Calculation of solitons derived from quivers

2026/06/11 by Takashi Ichikawa · 1 voice
Physics and Astronomy · #nlin.SI

paper · pdf

Abstract

We associate each quiver with soliton solutions of nonlinear integrable systems containing the KP and Toda hierarchies. We give an explicit and computable formula of these soliton solutions which are regarded as universal ones obtained by degenerating quasi-periodic solutions.

Citations

• KP solitons and the Schottky uniformization
• Vertex Operators of the KP hierarchy and Singular Algebraic Curves
• Quasi-periodic solutions of the universal hierarchy
• KP solitons and the Riemann theta functions
• Quasi-periodic solutions to hierarchies of nonlinear integrable equations and bilinear relations
• KP Solitons from Tropical Limits
• On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
• Reducible M-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons
• Tropical curves, their Jacobians and Theta functions
• The irreducibility of the space of curves of given genus

Discussions

• Takashi Ichikawa: Calculation of solitons derived from quivers https://arxiv.org/abs/2606.12829 https://arxiv.org/pdf/2606.12829 https://arxiv.org/html/2606.12829 [bsky, 0 points, 0 comments]

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