Tri-Hamiltonian duality between the Wadati-Konno-Ichikawa hierarchy and the Song-Qu-Qiao hierarchy

DOI10.1063/1.4801858zbMath1298.37059OpenAlexW2070756849MaRDI QIDQ5397791

Kai Tian, Qing-Ping Liu

Publication date: 24 February 2014

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

Full work available at URL: https://doi.org/10.1063/1.4801858

zbMATH Keywords

eigenvalue problemdualitybi-Hamiltonian structureSong-Qu-Qiao hierarchyWadati-Konno-Ichikawa hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (8)

Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice ⋮ Moment modification, multipeakons, and nonisospectral generalizations ⋮ On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system ⋮ An integrable four-component Camassa–Holm-type system ⋮ Unnamed Item ⋮ A reciprocal transformation for the Geng-Xue equation ⋮ Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications ⋮ A Synthetical Two-Component Model with Peakon Solutions

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Algebraic aspects of integrable systems: in memory of Irene Dorfman
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem
• New Integrable Nonlinear Evolution Equations
• On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems
• The Korteweg–deVries Equation: A Survey of Results
• Evolution equations possessing infinitely many symmetries
• A simple model of the integrable Hamiltonian equation
• An integrable shallow water equation with peaked solitons
• A new integrable two-component system with cubic nonlinearity

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