Y. J. He, H. Z. Wang, and B. A. Malomed, “Fusion of
necklace-ring patterns into vortex and fundamental solitons in dissipative
media,” Opt. Express 15(26), 17502–17508
(2007).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability limits for three-dimensional vortex solitons
in the Ginzburg–Landau equation with the cubic-quintic
nonlinearity,” Phys. Rev. A 76(4), 045803 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability of dissipative optical solitons in the
three-dimensional cubic-quintic Ginzburg–Landau
equation,” Phys. Rev. A 75(3), 033811 (2007).

[CrossRef]

Y. J. He, H. H. Fan, J. W. Dong, and H. Z. Wang,
“Self-trapped spatiotemporal necklace-ring solitons in the
Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter
Phys. 74(1 Pt 2), 016611 (2006).

[CrossRef]
[PubMed]

J. Burke and E. Knobloch, “Localized states in the
generalized Swift-Hohenberg equation,” Phys. Rev. E Stat. Nonlin.
Soft Matter Phys. 73(5 Pt 2), 056211 (2006).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C.
Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in
the three-dimensional cubic-quintic Ginzburg-Landau equation,”
Phys. Rev. Lett. 97(7), 073904 (2006).

[CrossRef]
[PubMed]

J. M. Soto-Crespo, P. Grelu, and N. Akhmediev,
“Optical bullets and ‘rockets’ in nonlinear
dissipative systems and their transformations and interactions,”
Opt. Express 14(9), 4013–4025 (2006).

[CrossRef]
[PubMed]

N. Akhmediev and A. Ankiewicz, “Dissipative
solitons in the complex Ginzburg–Landau and
Swift–Hohenberg equations,” Lect. Notes Phys. 661,
1–17 (2005).

[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F.
Lederer, and L. Torner, “Soliton clusters in three-dimensional
media with competing cubic and quintic nonlinearities,” J. Opt. B
Quantum Semiclassical Opt. 6(5), S333–S340
(2004).

[CrossRef]

L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, and
V. M. Pérez-García, “Soliton
“molecules”: robust clusters of spatiotemporal optical
solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4 Pt
2), 046610 (2003).

[CrossRef]
[PubMed]

K.-I. Maruno, A. Ankiewicz, and N. Akhmediev,
“Exact soliton solutions of the one-dimensional complex
Swift–Hohenberg equation,” Physica D 176(1-2),
44–66 (2003).

[CrossRef]

J. M. Soto-Crespo and N. Akhmediev, “Composite
solitons and two-pulse generation in passively mode-locked lasers modeled by
the complex quintic Swift-Hohenberg equation,” Phys. Rev. E Stat.
Nonlin. Soft Matter Phys. 66(6 Pt 2), 066610 (2002).

[CrossRef]

J. Buceta, K. Lindenberg, and J. M. R. Parrondo,
“Stationary and oscillatory spatial patterns induced by global
periodic switching,” Phys. Rev. Lett. 88(2), 024103
(2002).

[CrossRef]
[PubMed]

A. G. Vladimirov, J. M. McSloy, D. V. Skryabin, and W. J.
Firth, “Two-dimensional clusters of solitary structures in driven
optical cavities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.
65(44 Pt 2B), 046606 (2002).

[CrossRef]
[PubMed]

D. V. Skryabin and A. G. Vladimirov, “Vortex
induced rotation of clusters of localized states in the complex
Ginzburg-Landau equation,” Phys. Rev. Lett. 89(4), 044101
(2002).

[CrossRef]
[PubMed]

I. S. Aranson and L. Kramer, “The world of the
complex Ginzburg–Landau equation,” Rev. Mod. Phys.
74(1), 99–143 (2002).

[CrossRef]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache,
“Stable vortex solitons in the two-dimensional
Ginzburg–Landau equation,” Phys. Rev. E Stat. Phys.
Plasmas Fluids Relat. Interdiscip. Topics 63(1), 016605
(2001).

[CrossRef]

M. Tlidi, “Three-dimensional crystals and localized
structures in diffractive and dispersive nonlinear ring
cavities,” J. Opt. B Quantum Semiclassical Opt. 2(3),
438–442 (2000).

[CrossRef]

M. Tlidi and P. Mandel, “Three-dimensional optical
crystals and localized structures in cavity second harmonic
generation,” Phys. Rev. Lett. 83(24), 4995–4998
(1999).

[CrossRef]

V. J. Sánchez-Morcillo and K. Staliunas,
“Stability of localized structures in the Swift-Hohenberg
equation,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat.
Interdiscip. Topics 60(55 Pt B), 6153–6156
(1999).

[CrossRef]

M. Soljačić, S. Sears, and M. Segev,
“Self-trapping of ‘necklace’ beams in
self-focusing Kerr media,” Phys. Rev. Lett. 81(22),
4851–4854 (1998).

[CrossRef]

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo,
“Stable soliton pairs in optical transmission lines and fiber
lasers,” J. Opt. Soc. Am. B 15(2), 515–523
(1998).

[CrossRef]

M. F. Hilali, S. Métens, P. Borckmans, and G.
Dewel, “Pattern selection in the generalized Swift-Hohenberg
model,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat.
Interdiscip. Topics 51(3), 2046–2052 (1995).

[CrossRef]
[PubMed]

J. Lega, J. V. Moloney, and A. C. Newell,
“Swift-Hohenberg equation for lasers,” Phys. Rev.
Lett. 73(22), 2978–2981 (1994).

[CrossRef]
[PubMed]

M. Tlidi, P. Mandel, and R. Lefever, “Localized
structures and localized patterns in optical bistability,” Phys.
Rev. Lett. 73(5), 640–643 (1994).

[CrossRef]
[PubMed]

J. M. Soto-Crespo, N. Akhmediev, C. Mejia-Cortés,
and N. Devine, “Dissipative ring solitons with
vorticity,” Opt. Express 17(6), 4236–4250
(2009).

[CrossRef]
[PubMed]

J. M. Soto-Crespo, P. Grelu, and N. Akhmediev,
“Optical bullets and ‘rockets’ in nonlinear
dissipative systems and their transformations and interactions,”
Opt. Express 14(9), 4013–4025 (2006).

[CrossRef]
[PubMed]

N. Akhmediev and A. Ankiewicz, “Dissipative
solitons in the complex Ginzburg–Landau and
Swift–Hohenberg equations,” Lect. Notes Phys. 661,
1–17 (2005).

[CrossRef]

K.-I. Maruno, A. Ankiewicz, and N. Akhmediev,
“Exact soliton solutions of the one-dimensional complex
Swift–Hohenberg equation,” Physica D 176(1-2),
44–66 (2003).

[CrossRef]

J. M. Soto-Crespo and N. Akhmediev, “Composite
solitons and two-pulse generation in passively mode-locked lasers modeled by
the complex quintic Swift-Hohenberg equation,” Phys. Rev. E Stat.
Nonlin. Soft Matter Phys. 66(6 Pt 2), 066610 (2002).

[CrossRef]

N. Akhmediev and A. Ankiewicz, “Dissipative
solitons in the complex Ginzburg–Landau and
Swift–Hohenberg equations,” Lect. Notes Phys. 661,
1–17 (2005).

[CrossRef]

K.-I. Maruno, A. Ankiewicz, and N. Akhmediev,
“Exact soliton solutions of the one-dimensional complex
Swift–Hohenberg equation,” Physica D 176(1-2),
44–66 (2003).

[CrossRef]

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo,
“Stable soliton pairs in optical transmission lines and fiber
lasers,” J. Opt. Soc. Am. B 15(2), 515–523
(1998).

[CrossRef]

I. S. Aranson and L. Kramer, “The world of the
complex Ginzburg–Landau equation,” Rev. Mod. Phys.
74(1), 99–143 (2002).

[CrossRef]

M. F. Hilali, S. Métens, P. Borckmans, and G.
Dewel, “Pattern selection in the generalized Swift-Hohenberg
model,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat.
Interdiscip. Topics 51(3), 2046–2052 (1995).

[CrossRef]
[PubMed]

J. Buceta, K. Lindenberg, and J. M. R. Parrondo,
“Stationary and oscillatory spatial patterns induced by global
periodic switching,” Phys. Rev. Lett. 88(2), 024103
(2002).

[CrossRef]
[PubMed]

J. Burke and E. Knobloch, “Localized states in the
generalized Swift-Hohenberg equation,” Phys. Rev. E Stat. Nonlin.
Soft Matter Phys. 73(5 Pt 2), 056211 (2006).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C.
Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in
the three-dimensional cubic-quintic Ginzburg-Landau equation,”
Phys. Rev. Lett. 97(7), 073904 (2006).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F.
Lederer, and L. Torner, “Soliton clusters in three-dimensional
media with competing cubic and quintic nonlinearities,” J. Opt. B
Quantum Semiclassical Opt. 6(5), S333–S340
(2004).

[CrossRef]

L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, and
V. M. Pérez-García, “Soliton
“molecules”: robust clusters of spatiotemporal optical
solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4 Pt
2), 046610 (2003).

[CrossRef]
[PubMed]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache,
“Stable vortex solitons in the two-dimensional
Ginzburg–Landau equation,” Phys. Rev. E Stat. Phys.
Plasmas Fluids Relat. Interdiscip. Topics 63(1), 016605
(2001).

[CrossRef]

M. F. Hilali, S. Métens, P. Borckmans, and G.
Dewel, “Pattern selection in the generalized Swift-Hohenberg
model,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat.
Interdiscip. Topics 51(3), 2046–2052 (1995).

[CrossRef]
[PubMed]

Y. J. He, H. H. Fan, J. W. Dong, and H. Z. Wang,
“Self-trapped spatiotemporal necklace-ring solitons in the
Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter
Phys. 74(1 Pt 2), 016611 (2006).

[CrossRef]
[PubMed]

Y. J. He, H. H. Fan, J. W. Dong, and H. Z. Wang,
“Self-trapped spatiotemporal necklace-ring solitons in the
Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter
Phys. 74(1 Pt 2), 016611 (2006).

[CrossRef]
[PubMed]

A. G. Vladimirov, J. M. McSloy, D. V. Skryabin, and W. J.
Firth, “Two-dimensional clusters of solitary structures in driven
optical cavities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.
65(44 Pt 2B), 046606 (2002).

[CrossRef]
[PubMed]

Y. J. He, H. Z. Wang, and B. A. Malomed, “Fusion of
necklace-ring patterns into vortex and fundamental solitons in dissipative
media,” Opt. Express 15(26), 17502–17508
(2007).

[CrossRef]
[PubMed]

Y. J. He, H. H. Fan, J. W. Dong, and H. Z. Wang,
“Self-trapped spatiotemporal necklace-ring solitons in the
Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter
Phys. 74(1 Pt 2), 016611 (2006).

[CrossRef]
[PubMed]

M. F. Hilali, S. Métens, P. Borckmans, and G.
Dewel, “Pattern selection in the generalized Swift-Hohenberg
model,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat.
Interdiscip. Topics 51(3), 2046–2052 (1995).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C.
Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in
the three-dimensional cubic-quintic Ginzburg-Landau equation,”
Phys. Rev. Lett. 97(7), 073904 (2006).

[CrossRef]
[PubMed]

L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, and
V. M. Pérez-García, “Soliton
“molecules”: robust clusters of spatiotemporal optical
solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4 Pt
2), 046610 (2003).

[CrossRef]
[PubMed]

J. Burke and E. Knobloch, “Localized states in the
generalized Swift-Hohenberg equation,” Phys. Rev. E Stat. Nonlin.
Soft Matter Phys. 73(5 Pt 2), 056211 (2006).

[CrossRef]
[PubMed]

I. S. Aranson and L. Kramer, “The world of the
complex Ginzburg–Landau equation,” Rev. Mod. Phys.
74(1), 99–143 (2002).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability limits for three-dimensional vortex solitons
in the Ginzburg–Landau equation with the cubic-quintic
nonlinearity,” Phys. Rev. A 76(4), 045803 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability of dissipative optical solitons in the
three-dimensional cubic-quintic Ginzburg–Landau
equation,” Phys. Rev. A 75(3), 033811 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability of dissipative optical solitons in the
three-dimensional cubic-quintic Ginzburg–Landau
equation,” Phys. Rev. A 75(3), 033811 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability limits for three-dimensional vortex solitons
in the Ginzburg–Landau equation with the cubic-quintic
nonlinearity,” Phys. Rev. A 76(4), 045803 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C.
Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in
the three-dimensional cubic-quintic Ginzburg-Landau equation,”
Phys. Rev. Lett. 97(7), 073904 (2006).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F.
Lederer, and L. Torner, “Soliton clusters in three-dimensional
media with competing cubic and quintic nonlinearities,” J. Opt. B
Quantum Semiclassical Opt. 6(5), S333–S340
(2004).

[CrossRef]

M. Tlidi, P. Mandel, and R. Lefever, “Localized
structures and localized patterns in optical bistability,” Phys.
Rev. Lett. 73(5), 640–643 (1994).

[CrossRef]
[PubMed]

J. Lega, J. V. Moloney, and A. C. Newell,
“Swift-Hohenberg equation for lasers,” Phys. Rev.
Lett. 73(22), 2978–2981 (1994).

[CrossRef]
[PubMed]

J. Buceta, K. Lindenberg, and J. M. R. Parrondo,
“Stationary and oscillatory spatial patterns induced by global
periodic switching,” Phys. Rev. Lett. 88(2), 024103
(2002).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability of dissipative optical solitons in the
three-dimensional cubic-quintic Ginzburg–Landau
equation,” Phys. Rev. A 75(3), 033811 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability limits for three-dimensional vortex solitons
in the Ginzburg–Landau equation with the cubic-quintic
nonlinearity,” Phys. Rev. A 76(4), 045803 (2007).

[CrossRef]

Y. J. He, H. Z. Wang, and B. A. Malomed, “Fusion of
necklace-ring patterns into vortex and fundamental solitons in dissipative
media,” Opt. Express 15(26), 17502–17508
(2007).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C.
Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in
the three-dimensional cubic-quintic Ginzburg-Landau equation,”
Phys. Rev. Lett. 97(7), 073904 (2006).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F.
Lederer, and L. Torner, “Soliton clusters in three-dimensional
media with competing cubic and quintic nonlinearities,” J. Opt. B
Quantum Semiclassical Opt. 6(5), S333–S340
(2004).

[CrossRef]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache,
“Stable vortex solitons in the two-dimensional
Ginzburg–Landau equation,” Phys. Rev. E Stat. Phys.
Plasmas Fluids Relat. Interdiscip. Topics 63(1), 016605
(2001).

[CrossRef]

M. Tlidi and P. Mandel, “Three-dimensional optical
crystals and localized structures in cavity second harmonic
generation,” Phys. Rev. Lett. 83(24), 4995–4998
(1999).

[CrossRef]

M. Tlidi, P. Mandel, and R. Lefever, “Localized
structures and localized patterns in optical bistability,” Phys.
Rev. Lett. 73(5), 640–643 (1994).

[CrossRef]
[PubMed]

K.-I. Maruno, A. Ankiewicz, and N. Akhmediev,
“Exact soliton solutions of the one-dimensional complex
Swift–Hohenberg equation,” Physica D 176(1-2),
44–66 (2003).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability limits for three-dimensional vortex solitons
in the Ginzburg–Landau equation with the cubic-quintic
nonlinearity,” Phys. Rev. A 76(4), 045803 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability of dissipative optical solitons in the
three-dimensional cubic-quintic Ginzburg–Landau
equation,” Phys. Rev. A 75(3), 033811 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C.
Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in
the three-dimensional cubic-quintic Ginzburg-Landau equation,”
Phys. Rev. Lett. 97(7), 073904 (2006).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F.
Lederer, and L. Torner, “Soliton clusters in three-dimensional
media with competing cubic and quintic nonlinearities,” J. Opt. B
Quantum Semiclassical Opt. 6(5), S333–S340
(2004).

[CrossRef]

A. G. Vladimirov, J. M. McSloy, D. V. Skryabin, and W. J.
Firth, “Two-dimensional clusters of solitary structures in driven
optical cavities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.
65(44 Pt 2B), 046606 (2002).

[CrossRef]
[PubMed]

M. F. Hilali, S. Métens, P. Borckmans, and G.
Dewel, “Pattern selection in the generalized Swift-Hohenberg
model,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat.
Interdiscip. Topics 51(3), 2046–2052 (1995).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability of dissipative optical solitons in the
three-dimensional cubic-quintic Ginzburg–Landau
equation,” Phys. Rev. A 75(3), 033811 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A.
Malomed, “Stability limits for three-dimensional vortex solitons
in the Ginzburg–Landau equation with the cubic-quintic
nonlinearity,” Phys. Rev. A 76(4), 045803 (2007).

[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C.
Crasovan, L. Torner, and B. A. Malomed, “Stable vortex tori in
the three-dimensional cubic-quintic Ginzburg-Landau equation,”
Phys. Rev. Lett. 97(7), 073904 (2006).

[CrossRef]
[PubMed]

D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, F.
Lederer, and L. Torner, “Soliton clusters in three-dimensional
media with competing cubic and quintic nonlinearities,” J. Opt. B
Quantum Semiclassical Opt. 6(5), S333–S340
(2004).

[CrossRef]

L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, and
V. M. Pérez-García, “Soliton
“molecules”: robust clusters of spatiotemporal optical
solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4 Pt
2), 046610 (2003).

[CrossRef]
[PubMed]

L.-C. Crasovan, B. A. Malomed, and D. Mihalache,
“Stable vortex solitons in the two-dimensional
Ginzburg–Landau equation,” Phys. Rev. E Stat. Phys.
Plasmas Fluids Relat. Interdiscip. Topics 63(1), 016605
(2001).

[CrossRef]

J. Lega, J. V. Moloney, and A. C. Newell,
“Swift-Hohenberg equation for lasers,” Phys. Rev.
Lett. 73(22), 2978–2981 (1994).

[CrossRef]
[PubMed]

J. Lega, J. V. Moloney, and A. C. Newell,
“Swift-Hohenberg equation for lasers,” Phys. Rev.
Lett. 73(22), 2978–2981 (1994).

[CrossRef]
[PubMed]

J. Buceta, K. Lindenberg, and J. M. R. Parrondo,
“Stationary and oscillatory spatial patterns induced by global
periodic switching,” Phys. Rev. Lett. 88(2), 024103
(2002).

[CrossRef]
[PubMed]

L.-C. Crasovan, Y. V. Kartashov, D. Mihalache, L. Torner, and
V. M. Pérez-García, “Soliton
“molecules”: robust clusters of spatiotemporal optical
solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(4 Pt
2), 046610 (2003).

[CrossRef]
[PubMed]

V. J. Sánchez-Morcillo and K. Staliunas,
“Stability of localized structures in the Swift-Hohenberg
equation,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat.
Interdiscip. Topics 60(55 Pt B), 6153–6156
(1999).

[CrossRef]

M. Soljačić, S. Sears, and M. Segev,
“Self-trapping of ‘necklace’ beams in
self-focusing Kerr media,” Phys. Rev. Lett. 81(22),
4851–4854 (1998).

[CrossRef]

M. Soljačić, S. Sears, and M. Segev,
“Self-trapping of ‘necklace’ beams in
self-focusing Kerr media,” Phys. Rev. Lett. 81(22),
4851–4854 (1998).

[CrossRef]

A. G. Vladimirov, J. M. McSloy, D. V. Skryabin, and W. J.
Firth, “Two-dimensional clusters of solitary structures in driven
optical cavities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.
65(44 Pt 2B), 046606 (2002).

[CrossRef]
[PubMed]

D. V. Skryabin and A. G. Vladimirov, “Vortex
induced rotation of clusters of localized states in the complex
Ginzburg-Landau equation,” Phys. Rev. Lett. 89(4), 044101
(2002).

[CrossRef]
[PubMed]

M. Soljačić, S. Sears, and M. Segev,
“Self-trapping of ‘necklace’ beams in
self-focusing Kerr media,” Phys. Rev. Lett. 81(22),
4851–4854 (1998).

[CrossRef]

J. M. Soto-Crespo, N. Akhmediev, C. Mejia-Cortés,
and N. Devine, “Dissipative ring solitons with
vorticity,” Opt. Express 17(6), 4236–4250
(2009).

[CrossRef]
[PubMed]

J. M. Soto-Crespo, P. Grelu, and N. Akhmediev,
“Optical bullets and ‘rockets’ in nonlinear
dissipative systems and their transformations and interactions,”
Opt. Express 14(9), 4013–4025 (2006).

[CrossRef]
[PubMed]

J. M. Soto-Crespo and N. Akhmediev, “Composite
solitons and two-pulse generation in passively mode-locked lasers modeled by
the complex quintic Swift-Hohenberg equation,” Phys. Rev. E Stat.
Nonlin. Soft Matter Phys. 66(6 Pt 2), 066610 (2002).

[CrossRef]

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo,
“Stable soliton pairs in optical transmission lines and fiber
lasers,” J. Opt. Soc. Am. B 15(2), 515–523
(1998).

[CrossRef]

V. J. Sánchez-Morcillo and K. Staliunas,
“Stability of localized structures in the Swift-Hohenberg
equation,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat.
Interdiscip. Topics 60(55 Pt B), 6153–6156
(1999).

[CrossRef]

M. Tlidi, “Three-dimensional crystals and localized
structures in diffractive and dispersive nonlinear ring
cavities,” J. Opt. B Quantum Semiclassical Opt. 2(3),
438–442 (2000).

[CrossRef]

M. Tlidi and P. Mandel, “Three-dimensional optical
crystals and localized structures in cavity second harmonic
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