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.
© 2009 Optical Society of America
Original Manuscript: June 3, 2009
Revised Manuscript: September 12, 2009
Manuscript Accepted: August 27, 2009
Published: September 25, 2009
Y. J. He, Boris A. Malomed, Dumitru Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, "Bound states of one-, two-, and three-dimensional solitons in complex Ginzburg–Landau equations with a linear potential," Opt. Lett. 34, 2976-2978 (2009)