Sato-theoretic construction of solutions to noncommutative integrable systems

DOI10.1016/j.physleta.2010.11.024zbMath1241.37011OpenAlexW2054351121MaRDI QIDQ430699

Kenichi Kondo

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.11.024

zbMATH Keywords

KdVnoncommutative discrete KP equationnoncommutative KP equationSato theoryToda

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Discrete version of topics in analysis (39A12)

Related Items (4)

Binary Darboux transformation for the Gerdjikov-Ivanov equation ⋮ Integrability and geometry of the Wynn recurrence ⋮ Quasi-Grammian solutions of the coupled Gerdjikov-Ivanov equation ⋮ The Coxeter relations and KP map for non-commuting symbols

Cites Work

• Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
• Quasideterminants
• On a direct approach to quasideterminant solutions of a noncommutative KP equation
• On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits
• Noncommutative Extension of \bar∂-Dressing Method
• Quasideterminant solutions of a non-Abelian Hirota–Miwa equation
• On a non-Abelian Hirota–Miwa equation

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