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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 1 — Jan. 1, 2011
  • pp: 123–127

Exact combined solitary wave solutions in nonlinear metamaterials

Rongcao Yang and Yu Zhang  »View Author Affiliations


JOSA B, Vol. 28, Issue 1, pp. 123-127 (2011)
http://dx.doi.org/10.1364/JOSAB.28.000123


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Abstract

We consider the generalized nonlinear Schrödinger equation describing the propagation of ultrashort pulses in nonlinear metamaterials and find exact combined solitary wave solutions describing the simultaneous propagation of bright and dark solitary waves in a combined form. Based on the Drude model, we discuss the existence conditions and the properties of the combined solitary waves. Furthermore, we analytically and numerically investigate the stability of the combined solitary waves under small perturbations. The results show that bright and dark solitary waves may combine together under certain conditions and propagate stably with a proper form in metamaterials.

© 2011 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4400) Nonlinear optics : Nonlinear optics, materials
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(160.3918) Materials : Metamaterials

ToC Category:
Nonlinear Optics

History
Original Manuscript: June 14, 2010
Revised Manuscript: September 19, 2010
Manuscript Accepted: November 11, 2010
Published: December 20, 2010

Citation
Rongcao Yang and Yu Zhang, "Exact combined solitary wave solutions in nonlinear metamaterials," J. Opt. Soc. Am. B 28, 123-127 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-1-123

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