Two-component vector solitons in defocusing Kerr-type media with spatially modulated nonlinearity Academic Article

abstract

• 2014 Elsevier Inc. We present a class of exact solutions to the coupled (2. +. 1)-dimensional nonlinear Schrdinger equation with spatially modulated nonlinearity and a special external potential, which describe the evolution of two-component vector solitons in defocusing Kerr-type media. We find a robust soliton solution, constructed with the help of Whittaker functions. For specific choices of the topological charge, the radial mode number and the modulation depth, the solitons may exist in various forms, such as the half-moon, necklace-ring, and sawtooth vortex-ring patterns. Our results show that the profile of such solitons can be effectively controlled by the topological charge, the radial mode number, and the modulation depth.

authors

• Belic, Milivoj

published proceedings

• ANNALS OF PHYSICS

author list (cited authors)

• Zhong, W., & Belic, M.

citation count

• 14

complete list of authors

• Zhong, Wei-Ping||Belić, Milivoj

publication date

• December 2014

publisher

• Elsevier  Publisher

published in

• ANNALS OF PHYSICS  Journal

keywords

• Coupled Nls Equation
• Half-moon Soliton
• Necklace-ring Soliton
• Vortex-ring Soliton

Digital Object Identifier (DOI)

• 10.1016/j.aop.2014.10.003

start page

• 787

end page

• 796

volume

• 351

URL

• http://dx.doi.org/10.1016/j.aop.2014.10.003