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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 1 — Jan. 1, 2013
  • pp: 113–122

Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrödinger equations with variable coefficients

Si-Liu Xu, Milivoj R. Belić, and Wei-Ping Zhong  »View Author Affiliations

JOSA B, Vol. 30, Issue 1, pp. 113-122 (2013)

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We introduce three-dimensional (3D) spatiotemporal vector solitary waves in coupled (3+1)D nonlinear Schrödinger equations with variable diffraction and nonlinearity coefficients. The analysis is carried out in spherical coordinates, providing for novel localized solutions. Using the Hirota bilinear method, 3D approximate but analytical spatiotemporal vector solitary waves are built with the help of spherical harmonics, including multipole solutions and necklace rings. Variable diffraction and nonlinearity allow utilization of soliton management methods. The comparison with numerical solutions is provided and the behavior of relative error is displayed. It is demonstrated that the spatiotemporal soliton profiles found are stable in propagation.

© 2012 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: July 19, 2012
Revised Manuscript: October 19, 2012
Manuscript Accepted: November 7, 2012
Published: December 12, 2012

Si-Liu Xu, Milivoj R. Belić, and Wei-Ping Zhong, "Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrödinger equations with variable coefficients," J. Opt. Soc. Am. B 30, 113-122 (2013)

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