A New Approach to Noncommutative Soliton Equations

DOI10.1143/JPSJ.72.3055zbMath1133.37333OpenAlexW1973321029MaRDI QIDQ4663212

Miki Wadati, Ning Wang

Publication date: 30 March 2005

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.72.3055

zbMATH Keywords

integrabilityinitial value problemmonodromy operatorzero curvature representationnoncommutative soliton equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

Integrable noncommutative sine-Gordon model ⋮ WDVV equation and triple-product relation ⋮ Non-isospectral flows of noncommutative differential-difference KP equation ⋮ Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods ⋮ EXTENDED BOTT–VIRASORO ALGEBRA, SEMIDIRECT PRODUCT, ⋆-LIE ALGEBRA OF DIFFEOMORPHISM AND NONCOMMUTATIVE INTEGRABLE SYSTEMS

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