An involutive system and integrable C. Neumann system associated with the modified Korteweg–de Vries hierarchy

DOI10.1063/1.530497zbMath0806.58045OpenAlexW2073354252MaRDI QIDQ4314267

Zhijun Qiao

Publication date: 7 December 1994

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

Full work available at URL: https://doi.org/10.1063/1.530497

zbMATH Keywords

integrable Hamiltonian systemmodified Korteweg-de Vries equationcompletely integrableC. Neumann 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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (5)

Solutions to the modified Korteweg–de Vries equation ⋮ A hierarchy of nonlinear evolution equations and finite-dimensional involutive systems ⋮ The Neumann type systems and algebro-geometric solutions of a system of coupled integrable equations ⋮ Negative order MKdV hierarchy and a new integrable Neumann-like system ⋮ A hierarchy of generalized AKNS equations, N-Hamiltonian structures and finite-dimensional involutive systems and integrable systems

Cites Work

• A new completely integrable Liouville’s system produced by the Kaup–Newell eigenvalue problem
• The constraints of potentials and the finite-dimensional integrable systems
• Stationary Harry-Dym's equation and its relation with geodesics on ellipsoid
• Integrable Hamiltonian systems related to the polynomial eigenvalue problem
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy

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