OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 21, Iss. 11 — Nov. 1, 2004
  • pp: 1908–1912

Combined solitary-wave solution for coupled higher-order nonlinear Schrödinger equations

Jinping Tian, Huiping Tian, Zhonghao Li, and Guosheng Zhou  »View Author Affiliations


JOSA B, Vol. 21, Issue 11, pp. 1908-1912 (2004)
http://dx.doi.org/10.1364/JOSAB.21.001908


View Full Text Article

Acrobat PDF (671 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Coupled nonlinear Schrödinger equations model several interesting physical phenomena. We used a trigonometric function transform method based on a homogeneous balance to solve the coupled higher-order nonlinear Schrödinger equations. We obtained four pairs of exact solitary-wave solutions including a dark and a bright-soliton pair, a bright- and a dark-soliton pair, a bright- and a bright-soliton pair, and the last pair, a combined bright–dark-soliton pair.

© 2004 Optical Society of America

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.4510) Fiber optics and optical communications : Optical communications
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(320.7140) Ultrafast optics : Ultrafast processes in fibers

Citation
Jinping Tian, Huiping Tian, Zhonghao Li, and Guosheng Zhou, "Combined solitary-wave solution for coupled higher-order nonlinear Schrödinger equations," J. Opt. Soc. Am. B 21, 1908-1912 (2004)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-21-11-1908


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. A. Mahalingam and K. Porsezian, “Propagation of dark solitons in a system of coupled higher-order nonlinear Schrödinger equations,” J. Phys. A Math. Nucl. Gen. 35, 3099–3110 (2002).
  2. S. V. Manakov, “On the theory of two-dimensional stationary self-focusing of electromagnetic waves,” Sov. Phys. JETP 38, 248–253 (1974).
  3. R. Sahadevan, K. M. Tamizhmani, and M. Lakshmanan, “Painleve analysis and integrability of coupled non-linear Schrödinger equations,” J. Phys. A 19, 1783–1792 (1986).
  4. R. Radhakrishnan and M. Lakshmanan, “Bright and dark soliton solutions to coupled nonlinear Schrödinger equations,” J. Phys. A 28, 2683–2692 (1995).
  5. K. Porsezian and K. Nakkeeran, “Optical solitons in birefringent fibre—Bäcklund transformation approach,” Pure Appl. Opt. 6, L7–L11 (1997).
  6. K. Porsezian, P. Shanmugha Sundaram, and A. Mahalingam, “Complete integrability of N-coupled higher-order nonlinear Schrödinger equations in nonlinear optics,” J. Phys. A Math. Nucl. Gen. 32, 8731–8738 (1999).
  7. C. Yan, “A simple transformation for nonlinear waves,” Phys. Lett. A 224, 77–84 (1996).
  8. N. Sasa and J. Satsuma, “New-type soliton solution for a higher-order nonlinear Schrödinger equation,” J. Phys. Soc. Jpn. 60, 409–417 (1991).
  9. R. Radhakrishnan and M. Lakshmanan, “Exact soliton solutions to coupled nonlinear Schrödinger equations with higher-order effects,” Phys. Rev. E 54, 2949–2955 (1996).
  10. D. Cao, J. Yan, and Y. Zhang, “Exact solutions for a new coupled MKdV equations and a coupled KdV equations,” Phys. Lett. A 297, 68–71 (2002).
  11. Z. H. Li, L. Li, H. P. Tian, and G. S. Zhou, “New types of solitary wave solutions for the higher order nonlinear Schrödinger equation,” Phys. Rev. Lett. 84, 4096–4099 (2000).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited