Spatiotemporal optical solitons

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 7, Issue 5, 2005, Pages

  Malomed, Boris A ^a   Mihalache, Dumitru ^b   Wise, Frank ^c   Torner, Lluis ^d  

^a TEL AVIV UNIVERSITY   (Israel)

^b INSTITUTE OF ATOMIC PHYSICS   (Romania)

^c Cornell University   (United States)

^d UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Bose Einstein condensation; Collapse; Dispersion management; Gross Pitaevskii equation; Group velocity dispersion; Light bullet; Matter wave soliton; Modulational instability; Nonlinear optics; Nonlinear Schr dinger equation; Optical lattice

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DISPERSIONS; FIBER BRAGG GRATINGS; MATHEMATICAL OPERATORS; NONLINEAR OPTICS; QUANTUM THEORY; SECOND HARMONIC GENERATION;

BOSE-EINSTEIN CONDENSATION; COLLAPSE; DISPERSION MANAGEMENT; GROSS-PITAEVSKII EQUATION; GROUP VELOCITY DISPERSION; LIGHT BULLETS; MATTER-WAVE SOLITONS; MODULATIONAL INSTABILITY; OPTICAL LATTICES; OPTICAL VORTEX;

SOLITONS;

EID: 18744368199     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4266/7/5/R02     Document Type: Review

References (206)

1. Abdullaev F Kh, Caputo J G, Kraenkel R A and Malomed B A 2003 Phys. Rev. A 67 013605
2. Agrawal G P 1995 Nonlinear Fiber Optics (San Diego, CA: Academic)
3. Akhmediev N N and Ankiewicz A 1997 Solitons: Nonlinear Pulses and Beams (London: Chapman and Hall)
4. Akhmediev N N, Ankiewicz A and Tran H T 1993 J. Opt. Soc. Am. B 10 230
5. Aközbek N and John S 1998 Phys. Rev. E 58 3876
6. Aitchison J S, Weiner A M, Silberberg Y, Oliver M K, Jackel J L, Leaird D E, Vogel E M and Smith P W E 1990 Opt. Lett. 15 471
7. Anderson B P and Meystre P 2002 Opt. Photon. News 13 20
8. Anglin J R and Ketterle W 2002 Nature 416 211
9. Ankiewicz A and Akhmediev N 2003 IEE Proc.-Optoelectron. 150 519
10. Aranson I S and Kramer L 2002 Rev. Mod. Phys. 74 99
11. Baizakov B B, Konotop V V and Salerno M 2002 J. Phys. B: At. Mol. Opt. Phys. 35 5115
12. Baizakov B B, Malomed B A and Salerno M 2003 Europhys. Lett. 63 642
13. Baizakov B B, Malomed B A and Salerno M 2004a Nonlinear Waves: Classical and Quantum Aspects ed F Kh Abdullaev and V V Konotop (Dordrecht: Kluwer-Academic) pp 61-80
14. Baizakov B B, Malomed B A and Salerno M 2004b Phys. Rev. A 70 053613
15. Bang O, Kivshar Y S, Buryak A V, De Rossi A and Trillo S 1998 Phys. Rev. E 58 5057
16. Beckwitt K, Chen Y-F, Wise F W and Malomed B A 2003 Phys. Rev. E 68 057601
17. Belashenkov N R, Gagarskii S V and Inochkin M V 1989 Opt. Spectrosc. 66 806
18. Bergé L 1998 Phys. Rep. 303 260
19. Bigelow M S, Zerom P and Boyd R W 2004 Phys. Rev. Lett. 92 083902
20. Blaauboer M, Kurizki G and Malomed B A 2002 J. Opt. Soc. Am. B 19 1376
21. Blaauboer M, Malomed B A and Kurizki G 2000 Phys. Rev. Lett. 84 106
22. Boudebs G, Cherukulappurath S, Leblond H, Troles J, Smektala F and Sanchez F 2003 Opt. Commun. 219 427
23. Bowden C M, Postan A and Inguva A 1991 J. Opt. Soc. Am. B 8 1081
24. Brambilla M, Maggipinto T, Patera G and Columbo L 2004 Phys. Rev. Lett. 93 203901
25. Buryak A V, Di Trapani P, Skryabin D V and Trillo S 2002 Phys. Rep. 370 63
26. Buryak A V, Kivshar Y S and Steblina V V 1995 Phys. Rev. A 52 1670
27. Buryak A V, Kivshar Y S and Trillo S 1995 Opt. Lett. 20 1961
28. Carrasco S, Petrov D V, Torres J P, Torner L, Kim H, Stegeman G I and Zondy J J 2004 Opt. Lett. 29 382
29. Carrasco S, Torner L, Torres J P, Artigas D, Lopez-Lago E, Couderc V and Barthélémy A 2002 IEEE J. Sel. Top. Quantum Electron. 8 497
30. Carrasco S, Torres J P, Artigas D and Torner L 2001a Opt. Commun. 192 347
31. Carrasco S, Torres J P, Torner L and Wise F W 2001b Opt. Commun. 191 363
32. Chen Y-F, Beckwitt K, Wise F W and Malomed B A 2004 Phys. Rev. E 70 046610
33. Chen Z, Shih M, Segev M, Wilson D W, Muller R E and Maker P D 1997 Opt. Lett. 22 1751
34. Chiao R Y, Garmire E and Townes C H 1964 Phys. Rev. Lett. 13 479
35. Christodoulides D N, Efremidis N K, Di Trapani P and Malomed B A 2004 Opt. Lett. 29 1446
36. Christodoulides D N, Lederer F and Silberberg Y 2003 Nature 424 817
37. Conti C and Trillo S 2004 Phys. Rev. Lett. 92 120404
38. Crasovan L-C, Malomed B A and Mihalache D 2001a Phys. Rev. E 63 016605
39. Crasovan L-C, Malomed B A and Mihalache D 2001b Phys. Lett. A 289 59
40. Crasovan L-C, Molina-Terriza G, Torres J P, Torner L, Pérez-GarcíaV M and Mihalache D 2002 Phys. Rev. E 66 036612
41. Crasovan L-C, Pérez-García V M, Danaila I, Mihalache D and Torner L 2004 Phys. Rev. A 70 033605
42. Crasovan L-C, Kartashov Y V, Mihalache D, Torner L, Kivshar Y S and Pérez-García V M 2003a Phys. Rev. E 67 046610
43. Crasovan L-C, Torres J P, Mihalache D and Torner L 2003b Phys. Rev. Lett. 91 063904
44. Crasovan L-C, Vekslerchik V, Pérez-García V M, Torres J P, Mihalache D and Torner L 2003c Phys. Rev. A 68 063609
45. Cusack B J, Alexander T J, Ostrovskaya E A and Kivshar Y S 2001 Phys. Rev. A 65 013609
46. Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
47. Davydova T A and Yakimenko A I 2004 J. Opt. A: Pure Appl. Opt. 6 S197
48. De Rossi A, Conti C and Trillo S 1998 Phys. Rev. Lett. 81 85
49. De Rossi A, Trillo S, Buryak A V and Kivshar Y S 1997 Phys. Rev. E 56 R4959
50. DeSalvo R, Hagan D J, Sheik-Bahae M, Stegeman G, Van Stryland E W and Vanherzeele H 1992 Opt. Lett. 17 28
51. Desyatnikov A S and Kivshar Y S 2002 Phys. Rev. Lett. 88 053901
52. Desyatnikov A, Maimistov A and Malomed B 2000 Phys. Rev. E 61 3107
53. Desyatnikov A, Mihalache D, Mazilu D, Malomed B A, Denz C and Lederer F 2005 Two-dimensional solitons with hidden and explicit vorticity in bimodal cubic-quintic media Phys. Rev. E at press
54. Di Trapani P, Caironi D, Valiulis G, Dubietis A, Danielius R and Piskarskas A 1998 Phys. Rev. Lett. 81 570
55. Di Trapani P, Chinaglia W, Minardi S, Piskarskas A and Valiulis G 2000 Phys. Rev. Lett. 84 3843
56. Di Trapani P, Valiulis G, Piskarskas A, Jedrkiewicz O, Trull J, Conti C and Trillo S 2003 Phys. Rev. Lett. 91 093904
57. Drummond P D, Kheruntsyan K V and He H 1998 Phys. Rev. Lett. 81 3055
58. Drummond P, Kheruntsyan K V and He H 1999 J. Opt. B: Quantum Semiclass. Opt. 1 387
59. Duree G, Morin M, Salamo G, Segev M, Crosignani B, Di Porto P, Sharp E and Yariv A 1995 Phys. Rev. Lett. 74 1978
60. Duree G, Schultz J L, Salamo G, Segev M, Yariv A, Crosignani B, Di Porto P, Sharp E and Neurgaonkar R 1993 Phys. Rev. Lett. 71 533
61. Durnin J, Miceli J J and Eberly J H 1987 Phys. Rev. Lett. 58 1499
62. Edmundson D E and Enns R H 1992 Opt. Lett. 17 586
63. Edmundson D E and Enns R H 1993 Opt. Lett. 18 1609
64. Efremidis N K, Sears S, Christodoulides D N, Fleischer J W and Segev M 2002 Phys. Rev. E 66 046602
65. Eiermann B, Anker T, Albiez M, Taglieber M, Treutlein P, Marzlin K-P and Oberthaler M K 2004 Phys. Rev. Lett. 92 230401
66. Eisenberg H, Morandotti R, Silberberg Y, Bar-Ad S, Ross D and Aitchison J S 2001 Phys. Rev. Lett. 87 043902
67. Eisenberg H S, Silberberg Y, Morandotti R, Boyd A R and Aitchison J S 1998 Phys. Rev. Lett. 81 3383
68. Enns R H, Edmundson D E, Rangnekar S S and Kaplan A E 1992 Opt. Quantum Electron. 24 S1295
69. Enns R H and Rangnekar S S 1992 Phys. Rev. A 45 3354
70. Enns R H and Rangnekar S S 1993 Phys. Rev. E 48 3998
71. Etrich C, Lederer F, Malomed B A, Peschel T and Peschel U 2000 Prog. Opt. 41 483
72. Etrich C, Peschel U, Lederer F and Malomed B A 1997 Phys. Rev. E 55 6155
73. Fibich G, Ilan B and Papanicolaou G 2002 SIAM J. Appl. Math. 62 1437
74. Firth W J and Skryabin D V 1997 Phys. Rev. Lett. 79 2450
75. Fleischer J W, Bartal G, Cohen O, Manela O, Segev M, Hudock J and Christodoulides D N 2004 Phys. Rev. Lett. 92 123904
76. Fleischer J W, Segev M, Efremidis N K and Christodoulides D N 2003 Nature 422 147
77. Freund I 1999 Opt. Commun. 159 99
78. Goorjian P M and Silberberg Y 1997 J. Opt. Soc. Am. B 14 3253
79. Hachair X et al 2004 Phys. Rev. A 69 043817
80. Hasegawa A and Tappert F D 1973 Appl. Phys. Lett. 23 142
81. Hasegawa A and Kodama Y 1995 Solitons in Optical Communications (Oxford: Oxford University Press)
82. Haus H A 2000 IEEE J. Sel. Top. Quantum Electron. 6 1173
83. Hayata K and Koshiba M 1993 Phys. Rev. Lett. 71 3275
84. He H and Drummond P D 1998 Phys. Rev. E 58 5025
85. Iannone I, Matera F, Mecozzi A and Settembre M 1998 Nonlinear Optical Communication Networks (New York: Wiley)
86. Iwanow R, Schiek R, Stegeman G I, Pertsch T, Lederer F, Min Y and Sohler W 2004 Phys. Rev. Lett. 93 113902
87. Javanainen J and Mackie M 1998 Phys. Rev. A 59 R3186
88. Jeng C-C, Shih M-F, Motzek C and Kivshar Y 2004 Phys. Rev. Lett. 92 043904
89. Julienne P S, Burnett K, Band Y B and Stwalley W C 1998 Phys. Rev. A 58 R797
90. Kanashov A A and Rubenchik A M 1981 Physica D 4 122
91. Karamzin Y N and Sukhorukov A P 1976 Sov. Phys.-JETP 41 414
92. Karpierz M A 1995 Opt. Lett. 20 1677
93. Kartashov Y V, Crasovan L-C, Mihalache D and Torner L 2002 Phys. Rev. Lett. 89 273902
94. Kartashov Y V, Egorov A A, Vysloukh V A and Torner L 2004a J. Opt. B: Quantum Semiclass. Opt. 6 444
95. Kartashov Y V, Vysloukh V A and Torner L 2004b Phys. Rev. Lett. 93 093904
96. Kevrekidis P G, Malomed B A and Bishop A R 2001 J. Phys. A: Math. Gen. 34 9615
97. Kevrekidis P G, Malomed B A, Chen Z and Frantzeskakis D J 2004a Phys. Rev. E 70 056612
98. Kevrekidis P G, Malomed B A, Frantzeskakis D J and Carretero-Gonzalez R 2004b Phys. Rev. Lett. 93 080403
99. Kivshar Y S and Agrawal G P 2003 Optical Solitons: From Fibers to Photonic Crystals (San Diego, CA: Academic)
100. Kivshar Y S, Christou J, Tikhonenko V, Luther-Davies B and Pismen L 1998 Opt. Commun. 152 198
101. Kruglov V I, Logvin Y A and Volkov V M 1992 J. Mod. Opt. 39 2277
102. Kusmartsev F V 1989 Phys. Rep. 183 1
103. Kuznetsov E A, Rubenchik A M and Zakharov V E 1986 Phys. Rep. 142 103
104. Leblond H 1998a J. Phys. A: Math. Gen. 31 3041
105. Leblond H 1998b J. Phys. A: Math. Gen. 31 5129
106. Leblond H, Malomed B A and Mihalache D 2005 Quasi-stable two-dimensional solitons with hidden and explicit vorticity in a medium with competing nonlinearities Phys. Rev. E at press
107. Liu X, Beckwitt K and Wise F 2000a Phys. Rev. E 62 1328
108. Liu X, Beckwitt K and Wise F 2000b Phys. Rev. Lett. 85 1871
109. Liu X, Beckwitt K and Wise F 2000c Phys. Rev. E 61 R4722
110. Liu X, Qian L J and Wise F W 1999 Phys. Rev. Lett. 82 4631
111. Lu J-Y and Greenleaf J F 1992 IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39 19
112. Maimistov A I, Malomed B A and Desyatnikov A 1999 Phys. Lett. A 254 179
113. Malomed B A 1998 Phys. Rev. E 58 7928
114. Malomed B A 2002 Prog. Opt. 43 71
115. Malomed B A, Crasovan L-C and Mihalache D 2002 Physica D 161 187
116. Malomed B A, Drummond P, He H, Berntson A, Anderson D and Lisak M 1997 Phys. Rev. E 56 4725
117. Malomed B A and Kevrekidis P G 2001 Phys. Rev. E 64 026601
118. Manassah J T, Baldeck P L and Alfano R R 1988 Opt. Lett. 13 1090
119. Mandel P and Tlidi M 2004 J. Opt. B: Quantum Semiclass. Opt. 6 R60
120. Martin H, Eugenieva E D, Chen Z and Christodoulides D N 2004 Phys. Rev. Lett. 92 123902
121. Matuszewski M, Trippenbach M and Malomed B A 2005 Stabilization of three-dimensional matter-waves solitons in an optical lattice Europhys. Lett. at press
122. Matuszewski M, Trippenbach M, Malomed B A, Infeld E and Skorupski A A 2004 Phys. Rev. E 70 016603
123. McEntee J 2003 Fibre Systems Europe p 19
124. Mel'nikov I V, Mihalache D and Panoiu N-C 2000 Opt. Commun. 181 345
125. Menyuk C R, Schiek R and Torner L 1994 J. Opt. Soc. Am. B 11 2434
126. Mihalache D, Mazilu D, Crasovan L-C, Malomed B A and Lederer F 2000a Phys. Rev. E 61 7142
127. Mihalache D, Mazilu D, Crasovan L-C, Malomed B A and Lederer F 2000b Phys. Rev. E 62 R1505
128. Mihalache D, Mazilu D, Crasovan L-C, Malomed B A, Lederer F and Torner L 2003a Phys. Rev. E 68 046612
129. Mihalache D, Mazilu D, Crasovan L-C, Malomed B A, Lederer F and Torner L 2004a J. Opt. B: Quantum Semiclass. Opt. 6 S333
130. Mihalache D, Mazilu D, Crasovan L-C and Torner L 1997 Opt. Commun. 137 113
131. Mihalache D, Mazilu D, Crasovan L-C, Torner L, Malomed B A and Lederer F 2000c Phys. Rev. E 62 7340
132. Mihalache D, Mazilu D, Crasovan L-C, Towers I, Buryak A V, Malomed B A, Torner L, Torres J P and Lederer F 2002a Phys. Rev. Lett. 88 073902
133. Mihalache D, Mazilu D, Crasovan L-C, Towers I, Malomed B A, Buryak A V, Torner L and Lederer F 2002b Phys. Rev. E 66 016613
134. Mihalache D, Mazilu D, Dörring J and Torner L 1999a Opt. Commun. 159 129
135. Mihalache D, Mazilu D, Lederer F, Kartashov Y V, Crasovan L-C and Torner L 2004b Phys. Rev. E 70 055603(R)
136. Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L-C and Torner L 2004c Stable spatiotemporal solitons in Bessel optical lattices at press
137. Mihalache D, Mazilu D, Malomed B A and Lederer F 2004d Phys. Rev. E 69 066614
138. Mihalache D, Mazilu D, Malomed B A and Lederer F 2004e J. Opt. B: Quantum Semiclass. Opt. 6 S341
139. Mihalache D, Mazilu D, Malomed B A and Torner L 1998a Opt. Commun. 152 365
140. Mihalache D, Mazilu D, Malomed B A and Torner L 1999b Opt. Commun. 169 341
141. Mihalache D, Mazilu D and Torner L 1998b Phys. Rev. Lett. 81 4353
142. Mihalache D, Mazilu D, Towers I, Malomed B A and Lederer F 2002c J. Opt. A: Pure Appl. Opt. 4 615
143. Mihalache D, Mazilu D, Towers I, Malomed B A and Lederer F 2003b Phys. Rev. E 67 056608
144. Minardi S, Molina-Terriza G, Di Trapani P, Torres J P and Torner L 2001 Opt. Lett. 26 1004
145. Mitchel M and Segev M 1997 Nature 387 880
146. Molina-Terriza G, Wright E M and Torner L 2001 Opt. Lett. 26 163
147. Mollenauer L F, Stolen R H and Gordon J P 1980 Phys. Rev. Lett. 45 1095
148. Montesinos G D, Perez-Garcia V M and Michinel H 2004a Phys. Rev. Lett. 92 133901
149. Montesinos G D, Perez-Garcia V M and Torres P J 2004b Physica D 191 193
150. Musslimani Z H and Yang J 2004 J. Opt. Soc. Am. B 21 973
151. Neshev D N, Alexander T J, Ostrovskaya E A, Kivshar Y S, Martin H, Makasyuk I and Chen Z 2004 Phys. Rev. Lett. 92 123903
152. Newell A C and Moloney J V 1992 Nonlinear Optics (Redwood City, CA: Addison-Wesley)
153. Ogusu K, Yamasaki J, Maeda S, Kitao M and Minakata M 2004 Opt. Lett. 29 265
154. Ostrovskaya E A and Kivshar Y S 2004 Phys. Rev. Lett. 93 160405
155. Pego R L and Warchall H A 2002 J. Nonlinear Sci. 12 347
156. Petrov D V, Torner L, Martorell J, Vilaseca R, Torres J P and Cojocaru C 1998 Opt. Lett. 23 1787
157. Pioger P, Couderc V, Lefort L, Barthelemy A, Baronio F, De Angelis C, Min Y H, Quiring V and Sohler W 2002 Opt. Lett. 27 2182
158. Quiroga-Teixeiro M and Michinel H 1997 J. Opt. Soc. Am. B 14 2004
159. Quiroga-Teixeiro M L, Berntson A and Michinel H 1999 J. Opt. Soc. Am. B 16 1697
160. Raghavan S and Agrawal G P 2000 Opt. Commun. 180 377
161. Saito H and Ueda M 2003 Phys. Rev. Lett. 90 040403
162. Sakaguchi H and Malomed B A 2004 J. Phys. B: At. Mol. Opt. Phys. 37 2225
163. Sakaguchi H and Malomed B A 2005 Higher-order vortex solutions, multipoles, and supervortices on a square optical lattice to be published
164. Schiek R, Baek Y and Stegeman G I 1996 Phys. Rev. E 53 1138
165. Schiek R, Fang H, Malendevich R and Stegeman G I 2001 Phys. Rev. Lett. 86 4528
166. Schöllmann J, Scheibenzuber R, Kovalev A S, Mayer A P and Maradudin A A 1999 Phys. Rev. E 59 4618
167. Segev M and Christodoulides D N 2002 Opt. Photon. News 13 70
168. Segev M, Crosignani B, Yariv A and Fischer B 1992 Phys. Rev. Lett. 68 923
169. Silberberg Y 1990 Opt. Lett. 15 1282
170. Skryabin D V and Firth W J 1998 Opt. Commun. 148 79
171. Smektala F, Quemard C, Couderc V and Barthélémy A 2000 J. Non-Cryst. Solids 274 232
172. Snyder A W, Poladian L and Mitchell D J 1992 Opt. Lett. 17 789
173. Soljaćić M, Sears S and Segev M 1998 Phys. Rev. Lett. 81 4851
174. Soljaćić M and Segev M 2001 Phys. Rev. Lett. 86 420
175. Sonajalg H, Ratsep M and Saari P 1997 Opt. Lett. 22 310
176. Stegeman G I, Hagan D J and Torner L 1996 Opt. Quantum Electron. 28 1691
177. Stegeman G I, Sheik-Bahae M, Van Stryland E W and Assanto G 1993 Opt. Lett. 18 13
178. Stegeman G, Christodoulides D N and Segev M 2000 IEEE J. Sel. Top. Quantum Electron. 6 1419
179. Stegeman G I and Segev M 1999 Science 286 1518
180. Swartzlander G A and Law C T 1992 Phys. Rev. Lett. 69 2503
181. Thomas J-M R and Taran J-P E 1972 Opt. Commun. 4 329
182. Tikhonenko V, Christou J and Luther-Davies B 1995 J. Opt. Soc. Am. B 12 2046
183. Tikhonenko V, Christou J and Luther-Davies B 1996 Phys. Rev. Lett. 76 2698
184. Torner L 1999 IEEE Photon. Technol. Lett. 11 1268
185. Torner L and Barthelemy A 2003 IEEE J. Quantum Electron. 39 22
186. Torner L, Carrasco S, Torres J P, Crasovan L-C and Mihalache D 2001 Opt. Commun. 199 277
187. Torner L, Mazilu D and Mihalache D 1996 Phys. Rev. Lett. 77 2455
188. Torner L, Mihalache D, Mazilu D and Akhmediev N N 1995a Opt. Lett. 20 2183
189. Torner L, Mihalache D, Mazilu D, Wright E M, Torruellas W E and Stegeman G I 1995b Opt. Commun. 121 149
190. Torner L and Petrov D V 1997 Electron. Lett. 33 608
191. Torner L, Torres J P, Artigas D, Mihalache D and Mazilu D 1999 Opt. Commun. 164 153
192. Torres J P, Soto-Crespo J M, Torner L and Petrov D V 1998 J. Opt. Soc. Am. B 15 625
193. Torres J P, Palacios S L, Torner L, Crasovan L-C, Mihalache D and Biaggio I 2002a Opt. Lett. 27 1631
194. Torres J P, Torner L, Biaggio I and Segev M 2002b Opt. Commun. 213 351
195. Towers I, Buryak A V, Sammut R A and Malomed B A 2001a Phys. Rev. E 63 055601(R)
196. Towers I, Buryak A V, Sammut R A, Malomed B A, Crasovan L-C and Mihalache D 2001b Phys. Lett. A 288 292
197. Towers I and Malomed B A 2002 J. Opt. Soc. Am. B 19 537
198. Towers I N, Malomed B A and Wise F W 2003 Phys. Rev. Lett. 90 123902
199. Torruellas W E, Wang Z, Hagan D J, Van Stryland E W, Stegeman G I, Torner L and Menyuk C R 1995 Phys. Rev. Lett. 74 5036
200. Trillo S, Conti C, Di Trapani P, Jedrkiewicz O, Trull J, Valiulis G and Bellanca G 2002 Opt. Lett. 27 1451
201. Trull J, Jedrkiewicz O, Di Trapani P, Matijosius A, Varanavicius A, Valiulis G, Danielius R, Kucinskas E, Piskarskas A and Trillo S 2004 Phys. Rev. E 69 026607
202. Vakhitov M G and Kolokolov A A 1973 Sov. J. Radiophys. Quantum Electron. 16 783
203. Xu Z, Kartashov Y V, Crasovan L-C, Mihalache D and Torner L 2004 Phys. Rev. E 70 066618
204. Yang J, Makasyuk I, Martin H, Kevrekidis P G, Malomed B A, Frantzeskakis D J and Chen Z 2005 Necklace-like solitons in optically induced photonic lattices Phys. Rev. Lett. at press
205. Yang J and Musslimani Z H 2003 Opt. Lett. 28 2094
206. Zhan C, Zhang D, Zhu D, Wang D, Li Y, Li D, Lu Z, Zhao L and Nie Y 2002 J. Opt. Soc. Am. B 19 369