Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrodinger equations with variable coefficients Academic Article

abstract

• We introduce three-dimensional (3D) spatiotemporal vector solitary waves in coupled (3 + 1)D nonlinear Schrdinger 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.

authors

• Belic, Milivoj

published proceedings

• JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

author list (cited authors)

• Xu, S., Belic, M. R., & Zhong, W.

citation count

• 19

complete list of authors

• Xu, Si-Liu||Belic, Milivoj R||Zhong, Wei-Ping

publication date

• January 2013

publisher

• Optica Publishing Group  Publisher

published in

• Journal of the Optical Society of America. B, Optical physics  Journal

keywords

• 40 Engineering
• 4008 Electrical Engineering
• 51 Physical Sciences
• 5102 Atomic, Molecular And Optical Physics
• 5108 Quantum Physics

Digital Object Identifier (DOI)

• 10.1364/JOSAB.30.000113

start page

• 113

end page

• 122

volume

• 30

issue

• 1

URL

• http://dx.doi.org/10.1364/josab.30.000113