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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 5 — May. 1, 2013
  • pp: 1276–1283

Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity

Wei-Ping Zhong, Milivoj R. Belić, and Tingwen Huang  »View Author Affiliations


JOSA B, Vol. 30, Issue 5, pp. 1276-1283 (2013)
http://dx.doi.org/10.1364/JOSAB.30.001276


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Abstract

Using multivariate self-similarity transformation, we construct explicit spatial bright and dark solitary wave solutions of the generalized nonlinear Schrödinger equation with spatially Bessel-modulated nonlinearity and an external potential. Special kinds of explicit solutions, such as periodically breathing bright and dark solitary waves, are discussed in detail. The stability of these solutions is verified by means of direct numerical simulation.

© 2013 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: January 17, 2013
Revised Manuscript: March 15, 2013
Manuscript Accepted: March 15, 2013
Published: April 19, 2013

Citation
Wei-Ping Zhong, Milivoj R. Belić, and Tingwen Huang, "Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity," J. Opt. Soc. Am. B 30, 1276-1283 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-5-1276

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