Structural properties of the noncommutative KdV recursion operator

DOI10.1063/1.3656271zbMath1272.35170OpenAlexW2009181231MaRDI QIDQ2851777

Cornelia Schiebold

Publication date: 2 October 2013

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

Full work available at URL: https://doi.org/10.1063/1.3656271

zbMATH Keywords

Fuchssteiner hereditary operators

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (8)

On the Recursion Operator for the Noncommutative Burgers Hierarchy ⋮ Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart ⋮ A novel noncommutative KdV-type equation, its recursion operator, and solitons ⋮ Recursion operators admitted by non-abelian Burgers equations: some remarks ⋮ KdV-type equations linked via Bäcklund transformations: remarks and perspectives ⋮ The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation ⋮ Abelian versus non-abelian Bäcklund charts: some remarks ⋮ Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation

Cites Work

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