Multicomponent integrable wave equations II. Soliton solutions
نویسندگان
چکیده
The Darboux–Dressing Transformations developed in [1] are here applied to construct soliton solutions for a class of boomeronic–type equations. The vacuum (i.e. vanishing) solution and the generic plane wave solution are both dressed to yield one soliton solutions. The formulae are specialised to the particularly interesting case of the resonant interaction of three waves, a well-known model which is of boomeronic– type. For this equation a novel solution which describes three locked dark pulses (simulton) is introduced. PACS: 02.30Ik; 02.30Jr
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