Bi-Hamiltonian formulation for the Korteweg–de Vries hierarchy with sources

DOI10.1063/1.530923zbMath0845.35102OpenAlexW1535162109MaRDI QIDQ4873356

Maciej Błaszak

Publication date: 5 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.530923

zbMATH Keywords

KdV hierarchyMiura mapsecond Hamiltonian structurefirst Hamiltonian structure

Mathematics Subject Classification ID

Related Items (6)

The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice ⋮ Hamiltonian finite-dimensional oscillator-type reductions of Lax-integrable superconformal hierarchies ⋮ The two-component camassa-holm equation with self-consistent sources and its multisoliton solutions ⋮ Bargmann-type finite-dimensional reductions of the Lax-integrable supersymmetric Boussinesq hierarchy and their integrability ⋮ The bi-Hamiltonian structure and new solutions of KdV6 equation ⋮ The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• On a non-standard algebraic description of integrable nonlinear systems
• Integration of the Korteweg-de Vries equation with a source
• Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case
• Miura map and Bi-Hamiltonian formulation for restricted flows of the KdV hierarchy

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