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Non-trivial class of the mixed U(σ+μ)-vector solitons

A. M. Agalarov·R. M. Magomedmirzaev
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Abstract

There has been found an exact solution of the mixed problem for Shrodinger's compact U(m)-vector nonlinear model with an arbitrary sign of the coupling constant. It is shown, that in case of m>2 there is a new class of solutions - mixed U(σ+μ)-vector solitons with "inelastic" (changing the form without the energy loss) interaction at σ>1 and strict elastic - at σ=1. They correspond to the color complexes consisting of σ-bright and μ-dark solitons (σ+μ=m) and they can exist both in self-focusing and defocusing medias. The universal N-soliton formula for the attraction and repulsion cases has been obtained by the method of Hirota for the first time.

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A. M. Agalarov, R. M. Magomedmirzaev. 2002-09-04. Non-trivial class of the mixed U(σ+μ)-vector solitons. https://doi.org/10.1134/1.1528692

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