Static multi-soliton solutions in the affine su(N+1) Toda models
J. Costa de Faria, P. Klimas
TL;DR
This paper constructs and analyzes static multi-soliton solutions in affine su(N+1) Toda models, revealing how the number of static solitons relates to the Lie algebra's rank and exploring non-static solutions with static parts.
Contribution
It explicitly constructs multi-soliton solutions for any N in affine su(N+1) Toda models and examines conditions for their existence and limitations.
Findings
Number of static solitons limited by su(N+1) rank
Explicit multi-soliton solutions for all N
Examples of non-static solutions with static components
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models