Integrable mappings for noncommutative objects

DOI10.1016/S0034-4877(99)80028-7zbMath0988.37086arXivhep-th/9609024MaRDI QIDQ1305713

A. N. Leznov, Emil A. Yuzbashyan

Publication date: 22 July 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9609024

zbMATH Keywords

integrable mappingssuperspacesnoncommutative Darboux-Toda substitution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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• The new look on the theory of integrable systems
• Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation
• The general solution of two-dimensional matrix Toda chain equation with fixed ends

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