Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods

DOI10.1063/1.3155080zbMath1256.37036OpenAlexW2065850788MaRDI QIDQ3069159

Sandra Carillo, Cornelia Schiebold

Publication date: 24 January 2011

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

Full work available at URL: https://doi.org/10.1063/1.3155080

zbMATH Keywords

matrix algebranonlinear differential equationssolitonsKorteweg-de Vries equationmathematical operators

Mathematics Subject Classification ID

Related Items (19)

On the Recursion Operator for the Noncommutative Burgers Hierarchy ⋮ On matrix Painlevé hierarchies ⋮ The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ Solution classes of the matrix second Painlevé hierarchy ⋮ Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart ⋮ Nonlinear evolution equations: Bäcklund transformations and Bäcklund charts ⋮ The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy ⋮ Lax pair representation and Darboux transformation of noncommutative Painlevé's second equation ⋮ Noncommutative coupled complex modified Korteweg–de Vries equation: Darboux and binary Darboux transformations ⋮ Quasideterminant solutions of NC Painlevé II equation with the Toda solution at \(n = 1\) as a seed solution in its Darboux transformation ⋮ 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 ⋮ Cauchy-type determinants and integrable systems ⋮ The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation ⋮ Abelian versus non-abelian Bäcklund charts: some remarks ⋮ Structural properties of the noncommutative KdV recursion operator ⋮ Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation ⋮ Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions

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