Abstract

By the use of an auxiliary equation, we find bright and dark optical soliton and other soliton solutions for the higher-order nonlinear Schrodinger equation (NLSE) with fourth-order dispersion (FOD), cubic-quintic terms, self-steepening, and nonlinear dispersive terms. Moreover, we give the formation condition of the bright and dark solitons for this higher-order NLSE.

© 2005 Chinese Optics Letters

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  2. L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
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  7. V. I. Karpman, Phys. Rev. E 62, 5678 (2000).
  8. H. W. Schurmann, Phys. Rev. E 54, 4312 (1996).
  9. X. P. Xie, S. H. Zhao, X. H. Wang, and G. F. Chen, Acta Photon. Sin. (in Chinese) 31, 429 (2002).
  10. V. I. Karpman, Phys. Lett. A 244, 397 (1998).
  11. S. Liu and W. Wang, Phys. Rev. E 49, 5726 (1994).
  12. H.-M. Li, Y.-S.Xu, and J. Lin, Commun. Theor. Phys. 41, 829 (2004).
  13. Z. J. Ren, J. Wang, A. L. Yang, L. Z. Wang, and J. Wang, Acta Photon. Sin. (in Chinese) 33, 758 (2004).
  14. M. Gedalin, T. C. Scott, and Y. B. Band, Phys. Rev. Lett. 78, 448 (1997).
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  16. Z. H. Li, H. P. Tian, T. Wang, and G. S. Zhou, Acta Opt. Sin. (in Chinese) 23, 289 (2003).
  17. K. Nakkeeran, Chaos, Soliton and Fractals 13, 673 (2002).
  18. A. Ankiewicz, K. Maruno, and N. Akhmediev, Phys. Lett. A 308, 397 (2003).
  19. V. E. Zakharov and A. B. Shabat, Soviet Phys. JETP 34, 62 (1972).
  20. Y. Chen and J. Atai, IEEE J. Quantum Electron. 34, 1301 (1998).

2004 (2)

H.-M. Li, Y.-S.Xu, and J. Lin, Commun. Theor. Phys. 41, 829 (2004).

Z. J. Ren, J. Wang, A. L. Yang, L. Z. Wang, and J. Wang, Acta Photon. Sin. (in Chinese) 33, 758 (2004).

2003 (2)

Z. H. Li, H. P. Tian, T. Wang, and G. S. Zhou, Acta Opt. Sin. (in Chinese) 23, 289 (2003).

A. Ankiewicz, K. Maruno, and N. Akhmediev, Phys. Lett. A 308, 397 (2003).

2002 (2)

K. Nakkeeran, Chaos, Soliton and Fractals 13, 673 (2002).

X. P. Xie, S. H. Zhao, X. H. Wang, and G. F. Chen, Acta Photon. Sin. (in Chinese) 31, 429 (2002).

2001 (1)

S. L. Palacios and J. M. Fernandez-Diaz, J. Mod. Opt. 48, 1691 (2001).

2000 (1)

V. I. Karpman, Phys. Rev. E 62, 5678 (2000).

1999 (1)

S. L. Palacios, A. Guinea, J. M. Fernandez-Diaz, and R. D. Crespo, Phys. Rev. E. 60, 45 (1999).

1998 (2)

Y. Chen and J. Atai, IEEE J. Quantum Electron. 34, 1301 (1998).

V. I. Karpman, Phys. Lett. A 244, 397 (1998).

1997 (1)

M. Gedalin, T. C. Scott, and Y. B. Band, Phys. Rev. Lett. 78, 448 (1997).

1996 (2)

H. W. Schurmann, Phys. Rev. E 54, 4312 (1996).

D. Pushkarov and S. Tanev, Opt. Commun. 124, 354 (1996).

1994 (1)

S. Liu and W. Wang, Phys. Rev. E 49, 5726 (1994).

1980 (1)

L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).

1972 (1)

V. E. Zakharov and A. B. Shabat, Soviet Phys. JETP 34, 62 (1972).

Akhmediev, N.

A. Ankiewicz, K. Maruno, and N. Akhmediev, Phys. Lett. A 308, 397 (2003).

Ankiewicz, A.

A. Ankiewicz, K. Maruno, and N. Akhmediev, Phys. Lett. A 308, 397 (2003).

Atai, J.

Y. Chen and J. Atai, IEEE J. Quantum Electron. 34, 1301 (1998).

Band, Y. B.

M. Gedalin, T. C. Scott, and Y. B. Band, Phys. Rev. Lett. 78, 448 (1997).

Chen, G. F.

X. P. Xie, S. H. Zhao, X. H. Wang, and G. F. Chen, Acta Photon. Sin. (in Chinese) 31, 429 (2002).

Chen, Y.

Y. Chen and J. Atai, IEEE J. Quantum Electron. 34, 1301 (1998).

Crespo, R. D.

S. L. Palacios, A. Guinea, J. M. Fernandez-Diaz, and R. D. Crespo, Phys. Rev. E. 60, 45 (1999).

Fernandez-Diaz, J. M.

S. L. Palacios and J. M. Fernandez-Diaz, J. Mod. Opt. 48, 1691 (2001).

S. L. Palacios, A. Guinea, J. M. Fernandez-Diaz, and R. D. Crespo, Phys. Rev. E. 60, 45 (1999).

Gedalin, M.

M. Gedalin, T. C. Scott, and Y. B. Band, Phys. Rev. Lett. 78, 448 (1997).

Gordon, J. P.

L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).

Guinea, A.

S. L. Palacios, A. Guinea, J. M. Fernandez-Diaz, and R. D. Crespo, Phys. Rev. E. 60, 45 (1999).

Karpman, V. I.

V. I. Karpman, Phys. Rev. E 62, 5678 (2000).

V. I. Karpman, Phys. Lett. A 244, 397 (1998).

Li, H.-M.

H.-M. Li, Y.-S.Xu, and J. Lin, Commun. Theor. Phys. 41, 829 (2004).

Li, Z. H.

Z. H. Li, H. P. Tian, T. Wang, and G. S. Zhou, Acta Opt. Sin. (in Chinese) 23, 289 (2003).

Lin, J.

H.-M. Li, Y.-S.Xu, and J. Lin, Commun. Theor. Phys. 41, 829 (2004).

Liu, S.

S. Liu and W. Wang, Phys. Rev. E 49, 5726 (1994).

Maruno, K.

A. Ankiewicz, K. Maruno, and N. Akhmediev, Phys. Lett. A 308, 397 (2003).

Mollenauer, L. F.

L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).

Nakkeeran,Chaos, K.

K. Nakkeeran, Chaos, Soliton and Fractals 13, 673 (2002).

Palacios, S. L.

S. L. Palacios and J. M. Fernandez-Diaz, J. Mod. Opt. 48, 1691 (2001).

S. L. Palacios, A. Guinea, J. M. Fernandez-Diaz, and R. D. Crespo, Phys. Rev. E. 60, 45 (1999).

Pushkarov, D.

D. Pushkarov and S. Tanev, Opt. Commun. 124, 354 (1996).

Ren, Z. J.

Z. J. Ren, J. Wang, A. L. Yang, L. Z. Wang, and J. Wang, Acta Photon. Sin. (in Chinese) 33, 758 (2004).

Schurmann, H. W.

H. W. Schurmann, Phys. Rev. E 54, 4312 (1996).

Scott, T. C.

M. Gedalin, T. C. Scott, and Y. B. Band, Phys. Rev. Lett. 78, 448 (1997).

Shabat, A. B.

V. E. Zakharov and A. B. Shabat, Soviet Phys. JETP 34, 62 (1972).

Stolen, R. H.

L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).

Tanev, S.

D. Pushkarov and S. Tanev, Opt. Commun. 124, 354 (1996).

Tian, H. P.

Z. H. Li, H. P. Tian, T. Wang, and G. S. Zhou, Acta Opt. Sin. (in Chinese) 23, 289 (2003).

Wang, J.

Z. J. Ren, J. Wang, A. L. Yang, L. Z. Wang, and J. Wang, Acta Photon. Sin. (in Chinese) 33, 758 (2004).

Z. J. Ren, J. Wang, A. L. Yang, L. Z. Wang, and J. Wang, Acta Photon. Sin. (in Chinese) 33, 758 (2004).

Wang, L. Z.

Z. J. Ren, J. Wang, A. L. Yang, L. Z. Wang, and J. Wang, Acta Photon. Sin. (in Chinese) 33, 758 (2004).

Wang, T.

Z. H. Li, H. P. Tian, T. Wang, and G. S. Zhou, Acta Opt. Sin. (in Chinese) 23, 289 (2003).

Wang, W.

S. Liu and W. Wang, Phys. Rev. E 49, 5726 (1994).

Wang, X. H.

X. P. Xie, S. H. Zhao, X. H. Wang, and G. F. Chen, Acta Photon. Sin. (in Chinese) 31, 429 (2002).

Xie, X. P.

X. P. Xie, S. H. Zhao, X. H. Wang, and G. F. Chen, Acta Photon. Sin. (in Chinese) 31, 429 (2002).

Yang, A. L.

Z. J. Ren, J. Wang, A. L. Yang, L. Z. Wang, and J. Wang, Acta Photon. Sin. (in Chinese) 33, 758 (2004).

Zakharov, V. E.

V. E. Zakharov and A. B. Shabat, Soviet Phys. JETP 34, 62 (1972).

Zhao, S. H.

X. P. Xie, S. H. Zhao, X. H. Wang, and G. F. Chen, Acta Photon. Sin. (in Chinese) 31, 429 (2002).

Zhou, G. S.

Z. H. Li, H. P. Tian, T. Wang, and G. S. Zhou, Acta Opt. Sin. (in Chinese) 23, 289 (2003).

Acta Opt. Sin. (in Chinese) (1)

Z. H. Li, H. P. Tian, T. Wang, and G. S. Zhou, Acta Opt. Sin. (in Chinese) 23, 289 (2003).

Acta Photon. Sin. (in Chinese) (2)

Z. J. Ren, J. Wang, A. L. Yang, L. Z. Wang, and J. Wang, Acta Photon. Sin. (in Chinese) 33, 758 (2004).

X. P. Xie, S. H. Zhao, X. H. Wang, and G. F. Chen, Acta Photon. Sin. (in Chinese) 31, 429 (2002).

Commun. Theor. Phys. (1)

H.-M. Li, Y.-S.Xu, and J. Lin, Commun. Theor. Phys. 41, 829 (2004).

IEEE J. Quantum Electron. (1)

Y. Chen and J. Atai, IEEE J. Quantum Electron. 34, 1301 (1998).

J. Mod. Opt. (1)

S. L. Palacios and J. M. Fernandez-Diaz, J. Mod. Opt. 48, 1691 (2001).

Opt. Commun. (1)

D. Pushkarov and S. Tanev, Opt. Commun. 124, 354 (1996).

Phys. Lett. A (2)

V. I. Karpman, Phys. Lett. A 244, 397 (1998).

A. Ankiewicz, K. Maruno, and N. Akhmediev, Phys. Lett. A 308, 397 (2003).

Phys. Rev. E (3)

S. Liu and W. Wang, Phys. Rev. E 49, 5726 (1994).

V. I. Karpman, Phys. Rev. E 62, 5678 (2000).

H. W. Schurmann, Phys. Rev. E 54, 4312 (1996).

Phys. Rev. E. (1)

S. L. Palacios, A. Guinea, J. M. Fernandez-Diaz, and R. D. Crespo, Phys. Rev. E. 60, 45 (1999).

Phys. Rev. Lett. (2)

L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).

M. Gedalin, T. C. Scott, and Y. B. Band, Phys. Rev. Lett. 78, 448 (1997).

Soliton and Fractals (1)

K. Nakkeeran, Chaos, Soliton and Fractals 13, 673 (2002).

Soviet Phys. JETP (1)

V. E. Zakharov and A. B. Shabat, Soviet Phys. JETP 34, 62 (1972).

Other (3)

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142; 171 (1973).

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 1995).

A. Hasegawa and Y. Kodama, Solitons in Optical Communication (Oxford Universty Press, New York, 1995).

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