Helmholtz bright and boundary solitons

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 7, 2007, Pages 1545-1560

  Christian, J M ^a   McDonald, G S ^a   Chamorro Posada, P ^b  

^a UNIVERSITY OF SALFORD   (United Kingdom)

^b UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34848863659     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/7/008     Document Type: Article

References (53)

1. Kivshar Y S and Malomed B A 1989 Rev. Mod. Phys. 61 765
2. Dodd R K, Eilbeck J C, Gibbon J D and Morris H C 1982 Solitons and Nonlinear Wave Equations (London: Academic)
3. Remoissenet M 1999 Waves Called Solitons: Concepts and Experiments 3rd edn (Berlin: Springer)
4. Infeld E and Rowlands G 2000 Nonlinear Waves, Solitons and Chaos 2nd edn (Cambridge: Cambridge University Press)
5. Kivshar Y S 1998 Opt. Quantum Electron 30 571
6. Kivshar Y S and Luther-Davies B 1998 Phys. Rep. 298 81
7. Zakharov V E and Shabat A B 1972 Sov. Phys.-JETP 34 62
8. Zakharov V E and Shabat A B 1973 Sov. Phys.-JETP 37 823
9. Pushkarov K I, Pushkarov D I and Tomov I V 1979 Opt. Quantum Electron. 11 479
10. Gatz S and Herrmann J 1992 IEEE J. Quantum Electron. 28 1732
11. Herrmann J 1992 Opt. Commun. 91 337
12. Kivshar Y S, Afansjev V V and Snyder A W 1996 Opt. Commun. 126 348
13. Chao W 2000 Opt. Commun. 175 239
14. Snyder A W and Mitchell D J 1993 Opt. Lett. 18 101
15. Mihalacke D, Bertolotti M and Sibilia C 1989 Progress in Optics XXVII ed E Wolf (Amsterdam: Elsevier) pp 228-309
16. Micallef R W, Afanasjev V V, Kivshar Y S and Love J D 1996 Phys. Rev. E 54 2936
17. Hayata K and Koshiba M 1995 Phys. Rev. E 51 1499
18. Hayata K and Koshiba M 1995 Phys Rev. E 51 5155
19. Hayata K and Koshiba M 1994 J. Opt. Soc. Am. B 11 2581
20. Pelinovski D E, Afansjev V V and Kivshar Y S 1996 Phys. Rev. E 53 1940
21. Wood V E, Evans E D and Kenan R P 1988 Opt. Commun. 69 156
22. Krolikowski W and Luther-Davies B 1992 Opt. Lett. 17 1415
23. Krolikowski W and Luther-Davies B 1992 Opt. Lett. 18 189
24. Lax M, Louisell W H and McKnight W B 1975 Phys. Rev. A 11 1365
25. Chi S and Guo Q 1995 Opt. Lett. 20 1598
26. Ciattoni A, Di Porto P, Crosignani B and Yariv A 2000 J. Opt. Soc. Am. B 17 809
27. Crosignani B, Yariv A and Mookherjea S 2004 Opt. Lett. 29 1524
28. Ciattoni A, Crosignani B, Mookherjea S and Yariv A 2005 Opt. Lett. 30 516
29. Ciattoni A, Crosignani B, Di Porto P, Scheuer J and Yariv A 2006 Opt. Express 14 5517
30. Chamorro-Posada P, McDonald G S and New G H C 2002 J. Opt. Soc. Am. B 19 1216
31. Chamorro-Posada P, McDonald G S and New G H C 1998 J. Mod. Opt. 45 1111
32. Chamorro-Posada P and McDonald G S 2006 Phys. Rev. E 74 036609
33. Chamorro-Posada P and McDonald G S 2003 Opt. Lett. 28 825
34. Christian J M, McDonald G S and Chamorro-Posada P 2006 Helmholtz solitons for a power-law non-linearity (in preparation)
35. Christian J M, McDonald G S and Chamorro-Posada P 2006 Phys. Rev. E 74 066612
36. Christian J M 2006 On the theory of Helmholtz solitons PhD Thesis University of Salford, UK
37. Chamorro-Posada P, McDonald G S and New G H C 2000 J. Mod. Opt. 47 1877
38. Chamorro-Posada P, McDonald G S and New G H C 2001 Opt. Commun. 192 1
39. Gagnon L 1989 J. Opt. Soc. Am. A 9 1477
40. Vakhitov M G and Kolokolov A A 1973 Radiophys. Quantum Electron. 16 783
41. Laedke E W, Spatschek K H and Stenflo L 1983 J. Math. Phys. 24 2764
42. Enns R H, Rangnekar S S and Kaplan A E 1987 Phys. Rev. A 35 466
43. Enns R H, Rangnekar S S and Kaplan A E 1987 Phys. Rev. A 36 1270
44. Kaplan A E 1986 Phys. Rev. Lett. 57 778
45. Kaplan A E 1985 Phys. Rev. Lett. 55 1291
46. Zhou C, He X T and Chen S 1992 Phys. Rev. A 46 2277
47. Goldstein H 1980 Classical Mechanics 2nd edn (Philippines: Addison-Wesley)
48. Coullet P, Riera C and Tresser C 2000 Phys. Rev. Lett. 84 3069
49. Kubstrup C, Herrero H and Pérez-García C 1996 Phys. Rev. E 54 1560
50. Cross M C and Hohenberg P C 1993 Rev. Mod. Phys. 65 851
51. Christian J M, McDonald G S and Chamorro-Posada P 2006 J. Phys. A: Math. Gen. 39 15355
52. Hong W-P 2002 Opt. Commun. 213 173
53. Kivshar Y S, Anderson D and Lisak M 1993 Phys. Scr. 47 679