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

Si Liu Xu*, Milivoj R. Belic, Wei Ping Zhong

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)113-122
Number of pages10
JournalJournal of the Optical Society of America B: Optical Physics
Volume30
Issue number1
DOIs
Publication statusPublished - Jan 2013
Externally publishedYes

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