Abstract

The effect of third-order dispersion on breathing localized solutions in the quintic complex Ginzburg-Landau (CGL) equation is investigated. It is found that even small third-order dispersion can cause dramatic changes in the behavior of the solutions, such as breathing solution asymmetrically and travelling slowly towards the right for the positive third-order dispersion. A little larger third-order dispersion causes the solution breathing only on one side and the other side keeping the soliton profile. For the negative dispersion, the same results can be obtained except for the change of the traveling direction. Otherwise, we analyzed the interaction of two breathing solitons and found a simple method to inhibit this interaction.

© 2005 Chinese Optics Letters

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  1. P. Kolodner, D. Bensimon, and C. M. Surko, Phys. Rev. Lett. 60, 1723 (1988).
  2. W. van Saarloos and P. C. Hohenberg, Phys. Rev. Lett. 64, 749 (1990).
  3. L. Gagnon and P. A. Belanger, Phys. Rev. A 43, 6187 (1991).
  4. Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).
  5. H. P. Tian, Z. H. Li, J. P. Tian, G. S. Zhou, and J. Zi, Appl. Phys. B 78, 199 (2004).
  6. H. R. Brand and R. J. Deissler, Phys. Rev. Lett. 63, 2801 (1989).
  7. J. M. Soto-Crespo, N. Akhmediev, and A. Ankiewicz, Phys. Rev. Lett. 85, 2937 (2000).
  8. R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 81, 3856 (1998).
  9. N. N. Akhmediev, J. M. Soto-Crespo, and G. Town, Phys. Rev. E 63, 056602 (2001).
  10. R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 72, 478 (1994).
  11. W. van Saarloos, Phys. Rev. A 37, 211 (1988).
  12. W. van Saarloos, Phys. Rev. A 39, 6367 (1989).
  13. L. Song, W. Pei, Y. Song, and G. Zhou, Acta Photon. Sin. 32, 1163 (2003).
  14. S. Guo, W. Xue, Z. Li, and G. Zhou, Acta Opt. Sin. 21, 652 (2001).
  15. X. Zhang and X. Wang, Acta Opt. Sin. 24, 16 (2004).
  16. K. Luo and Q. Liu, Chin. J. Quantum Electron. 19, 174 (2002).
  17. D. Yin and H. Li, Chin. J. Quantum Electron. 19, 180 (2002).
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  19. N. Akhmediev and A. Ankiewicz, Solions: Nonlinear Pulses and Beams (Chapman & Hall, London, 1997) pp.203-213.
  20. G. P. Agrawal, Nonlinear Fiber Optics & Applications of Nonlinear Fiber Optics (in Chinese) D. Jia, Z. Yu, B. Tan, Z. Hu, and S. Li (trans.) (Publishing House of Electronics Industry, Beijing, 2002) pp.49-51.
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2004 (2)

H. P. Tian, Z. H. Li, J. P. Tian, G. S. Zhou, and J. Zi, Appl. Phys. B 78, 199 (2004).

X. Zhang and X. Wang, Acta Opt. Sin. 24, 16 (2004).

2003 (1)

L. Song, W. Pei, Y. Song, and G. Zhou, Acta Photon. Sin. 32, 1163 (2003).

2002 (4)

K. Luo and Q. Liu, Chin. J. Quantum Electron. 19, 174 (2002).

D. Yin and H. Li, Chin. J. Quantum Electron. 19, 180 (2002).

S. T. Cundiff, J. M. Soto-Crespo, and N. Akhmediev, Phys. Rev. Lett. 88, 073903 (2002).

Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).

2001 (2)

S. Guo, W. Xue, Z. Li, and G. Zhou, Acta Opt. Sin. 21, 652 (2001).

N. N. Akhmediev, J. M. Soto-Crespo, and G. Town, Phys. Rev. E 63, 056602 (2001).

2000 (1)

J. M. Soto-Crespo, N. Akhmediev, and A. Ankiewicz, Phys. Rev. Lett. 85, 2937 (2000).

1998 (1)

R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 81, 3856 (1998).

1994 (1)

R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 72, 478 (1994).

1991 (1)

L. Gagnon and P. A. Belanger, Phys. Rev. A 43, 6187 (1991).

1990 (1)

W. van Saarloos and P. C. Hohenberg, Phys. Rev. Lett. 64, 749 (1990).

1989 (2)

H. R. Brand and R. J. Deissler, Phys. Rev. Lett. 63, 2801 (1989).

W. van Saarloos, Phys. Rev. A 39, 6367 (1989).

1988 (2)

P. Kolodner, D. Bensimon, and C. M. Surko, Phys. Rev. Lett. 60, 1723 (1988).

W. van Saarloos, Phys. Rev. A 37, 211 (1988).

Akhmediev, N.

S. T. Cundiff, J. M. Soto-Crespo, and N. Akhmediev, Phys. Rev. Lett. 88, 073903 (2002).

J. M. Soto-Crespo, N. Akhmediev, and A. Ankiewicz, Phys. Rev. Lett. 85, 2937 (2000).

Akhmediev, N. N.

N. N. Akhmediev, J. M. Soto-Crespo, and G. Town, Phys. Rev. E 63, 056602 (2001).

Ankiewicz, A.

J. M. Soto-Crespo, N. Akhmediev, and A. Ankiewicz, Phys. Rev. Lett. 85, 2937 (2000).

Belanger, P. A.

L. Gagnon and P. A. Belanger, Phys. Rev. A 43, 6187 (1991).

Bensimon, D.

P. Kolodner, D. Bensimon, and C. M. Surko, Phys. Rev. Lett. 60, 1723 (1988).

Br, H. R.

H. R. Brand and R. J. Deissler, Phys. Rev. Lett. 63, 2801 (1989).

Brand, H. R.

R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 81, 3856 (1998).

R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 72, 478 (1994).

Cundiff, S. T.

S. T. Cundiff, J. M. Soto-Crespo, and N. Akhmediev, Phys. Rev. Lett. 88, 073903 (2002).

Deissler, R. J.

R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 81, 3856 (1998).

R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 72, 478 (1994).

H. R. Brand and R. J. Deissler, Phys. Rev. Lett. 63, 2801 (1989).

Gagnon, L.

L. Gagnon and P. A. Belanger, Phys. Rev. A 43, 6187 (1991).

Guo, S.

S. Guo, W. Xue, Z. Li, and G. Zhou, Acta Opt. Sin. 21, 652 (2001).

Hohenberg, P. C.

W. van Saarloos and P. C. Hohenberg, Phys. Rev. Lett. 64, 749 (1990).

Kolodner, P.

P. Kolodner, D. Bensimon, and C. M. Surko, Phys. Rev. Lett. 60, 1723 (1988).

Li, H.

D. Yin and H. Li, Chin. J. Quantum Electron. 19, 180 (2002).

Li, L.

Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).

Li, Z.

Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).

S. Guo, W. Xue, Z. Li, and G. Zhou, Acta Opt. Sin. 21, 652 (2001).

Li, Z. H.

H. P. Tian, Z. H. Li, J. P. Tian, G. S. Zhou, and J. Zi, Appl. Phys. B 78, 199 (2004).

Liu, Q.

K. Luo and Q. Liu, Chin. J. Quantum Electron. 19, 174 (2002).

Luo, K.

K. Luo and Q. Liu, Chin. J. Quantum Electron. 19, 174 (2002).

Pei, W.

L. Song, W. Pei, Y. Song, and G. Zhou, Acta Photon. Sin. 32, 1163 (2003).

Saarloos, W. van

W. van Saarloos and P. C. Hohenberg, Phys. Rev. Lett. 64, 749 (1990).

W. van Saarloos, Phys. Rev. A 39, 6367 (1989).

W. van Saarloos, Phys. Rev. A 37, 211 (1988).

Song, L.

L. Song, W. Pei, Y. Song, and G. Zhou, Acta Photon. Sin. 32, 1163 (2003).

Song, Y.

L. Song, W. Pei, Y. Song, and G. Zhou, Acta Photon. Sin. 32, 1163 (2003).

Soto-Crespo, J. M.

S. T. Cundiff, J. M. Soto-Crespo, and N. Akhmediev, Phys. Rev. Lett. 88, 073903 (2002).

N. N. Akhmediev, J. M. Soto-Crespo, and G. Town, Phys. Rev. E 63, 056602 (2001).

J. M. Soto-Crespo, N. Akhmediev, and A. Ankiewicz, Phys. Rev. Lett. 85, 2937 (2000).

Spatschek, K. H.

Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).

Surko, C. M.

P. Kolodner, D. Bensimon, and C. M. Surko, Phys. Rev. Lett. 60, 1723 (1988).

Tian, H.

Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).

Tian, H. P.

H. P. Tian, Z. H. Li, J. P. Tian, G. S. Zhou, and J. Zi, Appl. Phys. B 78, 199 (2004).

Tian, J. P.

H. P. Tian, Z. H. Li, J. P. Tian, G. S. Zhou, and J. Zi, Appl. Phys. B 78, 199 (2004).

Town, G.

N. N. Akhmediev, J. M. Soto-Crespo, and G. Town, Phys. Rev. E 63, 056602 (2001).

Wang, X.

X. Zhang and X. Wang, Acta Opt. Sin. 24, 16 (2004).

Xue, W.

S. Guo, W. Xue, Z. Li, and G. Zhou, Acta Opt. Sin. 21, 652 (2001).

Yin, D.

D. Yin and H. Li, Chin. J. Quantum Electron. 19, 180 (2002).

Zhang, X.

X. Zhang and X. Wang, Acta Opt. Sin. 24, 16 (2004).

Zhou, G.

L. Song, W. Pei, Y. Song, and G. Zhou, Acta Photon. Sin. 32, 1163 (2003).

Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).

S. Guo, W. Xue, Z. Li, and G. Zhou, Acta Opt. Sin. 21, 652 (2001).

Zhou, G. S.

H. P. Tian, Z. H. Li, J. P. Tian, G. S. Zhou, and J. Zi, Appl. Phys. B 78, 199 (2004).

Zi, J.

H. P. Tian, Z. H. Li, J. P. Tian, G. S. Zhou, and J. Zi, Appl. Phys. B 78, 199 (2004).

Acta Opt. Sin. (2)

S. Guo, W. Xue, Z. Li, and G. Zhou, Acta Opt. Sin. 21, 652 (2001).

X. Zhang and X. Wang, Acta Opt. Sin. 24, 16 (2004).

Acta Photon. Sin. (1)

L. Song, W. Pei, Y. Song, and G. Zhou, Acta Photon. Sin. 32, 1163 (2003).

Appl. Phys. B (1)

H. P. Tian, Z. H. Li, J. P. Tian, G. S. Zhou, and J. Zi, Appl. Phys. B 78, 199 (2004).

Chin. J. Quantum Electron. (2)

K. Luo and Q. Liu, Chin. J. Quantum Electron. 19, 174 (2002).

D. Yin and H. Li, Chin. J. Quantum Electron. 19, 180 (2002).

Phys. Rev. A (3)

L. Gagnon and P. A. Belanger, Phys. Rev. A 43, 6187 (1991).

W. van Saarloos, Phys. Rev. A 37, 211 (1988).

W. van Saarloos, Phys. Rev. A 39, 6367 (1989).

Phys. Rev. E (1)

N. N. Akhmediev, J. M. Soto-Crespo, and G. Town, Phys. Rev. E 63, 056602 (2001).

Phys. Rev. Lett. (8)

R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 72, 478 (1994).

Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).

P. Kolodner, D. Bensimon, and C. M. Surko, Phys. Rev. Lett. 60, 1723 (1988).

W. van Saarloos and P. C. Hohenberg, Phys. Rev. Lett. 64, 749 (1990).

H. R. Brand and R. J. Deissler, Phys. Rev. Lett. 63, 2801 (1989).

J. M. Soto-Crespo, N. Akhmediev, and A. Ankiewicz, Phys. Rev. Lett. 85, 2937 (2000).

R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 81, 3856 (1998).

S. T. Cundiff, J. M. Soto-Crespo, and N. Akhmediev, Phys. Rev. Lett. 88, 073903 (2002).

Other (3)

N. Akhmediev and A. Ankiewicz, Solions: Nonlinear Pulses and Beams (Chapman & Hall, London, 1997) pp.203-213.

G. P. Agrawal, Nonlinear Fiber Optics & Applications of Nonlinear Fiber Optics (in Chinese) D. Jia, Z. Yu, B. Tan, Z. Hu, and S. Li (trans.) (Publishing House of Electronics Industry, Beijing, 2002) pp.49-51.

P. L. Chu and C. Desem, Electron. Lett. 21, 1133 (1985) and references therein.

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