Static multi-soliton solutions in the affine su(N+1) Toda models

2015/10/28 by J. Costa de Faria, de Faria, J. Costa, P. Klimas +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th #nlin.SI

paper · pdf · doi:10.48550/arxiv.1510.08396

26 pages, 10 figures

arxiv created 2015/11/04 · arxiv updated 2015/11/05

Abstract

We study some static multi-soliton configurations in the su(N + 1) Toda models. Such configurations exist for N > 1. We construct explicitly a multi-soliton solution for any N and study conditions for having such solutions. The number of static solitons is limited by the rank of the su(N + 1) Lie algebra. We give some examples of non-static multi-soliton solutions with static components.

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