Y. He and D. Mihalache, “Lattice solitons in optical media described by the complex Ginzburg-Landau model with 𝒫𝒯 -symmetric periodic potentials,” Phys. Rev. A 87, 013812 (2013).

[Crossref]

L. Chen, R. Li, N. Yang, D. Chen, and L. Li, “Optical modes in PT-symmetric double-channel waveguides,” Proc. Romanian Acad. A 13, 46–54 (2012).

Y. He and D. Mihalache, “Spatial solitons in parity-time-symmetric mixed linear-nonlinear optical lattices: Recent theoretical results,” Rom. Rep. Phys. 64, 1243–1258 (2012).

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “𝒫𝒯-symmetric electronics,” J. Phys. A 45, 444029 (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]

S. Hu, X. Ma, D. Lu, Y. Zheng, and W. Hu, “Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity,” Phys. Rev. A 85, 043826 (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. 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]

C. Li, H. Liu, and L. Dong, “Multi-stable solitons in PT-symmetric optical lattices,” Opt. Express 20, 16823–16831 (2012).

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

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

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]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–306 (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]

F. K. 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. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, “Experimental study of active LRC circuits with 𝒫𝒯 symmetries,” Phys. Rev. A 84, 040101 (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. 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]
[PubMed]

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]
[PubMed]

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]
[PubMed]

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]
[PubMed]

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

[Crossref]
[PubMed]

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]
[PubMed]

M. Trippenbach, E. Infeld, J. Gocalek, M. Matuszewski, M. Oberthaler, and B. A. Malomed, “Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps,” Phys. Rev. A 78, 013603 (2008).

[Crossref]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1 – 126 (2008).

[Crossref]

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

[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Packing, unpacking, and steering of multicolor solitons in opticallattices,” Opt. Lett. 29, 1399–1401 (2004).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831–2837 (2004).

[Crossref]
[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature (London) 422, 147–150 (2003).

[Crossref]

B. Bagchi, C. Quesne, and M. Znojil, “Generalized continuity equation and modified normalization
in PT-dymmetric quantum mechanics,” Mod. Phys. Lett. 16, 2047–2057 (2001).

[Crossref]

N. G. Vakhitov and A. A. Kolokolov, “Stationary solutions of the wave equation in a medium with nonlinearity saturation,” Izv. Vyssh. Uchebn. Zaved., Radiofiz. 16, 783–789 (1973).

F. K. 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]
[PubMed]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1 – 126 (2008).

[Crossref]

B. Bagchi, C. Quesne, and M. Znojil, “Generalized continuity equation and modified normalization
in PT-dymmetric quantum mechanics,” Mod. Phys. Lett. 16, 2047–2057 (2001).

[Crossref]

N. Bender, S. Factor, J. D. Bodyfelt, H. Ramezani, F. M. Ellis, and T. Kottos, “Observation of asymmetric transport in structures with
active nonlinearities,” ArXiv e-prints (2013).

N. Bender, S. Factor, J. D. Bodyfelt, H. Ramezani, F. M. Ellis, and T. Kottos, “Observation of asymmetric transport in structures with
active nonlinearities,” ArXiv e-prints (2013).

L. Chen, R. Li, N. Yang, D. Chen, and L. Li, “Optical modes in PT-symmetric double-channel waveguides,” Proc. Romanian Acad. A 13, 46–54 (2012).

L. Chen, R. Li, N. Yang, D. Chen, and L. Li, “Optical modes in PT-symmetric double-channel waveguides,” Proc. Romanian Acad. A 13, 46–54 (2012).

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]
[PubMed]

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

[Crossref]
[PubMed]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1 – 126 (2008).

[Crossref]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature (London) 422, 147–150 (2003).

[Crossref]

C. Li, H. Liu, and L. Dong, “Multi-stable solitons in PT-symmetric optical lattices,” Opt. Express 20, 16823–16831 (2012).

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]

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]
[PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature (London) 422, 147–150 (2003).

[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]

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

[Crossref]
[PubMed]

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “𝒫𝒯-symmetric electronics,” J. Phys. A 45, 444029 (2012).

[Crossref]

J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, “Experimental study of active LRC circuits with 𝒫𝒯 symmetries,” Phys. Rev. A 84, 040101 (2011).

[Crossref]

N. Bender, S. Factor, J. D. Bodyfelt, H. Ramezani, F. M. Ellis, and T. Kottos, “Observation of asymmetric transport in structures with
active nonlinearities,” ArXiv e-prints (2013).

N. Bender, S. Factor, J. D. Bodyfelt, H. Ramezani, F. M. Ellis, and T. Kottos, “Observation of asymmetric transport in structures with
active nonlinearities,” ArXiv e-prints (2013).

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature (London) 422, 147–150 (2003).

[Crossref]

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

[Crossref]

M. Trippenbach, E. Infeld, J. Gocalek, M. Matuszewski, M. Oberthaler, and B. A. Malomed, “Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps,” Phys. Rev. A 78, 013603 (2008).

[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]
[PubMed]

Y. He and D. Mihalache, “Lattice solitons in optical media described by the complex Ginzburg-Landau model with 𝒫𝒯 -symmetric periodic potentials,” Phys. Rev. A 87, 013812 (2013).

[Crossref]

Y. He and D. Mihalache, “Spatial solitons in parity-time-symmetric mixed linear-nonlinear optical lattices: Recent theoretical results,” Rom. Rep. Phys. 64, 1243–1258 (2012).

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. Hu, X. Ma, D. Lu, Y. Zheng, and W. Hu, “Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity,” Phys. Rev. A 85, 043826 (2012).

[Crossref]

S. Hu, X. Ma, D. Lu, Y. Zheng, and W. Hu, “Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity,” Phys. Rev. A 85, 043826 (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]

M. Trippenbach, E. Infeld, J. Gocalek, M. Matuszewski, M. Oberthaler, and B. A. Malomed, “Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps,” Phys. Rev. A 78, 013603 (2008).

[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]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–306 (2011).

[Crossref]

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

[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]
[PubMed]

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]
[PubMed]

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]
[PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media,” Opt. Lett. 30, 3171–3173 (2005).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Packing, unpacking, and steering of multicolor solitons in opticallattices,” Opt. Lett. 29, 1399–1401 (2004).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831–2837 (2004).

[Crossref]
[PubMed]

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]

N. G. Vakhitov and A. A. Kolokolov, “Stationary solutions of the wave equation in a medium with nonlinearity saturation,” Izv. Vyssh. Uchebn. Zaved., Radiofiz. 16, 783–789 (1973).

F. K. 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. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “𝒫𝒯-symmetric electronics,” J. Phys. A 45, 444029 (2012).

[Crossref]

J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, “Experimental study of active LRC circuits with 𝒫𝒯 symmetries,” Phys. Rev. A 84, 040101 (2011).

[Crossref]

N. Bender, S. Factor, J. D. Bodyfelt, H. Ramezani, F. M. Ellis, and T. Kottos, “Observation of asymmetric transport in structures with
active nonlinearities,” ArXiv e-prints (2013).

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

[Crossref]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1 – 126 (2008).

[Crossref]

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “𝒫𝒯-symmetric electronics,” J. Phys. A 45, 444029 (2012).

[Crossref]

J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, “Experimental study of active LRC circuits with 𝒫𝒯 symmetries,” Phys. Rev. A 84, 040101 (2011).

[Crossref]

C. Li, H. Liu, and L. Dong, “Multi-stable solitons in PT-symmetric optical lattices,” Opt. Express 20, 16823–16831 (2012).

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]

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]

L. Chen, R. Li, N. Yang, D. Chen, and L. Li, “Optical modes in PT-symmetric double-channel waveguides,” Proc. Romanian Acad. A 13, 46–54 (2012).

L. Chen, R. Li, N. Yang, D. Chen, and L. Li, “Optical modes in PT-symmetric double-channel waveguides,” Proc. Romanian Acad. A 13, 46–54 (2012).

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “𝒫𝒯-symmetric electronics,” J. Phys. A 45, 444029 (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. 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. Hu, X. Ma, D. Lu, Y. Zheng, and W. Hu, “Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity,” Phys. Rev. A 85, 043826 (2012).

[Crossref]

S. Hu, X. Ma, D. Lu, Y. Zheng, and W. Hu, “Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity,” Phys. Rev. A 85, 043826 (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]

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

[Crossref]
[PubMed]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–306 (2011).

[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]
[PubMed]

M. Trippenbach, E. Infeld, J. Gocalek, M. Matuszewski, M. Oberthaler, and B. A. Malomed, “Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps,” Phys. Rev. A 78, 013603 (2008).

[Crossref]

M. Trippenbach, E. Infeld, J. Gocalek, M. Matuszewski, M. Oberthaler, and B. A. Malomed, “Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps,” Phys. Rev. A 78, 013603 (2008).

[Crossref]

Y. He and D. Mihalache, “Lattice solitons in optical media described by the complex Ginzburg-Landau model with 𝒫𝒯 -symmetric periodic potentials,” Phys. Rev. A 87, 013812 (2013).

[Crossref]

Y. He and D. Mihalache, “Spatial solitons in parity-time-symmetric mixed linear-nonlinear optical lattices: Recent theoretical results,” Rom. Rep. Phys. 64, 1243–1258 (2012).

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]

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]
[PubMed]

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

[Crossref]
[PubMed]

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

[Crossref]

M. Trippenbach, E. Infeld, J. Gocalek, M. Matuszewski, M. Oberthaler, and B. A. Malomed, “Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps,” Phys. Rev. A 78, 013603 (2008).

[Crossref]

B. Bagchi, C. Quesne, and M. Znojil, “Generalized continuity equation and modified normalization
in PT-dymmetric quantum mechanics,” Mod. Phys. Lett. 16, 2047–2057 (2001).

[Crossref]

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “𝒫𝒯-symmetric electronics,” J. Phys. A 45, 444029 (2012).

[Crossref]

N. Bender, S. Factor, J. D. Bodyfelt, H. Ramezani, F. M. Ellis, and T. Kottos, “Observation of asymmetric transport in structures with
active nonlinearities,” ArXiv e-prints (2013).

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]
[PubMed]

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “𝒫𝒯-symmetric electronics,” J. Phys. A 45, 444029 (2012).

[Crossref]

J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, “Experimental study of active LRC circuits with 𝒫𝒯 symmetries,” Phys. Rev. A 84, 040101 (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]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1 – 126 (2008).

[Crossref]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature (London) 422, 147–150 (2003).

[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]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1 – 126 (2008).

[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]
[PubMed]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1 – 126 (2008).

[Crossref]

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–306 (2011).

[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]
[PubMed]

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]
[PubMed]

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]
[PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media,” Opt. Lett. 30, 3171–3173 (2005).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Packing, unpacking, and steering of multicolor solitons in opticallattices,” Opt. Lett. 29, 1399–1401 (2004).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831–2837 (2004).

[Crossref]
[PubMed]

M. Trippenbach, E. Infeld, J. Gocalek, M. Matuszewski, M. Oberthaler, and B. A. Malomed, “Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps,” Phys. Rev. A 78, 013603 (2008).

[Crossref]

N. G. Vakhitov and A. A. Kolokolov, “Stationary solutions of the wave equation in a medium with nonlinearity saturation,” Izv. Vyssh. Uchebn. Zaved., Radiofiz. 16, 783–789 (1973).

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]
[PubMed]

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]
[PubMed]

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]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831–2837 (2004).

[Crossref]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Packing, unpacking, and steering of multicolor solitons in opticallattices,” Opt. Lett. 29, 1399–1401 (2004).

[Crossref]
[PubMed]

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

[Crossref]

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

[Crossref]

L. Chen, R. Li, N. Yang, D. Chen, and L. Li, “Optical modes in PT-symmetric double-channel waveguides,” Proc. Romanian Acad. A 13, 46–54 (2012).

F. K. 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. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, “Experimental study of active LRC circuits with 𝒫𝒯 symmetries,” Phys. Rev. A 84, 040101 (2011).

[Crossref]

S. Hu, X. Ma, D. Lu, Y. Zheng, and W. Hu, “Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity,” Phys. Rev. A 85, 043826 (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. 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]

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]

B. Bagchi, C. Quesne, and M. Znojil, “Generalized continuity equation and modified normalization
in PT-dymmetric quantum mechanics,” Mod. Phys. Lett. 16, 2047–2057 (2001).

[Crossref]

N. G. Vakhitov and A. A. Kolokolov, “Stationary solutions of the wave equation in a medium with nonlinearity saturation,” Izv. Vyssh. Uchebn. Zaved., Radiofiz. 16, 783–789 (1973).

J. Schindler, Z. Lin, J. M. Lee, H. Ramezani, F. M. Ellis, and T. Kottos, “𝒫𝒯-symmetric electronics,” J. Phys. A 45, 444029 (2012).

[Crossref]

B. Bagchi, C. Quesne, and M. Znojil, “Generalized continuity equation and modified normalization
in PT-dymmetric quantum mechanics,” Mod. Phys. Lett. 16, 2047–2057 (2001).

[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]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature (London) 422, 147–150 (2003).

[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. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831–2837 (2004).

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

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]
[PubMed]

C. Li, H. Liu, and L. Dong, “Multi-stable solitons in PT-symmetric optical lattices,” Opt. Express 20, 16823–16831 (2012).

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]
[PubMed]

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]
[PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media,” Opt. Lett. 30, 3171–3173 (2005).

[Crossref]
[PubMed]

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]
[PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Packing, unpacking, and steering of multicolor solitons in opticallattices,” Opt. Lett. 29, 1399–1401 (2004).

[Crossref]
[PubMed]

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1 – 126 (2008).

[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]

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

[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 and D. Mihalache, “Lattice solitons in optical media described by the complex Ginzburg-Landau model with 𝒫𝒯 -symmetric periodic potentials,” Phys. Rev. A 87, 013812 (2013).

[Crossref]

J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, “Experimental study of active LRC circuits with 𝒫𝒯 symmetries,” Phys. Rev. A 84, 040101 (2011).

[Crossref]

M. Trippenbach, E. Infeld, J. Gocalek, M. Matuszewski, M. Oberthaler, and B. A. Malomed, “Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps,” Phys. Rev. A 78, 013603 (2008).

[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, Y. Zheng, and W. Hu, “Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity,” Phys. Rev. A 85, 043826 (2012).

[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]

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

[Crossref]
[PubMed]

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]
[PubMed]

L. Chen, R. Li, N. Yang, D. Chen, and L. Li, “Optical modes in PT-symmetric double-channel waveguides,” Proc. Romanian Acad. A 13, 46–54 (2012).

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83, 247–306 (2011).

[Crossref]

Y. He and D. Mihalache, “Spatial solitons in parity-time-symmetric mixed linear-nonlinear optical lattices: Recent theoretical results,” Rom. Rep. Phys. 64, 1243–1258 (2012).

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

[Crossref]

N. Bender, S. Factor, J. D. Bodyfelt, H. Ramezani, F. M. Ellis, and T. Kottos, “Observation of asymmetric transport in structures with
active nonlinearities,” ArXiv e-prints (2013).