NONCOMMUTATIVE KdV HIERARCHY

DOI10.1142/S0129055X07003036zbMath1144.37029OpenAlexW2160926778MaRDI QIDQ5386918

François Treves

Publication date: 14 May 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x07003036

zbMATH Keywords

Bäcklund transformationsKorteweg-de Vries hierarchynoncommutative differential algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy ⋮ ERRATA: "NONCOMMUTATIVE KdV HIERARCHY" ⋮ Multidimensional Soliton Integrodifferential Systems ⋮ Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods

Cites Work

• Integrable evolution equations on associative algebras
• An algebraic characterization of the Korteweg-de Vries hierarchy
• Nonlinear-Evolution Equations of Physical Significance
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Integrals of nonlinear equations of evolution and solitary waves
• A Theory of Cross-Spaces. (AM-26)

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