Bright-type and dark-type vector solitons of the (2+1)-dimensional spatially modulated quintic nonlinear Schrodinger equation in nonlinear optics and Bose-Einstein condensate

We study a (2 + 1)-dimensional N-coupled quintic nonlinear Schrodinger equation with spatially modulated nonlinearity and transverse modulation in nonlinear optics and Bose-Einstein condensate, and obtain bright-type and dark-type vector multipole as well as vortex soliton solutions. When the modulation depth q is fixed as 0 and 1, we can construct vector multipole and vortex solitons, respectively. Based on these solutions, we investigate the form and phase characteristics of vector multipole and vortex solitons.