Invertible Coupled KdV and Coupled Harry Dym Hierarchies

DOI10.1111/sapm.12008zbMath1338.37082arXiv1302.0526OpenAlexW2962977460MaRDI QIDQ2857456

Krzysztof Marciniak, Maciej Błaszak

Publication date: 4 November 2013

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0526

zbMATH Keywords

Harry-Dym hierarchy

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) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (1)

Quasi-periodic solutions to a negative-order integrable system of 2-component KdV equation

Cites Work

• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Coupled KdV equations with multi-Hamiltonian structures
• Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
• Coupled Harry Dym equations with multi-Hamiltonian structures
• Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
• Coupled Korteveg–de Vries hierarchy with sources and its Newton decomposition
• Why nonlocal recursion operators produce local symmetries: new results and applications
• On the nonlocal equations and nonlocal charges associated with the Harry Dym hierarchy

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