Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg-Landau equations with a linear potential.

We analyze interactions between moving dissipative solitons in one- and multidimensional cubic-quintic complex Ginzburg–Landau equations with a linear potential and effective viscosity. The interactions between the solitons are analyzed by using balance equations for the energy and momentum. We demonstrate that the separation between two solitons forming a bound state decreases with the increase of the slope of the linear potential.