C. Huang and L. Dong, “Stable vortex solitons in a ring-shaped partially-𝒫𝒯-symmetric potential,” Opt. Lett. 41, 5194–5197 (2016).

[Crossref]
[PubMed]

J. Yang and S. Nixon, “Stability of soliton families in nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials,” Phys. Lett. A 380, 3803–3809 (2016).

[Crossref]

S. Nixon and J. Yang, “All-real spectra in optical systems with arbitrary gain-and-loss distributions,” Phys. Rev. A 93, 031802 (2016).

[Crossref]

V. V. Konotop, J. Yang, and D. A. Zezyulin, “Nonlinear waves in 𝒫𝒯-symmetric systems,” Rev. Mod. Phys. 88, 035002 (2016).

[Crossref]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological states in partially-𝒫𝒯-symmetric azimuthal potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[Crossref]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “𝒫𝒯 symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39, 5443–5446 (2014).

[Crossref]

J. Yang, “Partially 𝒫𝒯 symmetric optical potentials with all-real spectra and soliton families in multidimensions,” Opt. Lett. 39, 1133–1136 (2014).

[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]

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]

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. E. Miroshnichenko, B. A. Malomed, and Y. S. Kivshar, “Nonlinearly 𝒫𝒯-symmetric systems: Spontaneous symmetry breaking and transmission resonances,” Phys. Rev. A 84, 012123 (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 (2010).

[Crossref]

S. Longhi, “Bloch oscillations in complex crystals with 𝒫𝒯 symmetry,” Phys. Rev. Lett. 103, 123601 (2009).

[Crossref]

A. Guo, G. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. Siviloglou, and D. 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 potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[Crossref]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Gap solitons on a ring,” Opt. Lett. 33, 2949–2951 (2008).

[Crossref]
[PubMed]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52 (2007).

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

C. M. Bender, S. Boettcher, and P. N. Meisinger, “𝒫𝒯-symmetric quantum mechanics,” J. Math. Phys. 40, 2201–2229 (1999).

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

[Crossref]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52 (2007).

[Crossref]
[PubMed]

C. M. Bender, S. Boettcher, and P. N. Meisinger, “𝒫𝒯-symmetric quantum mechanics,” J. Math. Phys. 40, 2201–2229 (1999).

[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, S. Boettcher, and P. N. Meisinger, “𝒫𝒯-symmetric quantum mechanics,” J. Math. Phys. 40, 2201–2229 (1999).

[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, “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]

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

[Crossref]

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

[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 (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]

A. Guo, G. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. Siviloglou, and D. 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 (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]

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

[Crossref]
[PubMed]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52 (2007).

[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]

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

[Crossref]

X. Zhu and Y. He, “Vector solitons in nonparity-time-symmetric complex potentials,” Opt. Express 26, 26511–26519 (2018).

[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, 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. Huang and L. Dong, “Stable vortex solitons in a ring-shaped partially-𝒫𝒯-symmetric potential,” Opt. Lett. 41, 5194–5197 (2016).

[Crossref]
[PubMed]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “𝒫𝒯 symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39, 5443–5446 (2014).

[Crossref]

C. Huang, C. Li, and L. Dong, “Stabilization of multipole-mode solitons in mixed linear-nonlinear lattices with a 𝒫𝒯 symmetry,” Opt. Express 21, 3917–3925 (2013).

[Crossref]
[PubMed]

Y. V. Kartashov and V. A. Vysloukh, “Edge and bulk dissipative solitons in modulated 𝒫𝒯-symmetric waveguide arrays,” Opt. Lett. 44, 791–794 (2019).

[Crossref]
[PubMed]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological states in partially-𝒫𝒯-symmetric azimuthal potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[Crossref]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “𝒫𝒯 symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39, 5443–5446 (2014).

[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, “Gap solitons on a ring,” Opt. Lett. 33, 2949–2951 (2008).

[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 (2010).

[Crossref]

A. E. Miroshnichenko, B. A. Malomed, and Y. S. Kivshar, “Nonlinearly 𝒫𝒯-symmetric systems: Spontaneous symmetry breaking and transmission resonances,” Phys. Rev. A 84, 012123 (2011).

[Crossref]

V. V. Konotop, J. Yang, and D. A. Zezyulin, “Nonlinear waves in 𝒫𝒯-symmetric systems,” Rev. Mod. Phys. 88, 035002 (2016).

[Crossref]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological states in partially-𝒫𝒯-symmetric azimuthal potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[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. 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. Longhi, “Bloch oscillations in complex crystals with 𝒫𝒯 symmetry,” Phys. Rev. Lett. 103, 123601 (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 (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]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “𝒫𝒯 symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39, 5443–5446 (2014).

[Crossref]

A. E. Miroshnichenko, B. A. Malomed, and Y. S. Kivshar, “Nonlinearly 𝒫𝒯-symmetric systems: Spontaneous symmetry breaking and transmission resonances,” Phys. Rev. A 84, 012123 (2011).

[Crossref]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Gap solitons on a ring,” Opt. Lett. 33, 2949–2951 (2008).

[Crossref]
[PubMed]

C. M. Bender, S. Boettcher, and P. N. Meisinger, “𝒫𝒯-symmetric quantum mechanics,” J. Math. Phys. 40, 2201–2229 (1999).

[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, 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]

A. E. Miroshnichenko, B. A. Malomed, and Y. S. Kivshar, “Nonlinearly 𝒫𝒯-symmetric systems: Spontaneous symmetry breaking and transmission resonances,” Phys. Rev. A 84, 012123 (2011).

[Crossref]

A. Guo, G. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. Siviloglou, and D. 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 potentials,” Phys. Rev. Lett. 100, 030402 (2008).

[Crossref]

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

[Crossref]
[PubMed]

S. Nixon and J. Yang, “All-real spectra in optical systems with arbitrary gain-and-loss distributions,” Phys. Rev. A 93, 031802 (2016).

[Crossref]

J. Yang and S. Nixon, “Stability of soliton families in nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials,” Phys. Lett. A 380, 3803–3809 (2016).

[Crossref]

S. Nixon, L. Ge, and J. Yang, “Stability analysis for solitons in 𝒫𝒯-symmetric optical lattices,” Phys. Rev. A 85, 023822 (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 (2010).

[Crossref]

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

[Crossref]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52 (2007).

[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 (2010).

[Crossref]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52 (2007).

[Crossref]
[PubMed]

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

[Crossref]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological states in partially-𝒫𝒯-symmetric azimuthal potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[Crossref]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Gap solitons on a ring,” Opt. Lett. 33, 2949–2951 (2008).

[Crossref]
[PubMed]

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

[Crossref]

J. Yang, “Classes of non-parity-time-symmetric optical potentials with exceptional-point-free phase transitions,” Opt. Lett. 42, 4067–4070 (2017).

[Crossref]
[PubMed]

S. Nixon and J. Yang, “All-real spectra in optical systems with arbitrary gain-and-loss distributions,” Phys. Rev. A 93, 031802 (2016).

[Crossref]

J. Yang and S. Nixon, “Stability of soliton families in nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials,” Phys. Lett. A 380, 3803–3809 (2016).

[Crossref]

V. V. Konotop, J. Yang, and D. A. Zezyulin, “Nonlinear waves in 𝒫𝒯-symmetric systems,” Rev. Mod. Phys. 88, 035002 (2016).

[Crossref]

J. Yang, “Partially 𝒫𝒯 symmetric optical potentials with all-real spectra and soliton families in multidimensions,” Opt. Lett. 39, 1133–1136 (2014).

[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, Nonlinear waves in integrable and nonintegrable systems (SIAM, 2010).

[Crossref]

V. V. Konotop, J. Yang, and D. A. Zezyulin, “Nonlinear waves in 𝒫𝒯-symmetric systems,” Rev. Mod. Phys. 88, 035002 (2016).

[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]

X. Zhu and Y. He, “Vector solitons in nonparity-time-symmetric complex potentials,” Opt. Express 26, 26511–26519 (2018).

[Crossref]
[PubMed]

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. M. Bender, S. Boettcher, and P. N. Meisinger, “𝒫𝒯-symmetric quantum mechanics,” J. Math. Phys. 40, 2201–2229 (1999).

[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 (2010).

[Crossref]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52 (2007).

[Crossref]
[PubMed]

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 and V. A. Vysloukh, “Edge and bulk dissipative solitons in modulated 𝒫𝒯-symmetric waveguide arrays,” Opt. Lett. 44, 791–794 (2019).

[Crossref]
[PubMed]

J. Yang, “Partially 𝒫𝒯 symmetric optical potentials with all-real spectra and soliton families in multidimensions,” Opt. Lett. 39, 1133–1136 (2014).

[Crossref]
[PubMed]

C. Huang, F. Ye, Y. V. Kartashov, B. A. Malomed, and X. Chen, “𝒫𝒯 symmetry in optics beyond the paraxial approximation,” Opt. Lett. 39, 5443–5446 (2014).

[Crossref]

C. Huang and L. Dong, “Stable vortex solitons in a ring-shaped partially-𝒫𝒯-symmetric potential,” Opt. Lett. 41, 5194–5197 (2016).

[Crossref]
[PubMed]

J. Yang, “Classes of non-parity-time-symmetric optical potentials with exceptional-point-free phase transitions,” Opt. Lett. 42, 4067–4070 (2017).

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Gap solitons on a ring,” Opt. Lett. 33, 2949–2951 (2008).

[Crossref]
[PubMed]

J. Yang and S. Nixon, “Stability of soliton families in nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials,” Phys. Lett. A 380, 3803–3809 (2016).

[Crossref]

S. Nixon and J. Yang, “All-real spectra in optical systems with arbitrary gain-and-loss distributions,” Phys. Rev. A 93, 031802 (2016).

[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]

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. E. Miroshnichenko, B. A. Malomed, and Y. S. Kivshar, “Nonlinearly 𝒫𝒯-symmetric systems: Spontaneous symmetry breaking and transmission resonances,” Phys. Rev. A 84, 012123 (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, 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. Longhi, “Bloch oscillations in complex crystals with 𝒫𝒯 symmetry,” Phys. Rev. Lett. 103, 123601 (2009).

[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]

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

[Crossref]

Y. V. Kartashov, V. V. Konotop, and L. Torner, “Topological states in partially-𝒫𝒯-symmetric azimuthal potentials,” Phys. Rev. Lett. 115, 193902 (2015).

[Crossref]

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

[Crossref]

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