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Using the dressing Zakharov-Shabat method we re-derive the effects of the two-soliton interactions for the MNLS equations related to the BD.I-type symmetric spaces. Next we generalize this analysis for the Heisenberg ferromagnet type equations, gauge equivalent to MNLS.
Vladimir Gerdjikov, Georgi Grahovski, Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent, Second Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, June 21 - 26 2010, Sozopol (Bulgaria), AIP Conference Proc. (to appear)