Three-dimensional spatiotemporal vector solitary waves

W.-P. Zhong, M. Belic, G. Assanto and T. Huang

J. Phys. B: At. Mol. Opt. Phys. 44, 095403 (2011)

Abstract:

We investigate three-dimensional (3D) spatiotemporal vector solitary waves in spherical coordinates. The exact 3D analytical nonstationary (slowly expanding) solutions are obtained by the separation of variables and the Hirota bilinear method. Novel 3D spatiotemporal vector solitary waves are built with the help of spherical harmonics include multipole and necklace rings.