Matrix Kadomtsev-Petviashvili equation: tropical limit, Yang-Baxter and pentagon maps

DOI10.1134/S0040577918080056zbMath1402.35066arXiv1709.09848OpenAlexW2891492242WikidataQ129283224 ScholiaQ129283224MaRDI QIDQ1626666

Folkert Mueller-Hoissen, Aristophanes Dimakis

Publication date: 21 November 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09848

zbMATH Keywords

dilogarithmbinary treesolitonKP equationYang-Baxter mappentagon equationhexagon equationtropical limit

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (6)

Bound states of dark solitons in \(N\)-coupled complex modified Korteweg-de Vries equations ⋮ Integrable two-component systems of difference equations ⋮ Tropical limit of matrix solitons and entwining Yang-Baxter maps ⋮ Matrix KP: tropical limit and Yang-Baxter maps ⋮ Re-factorising a QRT map ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps

Cites Work

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• Two-cocycles give a full nonlinear parameterization of the simplest 3--3 relation
• Fusion operators and cocycloids in monoidal categories
• On pentagon, ten-term, and tetrahedron relations
• On matrix generalizations of the dilogarithm
• Simplex and polygon equations.
• KP line solitons and Tamari lattices
• On realizations of Pachner moves in 4d
• KP Solitons, Higher Bruhat and Tamari Orders

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