Coupled tapered/uptapered optical beams

For the first time we propose the phenomenon of coupled tapering and uptapering in two mutually incoherent beams coaxially co-propagating in a nonlinear medium with small gain or loss. During tapering or uptapering, the widths and powers of the beams evolve in such a manner that they always satisfy the condition of soliton pairing. It is shown that under certain condition one beam can taper/uptaper, while, other uptaper/taper during coupled tapering/uptapering which is quite counterintuitive.