Ankiewicz, AdrianAkhmediev, NailSukhorukov, Andrey2015-12-100030-4018http://hdl.handle.net/1885/63625Exact analytical solutions describing multi-soliton complexes and their interactions were derived. The interactions of soliton complexes on top of a multi-component background in media with self-focusing or self-defocusing Kerr-like nonlinearities were analyzed in detail. Results demonstrated soliton collisions and field decomposition between localized and radiation modes which were in agreement with numerical examples.Keywords: Focusing; Nonlinear equations; Optical Kerr effect; Solitons; Multi-soliton complexes (MSC); Radiation modes; Nonlinear optics Bright solitons; Dark solitons; Incoherent; Kerr; Nonlinear Schrödinger equation200110.1016/S0030-4018(01)01336-02015-12-10