New type of nontopological bubbling solutions in the SU(3) Chern–Simons model in R2

Abstract

We are concerned with SU(3) Chern–Simons model in R 2 . Nontopological solutions were shown to exist in [10] in a radially symmetric situation. Also in [10] , there constructed a sequence of partially bubbling solutions, of which one component only bubbles. We here construct a sequence of radial nontopological bubbling solutions of another type explicitly. One component of these bubbling solutions locally converges to a nice function, but both components blow up partially in different regions at infinity at the same time. This type of bubbling solutions not only is a new phenomenon to this type of systems, but also shows a more complicated pattern of the nontopological solution structure than the Abelian Chern–Simons–Higgs equation proposed by [13] , [15] .