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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:nlin/0209012 (nlin)
[Submitted on 4 Sep 2002]

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

Authors: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(\sigma+\mu)-vector solitons with "inelastic" (changing the form without the energy loss) interaction at \sigma>1 and strict elastic - at \sigma=1. They correspond to the color complexes consisting of \sigma-bright and \mu-dark solitons (\sigma+\mu=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.
Comments: 9 pages, LaTex or MiKTex, Submitted to Pis'ma v ZhETF
Subjects: Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:nlin/0209012 [nlin.SI]
  (or arXiv:nlin/0209012v1 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.nlin/0209012
Related DOI: https://doi.org/10.1134/1.1528692

Submission history

From: A. M. Agalarov [view email]
[v1] Wed, 4 Sep 2002 19:42:37 UTC (10 KB)
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