Finite-dimensional Liouville integrable hamiltonian systems generated from Lax pairs of a bi-Hamiltonian soliton hierarchy by symmetry constraints

DOI10.1016/J.CNSNS.2017.09.016OpenAlexW2758116776MaRDI QIDQ2205756

Solomon Manukure

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.09.016

zbMATH Keywords

involutive solutionsLiouville integrabilitysoliton hierarchybi-Hamiltonian systemfinite-dimensional system

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)

Related Items (7)

The commutative property of reciprocal transformations and dimensional deformations ⋮ Four-component integrable hierarchies and their Hamiltonian structures ⋮ Reduced AKNS spectral problems and associated complex matrix integrable models ⋮ Four-component integrable hierarchies of Hamiltonian equations with \((m+n+2)\)th-order Lax pairs ⋮ Conservation laws analysis of nonlinear partial differential equations and their linear soliton solutions and Hamiltonian structures ⋮ AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials ⋮ A multi-component integrable hierarchy and its integrable reductions

Cites Work

• Unnamed Item
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• Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
• A soliton hierarchy associated with a new spectral problem and its Hamiltonian structure
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

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