Instability of algebraic standing waves for nonlinear Schrodinger equations with triple power nonlinearities

We consider the following triple power nonlinear Schrodinger equation: iu(t) + delta u+ a(1)|u|u + a(2)|u|(2)u + a(3)|u|(3)u = 0. We are interested in algebraic standing waves, i.e standing waves with algebraic decay above equation in dimensions n(n=1, 2, 3).We prove the instability of these solutions in the cases DDF (we use abbreviation D: defocusing (a(i )< 0), F: focusing (a(i) > 0)) and DFF when n=2, 3 and in the case DFF with a(1 )= -1, a(3 )= 1 and a(2 )< 32/15 root 6 when n=1.