Generation, compression, and propagation of pulse trains in the nonlinear Schrödinger equation with distributed coefficients

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 3, 2005, Pages

  Wang, Luyun ^a,b   Li, Lu ^a,b   Li, Zhonghao ^a,b   Zhou, Guosheng ^a,b   Mihalache, Dumitru ^b  

^a SHANXI UNIVERSITY   (China)

^b HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL FIBER SYSTEM; DISTRIBUTED DISPERSION; PULSE TRAINS;

DISPERSION (WAVES); NONLINEAR EQUATIONS; NUMERICAL METHODS; OPTICAL FIBERS; SOLITONS; WAVE EQUATIONS;

LIGHT PROPAGATION;

EID: 28844493562     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.036614     Document Type: Article

References (63)

1. G. I. A. Stegeman, D. N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. IJSQEN 1077-260X 10.1109/2944.902197 6, 1419 (2000).
2. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003).
3. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/7/5/R02 7, R53 (2005).
4. A. Hasegawa and F. Tappert, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1654836 23, 142 (1973);
5. A. Hasegawa and F. Tappert, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1654847 23, 171 (1973).
6. L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.1095 45, 1095 (1980).
7. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford University Press, Oxford, 1995).
8. G. P. Agrawal, Nonlinear Fiber Optics (Academic, New York, 1995).
9. N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman and Hall, London, 1997).
10. M. Nakazawa, H. Kubota, K. Suzuki, and E. Yamada, Chaos CHAOEH 1054-1500 10.1063/1.1311394 10, 486 (2002).
11. R. Hirota, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1666399 14, 805 (1973).
12. N. Sasa and J. Satsuma, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.60.409 60, 409 (1991).
13. D. Mihalache, L. Torner, F. Moldoveanu, N.-C. Panoiu, and N. Truta, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.4699 48, 4699 (1993).
14. D. Mihalache, N.-C. Panoiu, F. Moldoveanu, and D.-M. Baboiu, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/27/18/026 27, 6177 (1994).
15. K. Porsezian and K. Nakkeeran, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.3955 76, 3955 (1996).
16. M. Gedalin, T. C. Scott, and Y. B. Band, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.448 78, 448 (1997);
17. D. Mihalache, N. Truta, and L.-C. Crasovan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.1064 56, 1064 (1997).
18. Z. Y. Xu, L. Li, Z. H. Li, and G. S. Zhou, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(02)01803-5 210, 375 (2002);
19. Z. Y. Xu, L. Li, Z. H. Li, and G. S. Zhou, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.026603 67, 026603 (2003).
20. L. Li, W. Xue, Z. Xu, Z. Li, and G. Zhuo, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/3/315 36, 817 (2003).
21. Y. S. Kivshar and V. V. Afanasjev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.R1446 44, R1446 (1991).
22. S. L. Palacios, A. Guinea, J. M. Fernandez-Diaz, and R. D. Crespo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.R45 60, R45 (1999).
23. A. Mahalingam and K. Porsezian, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.046608 64, 046608 (2001).
24. L. Li, Z. Li, Z. Xu, G. Zhou, and K. H. Spatschek, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046616 66, 046616 (2002).
25. Z. H. Li, L. Li, H. P. Tian, and G. S. Zhou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4096 84, 4096 (2000).
26. W. P. Hong, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(01)01267-6 194, 217 (2001).
27. Q-Han Park and H. J. Shin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4432 82, 4432 (1999).
28. L. Li, Z. H. Li, S. Q. Li, and G. S. Zhou, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2004.02.022 234, 169 (2004).
29. S. Q. Li, L. Li, Z. H. Li, and G. S. Zhou, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.21.002089 21, 2089 (2004).
30. V. N. Serkin and A. Hasegawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4502 85, 4502 (2000);
31. V. N. Serkin and A. Hasegawa, JETP Lett. JTPLA2 0021-3640 10.1134/1.1312019 72, 89 (2000);
32. V. N. Serkin and A. Hasegawa, IEEE J. Sel. Top. Quantum Electron. IJSQEN 1077-260X 10.1109/JSTQE.2002.1016344 8, 418 (2002).
33. V. N. Serkin and T. L. Belyaeva, JETP Lett. JTPLA2 0021-3640 10.1134/1.1455063 74, 573 (2001).
34. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.113902 90, 113902 (2003).
35. I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.3624 55, 3624 (1995).
36. T. I. Lakoba and D. J. Kaup, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.6728 58, 6728 (1998).
37. S. Kumar, M. Wald, F. Lederer, and A. Hasegawa, Opt. Lett. OPLEDP 0146-9592 23, 1019 (1998).
38. S. K. Turitsyn and E. G. Shapiro, J. Opt. Soc. Am. B JOBPDE 0740-3224 16, 1321 (1999).
39. B. A. Malomed and A. Berntson, J. Opt. Soc. Am. B JOBPDE 0740-3224 18, 1243 (2001).
40. M. J. Ablowitz and G. Biondini, Opt. Lett. OPLEDP 0146-9592 23, 1668 (1998);
41. M. J. Ablowitz and T. Hirooka, IEEE J. Sel. Top. Quantum Electron. IJSQEN 1077-260X 10.1109/JSTQE.2002.1016364 8, 603 (2002);
42. M. J. Ablowitz and J. T. Moeser, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.29.000821 29, 821 (2004).
43. J. D. Moores, Opt. Lett. OPLEDP 0146-9592 21, 555 (1996).
44. S. Kumar and A. Hasegawa, Opt. Lett. OPLEDP 0146-9592 22, 372 (1997).
45. M. N. Vinoj, V. C. Kuriakose, and K. Porsezian, Chaos, Solitons Fractals CSFOEH 0960-0779 10.1016/S0960-0779(00)00217-4 12, 2569 (2001).
46. Y. Xiao, Z. Xu, L. Li, Z. Li, and G. Zhou, J. Nonlinear Opt. Phys. Mater. JNOMFV 0218-1991 10.1142/S0218863503001444 12, 341 (2003).
47. R. Y. Hao, L. Li, Z. H. Li, and G. S. Zhou, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2004.03.005 236, 79 (2004);
48. R. Y. Hao, L. Li, Z. H. Li, and G. S. Zhou, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066603 70, 066603 (2004).
49. N. N. Akhmediev and N. V. Mitzkevich, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/3.81399 27, 849 (1991).
50. D. Mihalache and N. C. Panoiu, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/11/016 26, 2679 (1993);
51. D. Mihalache, F. Lederer, and D.-M. Baboiu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.3285 47, 3285 (1993).
52. L. Gagnon, J. Opt. Soc. Am. B JOBPDE 0740-3224 10, 469 (1993);
53. N. Akhmediev and A. Ankiewicz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.3213 47, 3213 (1993).
54. M. J. Ablowitz and P. A. Clarkson, Soliton, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, Cambridge, 1991).
55. T. B. Benjamin and J. E. Feir, J. Fluid Mech. JFLSA7 0022-1120 27, 417 (1967).
56. L. A. Ostrovskii, Sov. Phys. JETP SPHJAR 0038-5646 24, 797 (1969);
57. K. Tai, A. Hasegawa, and A. Tomita, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.135 56, 135 (1986);
58. G. P. Agrawal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.880 59, 880 (1987).
59. T. Taniuti and H. Washimi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.21.209 21, 209 (1968);
60. A. Hasegawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.24.1162 24, 1162 (1970).
61. A. Smerzi, A. Trombettoni, P. G. Kevrekidis, and A. R. Bishop, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.170402 89, 170402 (2002);
62. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.080405 91, 080405 (2003).
63. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.056619 71, 056619 (2005).