt. Lett. 33, 2173–2175 (2008).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749 (2008).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, “Stability of solitons in PT-symmetric nonlinear potentials,” Europhys. Lett. 96, 64003 (2011).

[CrossRef]

F. Kh. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, “Solitons in PT-symmetric nonlinear lattices,” Phys. Rev. A 83, 041805 (2011).

[CrossRef]

J. Yang and T. I. Lakoba, “Universally-convergent squared-operator iteration methods for solitary in general nonlinear wave equation,” Stud. Appl. Math. 118, 153–197 (2007).

[CrossRef]

L. Dong, H. Li, C. Huang, S. Zhong, and C. Li, “Higher-charged vortices in mixed linear-nonlinear circular arrays,” Phys. Rev. A 84, 043830 (2011).

[CrossRef]

L. Dong, H. Li, C. Huang, S. Zhong, and C. Li, “Higher-charged vortices in mixed linear-nonlinear circular arrays,” Phys. Rev. A 84, 043830 (2011).

[CrossRef]

X. Zhu, H. Wang, L. Zheng, H. Li, and Y. He, “Gap solitons in parity-time complex periodic optical lattices with the real part of superlattics,” Opt. Lett. 36, 2680–2682 (2011).

[CrossRef]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[CrossRef]

H. Li, Z. Shi, X. Jiang, and X. Zhu, “Gray solitons in parity-time symmetric potentials,” Opt. Lett. 36, 3290–3292 (2011).

[CrossRef]

L. Dong and H. Li, “Surface solitons in nonlinear lattices,” J. Opt. Soc. Am. B 27, 1179–1183 (2010).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Solitons in PT-symmetric optical lattices with spatially periodic modulation of nonlinearity,” Opt. Commun. 285, 3320–3324 (2012).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear–nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[CrossRef]

S. Hu, X. Ma, D. Lu, Z. Yang, Y. Zheng, and W. Hu, “Solitons supported by complex PT-symmetric Gaussian potentials,” Phys. Rev. A 84, 043818 (2011).

[CrossRef]

S. Hu, X. Ma, D. Lu, Z. Yang, Y. Zheng, and W. Hu, “Solitons supported by complex PT-symmetric Gaussian potentials,” Phys. Rev. A 84, 043818 (2011).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Beam dynamics in PT-symmetric optical lattices,” Phys. Rev. Lett. 100, 103904 (2008).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic lattices,” Phys. Rev. Lett. 100, 030402 (2008).

[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, “Theory of coupled optical PT-symmetric structures,” Opt. Lett. 32, 2632–2634 (2007).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–305 (2011).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Vector solitons in nonlinear lattices,” Opt. Lett. 34, 3625–3627 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons in nonlinear lattices,” Opt. Lett. 34, 770–772 (2009).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear–nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Solitons in PT-symmetric optical lattices with spatially periodic modulation of nonlinearity,” Opt. Commun. 285, 3320–3324 (2012).

[CrossRef]

Y. J. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).

[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[CrossRef]

A. Ruschhaupt, F. Delgado, and J. G. Muga, “Physical realization of PT-symmetric potential scattering in a planar slab waveguide,” J. Phys. A 38, L171–L176 (2005).

[CrossRef]

Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, “Optical solitons in PT periodic lattices,” Phys. Rev. Lett. 100, 030402 (2008).

[CrossRef]

R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, “Theory of coupled optical PT-symmetric structures,” Opt. Lett. 32, 2632–2634 (2007).

[CrossRef]

M. J. Ablowitz and Z. H. Musslimani, “Spectral renormalization method for computing self-localized solutions to nonlinear system,” Opt. Lett. 30, 2140–2142 (2005).

[CrossRef]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

D. Blömer, A. Szameit, F. Dreisow, T. Pertsch, S. Nolte, and A. Tünnermann, “Nonlinear refractive index of fs-laser-written waveguides in fused silica,” Opt. Express 14, 2151–2157(2006).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

D. Blömer, A. Szameit, F. Dreisow, T. Pertsch, S. Nolte, and A. Tünnermann, “Nonlinear refractive index of fs-laser-written waveguides in fused silica,” Opt. Express 14, 2151–2157(2006).

[CrossRef]

A. Ruschhaupt, F. Delgado, and J. G. Muga, “Physical realization of PT-symmetric potential scattering in a planar slab waveguide,” J. Phys. A 38, L171–L176 (2005).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[CrossRef]

C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, “Observation of parity-time symmetry in optics,” Nat. Phys. 6, 192–195 (2010).

[CrossRef]

R. Shankar, Principles of Quantum Mechanics (Springer, 1994).

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[CrossRef]

H. Li, Z. Shi, X. Jiang, and X. Zhu, “Gray solitons in parity-time symmetric potentials,” Opt. Lett. 36, 3290–3292 (2011).

[CrossRef]

A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103, 093902 (2009).

[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Vector solitons in nonlinear lattices,” Opt. Lett. 34, 3625–3627 (2009).

[CrossRef]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons in nonlinear lattices,” Opt. Lett. 34, 770–772 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).

[CrossRef]

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[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

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[CrossRef]

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[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

D. Blömer, A. Szameit, F. Dreisow, T. Pertsch, S. Nolte, and A. Tünnermann, “Nonlinear refractive index of fs-laser-written waveguides in fused silica,” Opt. Express 14, 2151–2157(2006).

[CrossRef]

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[CrossRef]

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[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Vector solitons in nonlinear lattices,” Opt. Lett. 34, 3625–3627 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons in nonlinear lattices,” Opt. Lett. 34, 770–772 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, “Surface solitons at interfaces of arrays with spatially modulated nonlinearity,” Opt. Lett. 33, 1120–1122 (2008).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749 (2008).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index,” Opt. Lett. 33, 2173–2175 (2008).

[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Vector solitons in nonlinear lattices,” Opt. Lett. 34, 3625–3627 (2009).

[CrossRef]

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[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749 (2008).

[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index,” Opt. Lett. 33, 2173–2175 (2008).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons in nonlinear lattices,” Opt. Lett. 34, 770–772 (2009).

[CrossRef]

L. Torner and Y. V. Kartashov, “Light bullets in optical tandems,” Opt. Lett. 34, 1129–1131 (2009).

[CrossRef]

X. Zhu, H. Wang, L. Zheng, H. Li, and Y. He, “Gap solitons in parity-time complex periodic optical lattices with the real part of superlattics,” Opt. Lett. 36, 2680–2682 (2011).

[CrossRef]

H. Li, Z. Shi, X. Jiang, and X. Zhu, “Gray solitons in parity-time symmetric potentials,” Opt. Lett. 36, 3290–3292 (2011).

[CrossRef]

Y. J. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).

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[CrossRef]

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[CrossRef]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices,” Phys. Rev. A 85, 023822 (2012).

[CrossRef]

Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, “Lattice solitons in PT-symmetric mixed linear–nonlinear optical lattices,” Phys. Rev. A 85, 013831 (2012).

[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).

[CrossRef]

L. Dong, H. Li, C. Huang, S. Zhong, and C. Li, “Higher-charged vortices in mixed linear-nonlinear circular arrays,” Phys. Rev. A 84, 043830 (2011).

[CrossRef]

Z. Shi, X. Jiang, X. Zhu, and H. Li, “Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials,” Phys. Rev. A 84, 053855 (2011).

[CrossRef]

S. Hu, X. Ma, D. Lu, Z. Yang, Y. Zheng, and W. Hu, “Solitons supported by complex PT-symmetric Gaussian potentials,” Phys. Rev. A 84, 043818 (2011).

[CrossRef]

J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, “Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities,” Phys. Rev. Lett. 98, 064102 (2007).

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