An inversion formula for recursion operator of KP hierarchy

DOI10.1063/1.4938572zbMath1329.37067OpenAlexW2259215502MaRDI QIDQ3463234

Gue-Zhang Tu

Publication date: 12 January 2016

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

Full work available at URL: https://doi.org/10.1063/1.4938572

zbMATH Keywords

inversion formularecursion operatorKP hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Cites Work

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• Recursion operators and bi-Hamiltonian structures in multidimensions. II
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• Nijenhuis G-manifolds and Lenard bicomplexes: A new approach to KP systems
• On generating (2+1)-dimensional hierarchies of evolution equations
• A new (\(1 + 1\))-dimensional matrix \(k\)-constrained KP hierarchy
• The Hamiltonian structure of the (2+1)-dimensional Ablowitz–Kaup–Newell–Segur hierarchy
• Gauge Transformation and Reciprocal Link for (2+1)-Dimensional Integrable Field Systems
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A trace identity and its application to integrable systems of 1 + 2 dimensions
• POISSON-NIJENHUIS STRUCTURES AND SATO HIERARCHY
• Constraints of the 2+1 dimensional integrable soliton systems
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Hamiltonian theory over noncommutative rings and integrability in multidimensions
• A simple model of the integrable Hamiltonian equation
• A List of 1 + 1 Dimensional Integrable Equations and Their Properties

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