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

Y. J. He, Boris A. Malomed, Dumitru Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang

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Abstract

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

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