Stable one-dimensional periodic waves in Kerr-type saturable and quadratic nonlinear media

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 6, Issue 5, 2004, Pages

  Kartashov, Yaroslav V ^a,b   Egorov, Alexey A ^b   Vysloukh, Victor A ^c   Torner, Lluis ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c UNIVERSIDAD DE LAS AMÉRICAS PUEBLA   (Mexico)

Author keywords

Cnoidal waves; Optical solitons

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTROOPTICAL EFFECTS; ENERGY TRANSFER; NONLINEAR OPTICS; NUMERICAL ANALYSIS; PHOTOREFRACTIVE MATERIALS; SOLITONS;

CNOIDAL WAVES; KERR MEDIA; OPTICAL SOLITON;

OPTICAL KERR EFFECT;

EID: 2942597677     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4266/6/5/016     Document Type: Review

References (50)

1. Akhmediev N N and Ankiewicz A 1997 Solitons (London: Chapman and Hall)
2. Kivshar Yu S and Agrawal G 2003 Optical Solitons (New York: Academic)
3. Kamchatnov A M 2000 Nonlinear Periodic Waves and Their Modulations (Dordrecht: Kluwer-Academic)
4. Infeld E and Rowlands R 1990 Nonlinear Waves, Solitons and Chaos (Cambridge: Cambridge University Press)
5. Yuen H C and Lake B M 1982 Nonlinear Dynamics of Deep-Water Gravity Waves (New York: Academic)
6. Kuznetsov E A, Rubenchik A M and Zakharov V E 1986 Phys. Rep. 142 103
7. Fleischer J W, Segev M, Efremidis N K and Christodoulides D N 2003 Nature 422 147
8. Fil'chenkov S E, Fraiman G M and Yunakovskii A D 1987 Sov. J. Plasma Phys. 13 554
9. Pavlenko V P and Petviashvili V I 1982 Sov. J. Plasma Phys. 8 117
10. Martin D U, Yuen H C and Saffman P G 1980 Wave Motion 2 215
11. Kudashev V P and Mikhailovsky A B 1986 Sov. Phys. - JETP 63 972
12. Petnikova V M, Shuvalov V V and Vysloukh V A 1999 Phys. Rev. E 60 1009
13. Hioe F T 1999 Phys. Rev. Lett. 82 1152
14. Aleshkevich V, Kartashov Y and Vysloukh V 2000 Opt. Commun. 185 305
15. Aleshkevich V, Kartashov Y and Vysloukh V 2001 J. Opt. Soc. Am. B 18 1127
16. Aleshkevich V, Kartashov Y and Vysloukh V 2001 Opt. Commun. 190 373
17. Kartashov Y V, Vysloukh V A, Marti-Panameno E, Artigas D and Torner L 2003 Phys. Rev. E 68 026613
18. Aleshkevich V A, Vysloukh V A and Kartashov Y V 2001 Quantum Electron. 31 257
19. Kartashov Y V, Vysloukh V A and Torner L 2003 Phys. Rev. E 68 015603(R)
20. Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063610
21. Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063611
22. Bronski J C, Carr L D, Deconinck B, Kutz J N and Promislow K 2001 Phys. Rev. E 63 036612
23. Bronski J C, Carr L D, Carretero-Gonzalez R, Deconinck B, Kutz J N and Promislow K 2001 Phys. Rev. E 64 056615
24. Bronski J C, Carr L D, Deconinck B and Kutz J N 2001 Phys. Rev. Lett. 86 1402
25. Ankiewicz A, Maruno K-I and Akhmediev N 2003 Phys. Lett. A 308 397
26. Maruno K-I, Ankiewicz A and Akhmediev N 2003 Physica D 176 44
27. Kartashov Y V, Aleshkevich V A, Vysloukh V A, Egorov A A and Zelenina A S 2003 Phys. Rev. E 67 036613
28. Kartashov Y V, Aleshkevich V A, Vysloukh V A, Egorov A A and Zelenina A S 2003 J. Opt. Soc. Am. B 20 1273
29. Aleshkevich V A, Egorov A A, Kartashov Y V, Vysloukh V A and Zelenina A S 2003 Phys. Rev. E 67 066605
30. Duree G C, Shultz J L, Salamo G J, Segev M, Yariv A, Crosignani B, Di Porto P, Sharp E J and Neurgaonkar R R 1993 Phys. Rev. Lett. 71 533
31. Segev M, Valley G C, Crosignani B, Di Porto P and Yariv A 1994 Phys. Rev. Lett. 73 3211
32. Duree G, Salamo G, Segev M, Yariv A, Crosignani B, Di Porto P and Sharp E 1994 Opt. Lett. 19 1195
33. Shih M, Leach P, Segev M, Garrett M H, Salamo G and Valley G C 1996 Opt. Lett. 21 324
34. Stegeman G I and Segev M 1999 Science 286 1518
35. Kartashov Y V, Egorov A A, Zelenina A S, Vysloukh V A and Torner L 2003 Phys. Rev. E 68 065605(R)
36. Gordon J P 1983 Opt. Lett. 8 596
37. Menyuk C R, Schiek R and Torner L 1994 J. Opt. Soc. Am. B 11 2434
38. Stegeman G I, Hagan D J and Torner L 1996 Opt. Quantum Electron. 28 1691
39. Buryak A V, Di Trapani P, Skryabin D V and Trillo S 2002 Phys. Rep. 370 63
40. Torner L and Barthelemy A 2003 IEEE J. Quantum Electron. 39 22
41. Ferro P and Trillo S 1995 Phys. Rev. E 51 4994
42. Parker D F 1998 J. Opt. Soc. Am. B 15 1061
43. Lafortune S, Winternitz P and Menyuk C R 1998 Phys. Rev. E 58 2518
44. Kartashov Y V, Egorov A A, Zelenina A S, Vysloukh V A and Torner L 2004 Phys. Rev. Lett. 92 033901
45. Kartashov Y V, Vysloukh V A and Torner L 2003 Phys. Rev. E 67 066612
46. Kartashov Y V, Egorov A A, Zelenina A S, Vysloukh V A and Torner L 2003 Phys. Rev. E 68 046609
47. Buryak A V and Kivshar Y S 1995 Phys. Rev. A 51 R41
48. Buryak A V and Kivshar Y S 1995 Opt. Lett. 20 834
49. Bramati A, Chinaglia W, Minardi S and Di Trapani P 2001 Opt. Lett. 26 1409
50. Minardi S, Arrighi G, Di Trapani P, Varanavicius A and Piskarskas A 2002 Opt. Lett. 27 2097