Integrable Rosochatius deformations of the restricted soliton flows

DOI10.1063/1.2799263zbMath1152.81648OpenAlexW2076562647MaRDI QIDQ3544489

Ruguang Zhou

Publication date: 8 December 2008

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

Full work available at URL: https://doi.org/10.1063/1.2799263

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) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (8)

Symplectic realizations and action-angle coordinates for the Lie-Poisson system of Dirac hierarchy ⋮ Integrable deformations of integrable symplectic maps ⋮ A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy ⋮ Consecutive Rosochatius deformations of the Neumann system ⋮ The generalized Kupershmidt deformation for the fifth-order coupled KdV equations hierarchy ⋮ Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators ⋮ The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems ⋮ A hierarchy of Garnier-Rosochatius systems

Cites Work

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